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- It's Gary's birthday today and he has ordered his favourite square cake consisting of '0's and '1's . But Gary wants the biggest piece of '1's and no '0's . A piece of cake is defined as a part which consist of only '1's, and all '1's share an edge with each other on the cake. Given the size of cake N and the cake, can you find the count of '1's in the biggest piece of '1's for Gary ?Input Format :The first line of input contains an integer, that denotes the value of N. Each of the following N lines contain N space separated integers.Output Format :Print the count of '1's in the biggest piece of '1's, according to the description in the task.Constraints :1 <= N <= 1000Time Limit: 1 secSample Input 1:21 10 1Sample Output 1:3 Solution: /////////////////public class Solution { static int[][] dir = { { 1, 0 }, { -1, 0 }, { 0, 1 }, { 0, -1 } }; public static int dfs(String[] edge, int n) { boolean[][] visited = new boolean[n][n]; int max = 0; for(int…G E N E T I C - A L G O R I T H M This is a map of 7 cities (A, B, C, D, E, F, and G) that are connected with each other via different paths. Your job is to visit every city just once covering the minimum distance possible. You have to find the optimal combination of cities using a Genetic Algorithm. You can start at any point and end at any point but keep in mind that every city must be visited. Encode the problem and create an initial population of 4 different chromosomes. Using an appropriate fitness function, perform natural selection to choose the 2 fittest chromosomes. Perform single-point crossover from the 3rd index of your selected chromosomes to get 2 offspring. Are they eligible as a solution? If not, explain with reason. Would the usual method of mutation work here? Explain your opinion.Wireless sensor networks (WSNs) refer to a domain of communication networks. In a WSN, small devices called sensor nodes are used for data transfer among each other and a base station. One limitation of a sensor node is that it has a very limited processing capability and very small memory. Consider a scenario in which you have an algorithm that can be subdivided into smaller problems. If you have to run these sub-problems in different sensor nodes, would you prefer to use divide & conquer approach or dynamic programming approach? Write briefly and precisely.
- Assume that you are asked to write a pseudocode of a genetic algorithm to find an optimal road for a new Amazon delivery truck driver who is also new in town. He departs from Amazon warehouse and has to go through n houses by the end of his day (h1,h2,…,hn). Given that we know the distance between these houses (called dij = distance(hi, hj), and dsi = distance(s,hi) with s being the Amazon warehouse. At the end of the day, the truck will go back to the warehouse s. So a typical road would look like: s -> h2 -> h1 -> h3 ….-> hn-1 -> hn -> S. Please use genetic algorithm with the above framework to write a pseudo code to find a road that minimize the distance that he needs to travel. In your pseudocode, please feel free to suggest the size of the initial population, the fitness function, choose how you do cross-over and mutation. You don’t have to implement this pseudo code but will be graded on the details you could provide so that people who are implementing it would…Lion king from the jungles of Hakuna Matata likes random numbers. Let F4(X) be the number of digits 4 in the decimal representation of X, and F7(X) be the number of digits 7 in the decimal representation of X. The Lion king wants to know the largest product F4(X) · F7(X), where L< X < R. In other words, he wants to know the value max{F4(X) · F7(X) : L < X < R}. Create a C++ code for the printing the output of the test case. Input: 1 45 75 Output: 1Alice is a kindergarten teacher. She wants to give some candies to the children in her class. All the children sit in a line and each of them has a rating score according to his or her performance in the class. Alice wants to give at least 1 candy to each child. If two children sit next to each other, then the one with the higher rating must get more candies. Alice wants to minimize the total number of candies she must buy. Example arr = [ 4, 6, 4, 5 , 6 , 2 ] She gives the students candy in the following minimal amounts: [ 1, 2, 1, 2, 3, 1 ] . She must buy a minimum of 10 candies. Function Description Complete the candies function in the editor below. candies has the following parameter(s): int n: the number of children in the classint arr[n]: the ratings of each studentReturns int: the minimum number of candies Alice must buyInput Format The first line contains an integer, n , the size of arr.Each of the next n lines contains an integer arr[ i ] indicating the rating of the…
- 3. To defeat Electro, Spider-Man needs to connect all of the pylons (vertices) in the graph below, with the numbers representing the difficulty of making the connection. Use Kruskal's algorithm to determine a minimum cost spanning tree for the following graph. Briefly describe the algorithm and how it works, and include the total cost as part of your answer. 1 3 1 1 5 3 3 4. 4 2 2 4 3 4. The Green Goblin has set up a spooky (and deadly) scavenger hunt around New York City, starting and ending at LaGuardia airport. Gobby has taken Spider-Man's web shooters, so he is stuck using public transit, where the listed times below are the average number of minutes to travel between locations. In order to save Aunt May, Peter must find a circuit that will take 155 or fewer minutes. If he can find a path that takes 140 or fewer minutes, he can save Aunt May AND stop the Green Goblin (AND you hi 2.Wireless sensor networks are a special kind of network that facilitates communication. Sensor nodes in WSNs relay information to and from a central base station. The computing resources and storage space of a sensor node are limited. Take, for example, an algorithm that can be solved by solving subproblems. Is it preferable to use dynamic programming or divide and conquer to solve these subproblems independently at various sensor nodes? Try to keep your writing short and sweet.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.
- 15 10 8 14 7 3 8 2 11 17 This is a map of 7 cities (A, B, C, D, E, F, and G) which are connected with each other via different paths. Your job is to visit every city just once covering the minimum distance possible. You have to find the optimal combination of cities using Genetic Algorithm. You can start at any point and end at any point but keep in mind that every city must be visited. 1. Encode the problem and create an initial population of 4 different chromosomes. [ ' 2. Using an appropriate fitness function, perform natural selection to choose the 2 fittest chromosomes. 3. Perform single point crossover from the 3rd index of your selected chromosomes to get 2 offspring. Are they eligible as a solution? If not, explain with reason. "i 4. Would the usual method of mutation work here? Explain your opinion. :2. Honest Goblins are Easy to Find At Hogwarts a new shipment of n goblins has arrived. To be of any use, a goblin must be completely truthful (never lies). Unfortunately, not all of the n goblins in the shipment are truth tellers. Only some are truth-tellers, and some are deceivers. It is your task to design an algorithm to separate the truth-teller goblins from the deceiver goblins. To do this, you have one tool available: You may combine any two goblins and have them state whether the other goblin is a truth-teller or a deceiver. A truth-teller will always say correctly what the other goblin is, but a deceiver may lie (but also may sometimes tell the truth to REALLY confuse you). For any two goblins that you test, the following can be concluded from the goblin responses: Goblin A says Goblin B says Conclusion B is a truth-teller A is a truth-teller both are truth-tellers or both are deceivers B is a truth-teller A is a deceiver at least one is a deceiver B is a deceiver A is a…Given two prime numbers, P1 and P2, your task is to reach from P1 to P2 by changing only one digit at a time and also the number you get after changing a digit must also be a prime. For example suppose that P1 is 1033 and P2 is 8179 (both primes), we can reach from P1 to P2 in following way:- 1033-> 1733-> 3733-> 3739-> 3779-> 8779-> 8179. The first digit must be non-zero that is you can not go from 4-digit to 3-digit numbers. Note that there may be multiple way to get to destination but you have to find the way in minimum number of steps. For example the minimum number of steps to get from P1 to P2 in following examples are as follows 1033 8179 ANWSER:- 6 1373 8017 ANWSER:- 7 1033 1033 ANWSER:- 0 Hint: Apply BFS