Hill climbing algorithm in artificial intelligence with example ppt - Random-restart hill climbing is a series of hill-climbing searches with a randomly selected start node whenever the current search gets stuck. See also simulated annealing -- in a moment. A hill climbing example A hill climbing example (2) A local heuristic function Count +1 for every block that sits on the correct thing.

 
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Mar 22, 2023 · Artificial Intelligence is the study of building agents that act rationally. Most of the time, these agents perform some kind of search algorithm in the background in order to achieve their tasks. A search problem consists of: A State Space. Set of all possible states where you can be. A Start State. For example, in the graph below, (J) will go to (K) and vice versa repeatedly. If I was programming it, I guess I would put some sort of flag on the visited states so I know if I'm revisiting the same one. However, there is no mention of this in the documentation (i.e here, here) about the Steepest Hill Climbing algorithm.Description: This lecture covers algorithms for depth-first and breadth-first search, followed by several refinements: keeping track of nodes already considered, hill climbing, and beam search. We end with a brief discussion of commonsense vs. reflective knowledge. move. For example, we could try 3-opt, rather than a 2-opt move when implementing the TSP. Unfortunately, neither of these have proved satisfactory in practice when using a simple hill climbing algorithm. Simulated annealing solves this problem by allowing worse moves (lesser quality) to be taken some of the time. This information can be in the form of heuristics, estimates of cost, or other relevant data to prioritize which states to expand and explore. Examples of informed search algorithms include A* search, Best-First search, and Greedy search. Example: Greedy Search and Graph Search. Here are some key features of informed search algorithms in AI:HILL CLIMBING: AN INTRODUCTION • Hill Climbing is a heuristic search used for mathematical optimization problems in the field of Artificial Intelligence. • Given a large set of inputs and a good heuristic function, it tries to find a sufficiently good solution to the problem.Jul 21, 2019 · Hill Climbing Algorithm: Hill climbing search is a local search problem. The purpose of the hill climbing search is to climb a hill and reach the topmost peak/ point of that hill. It is based on the heuristic search technique where the person who is climbing up on the hill estimates the direction which will lead him to the highest peak. Feb 8, 2022 · Ex:- Some games like chess, hill climbing, certain design and scheduling problems. Figure 5: AI Search Algorithms Classification (Image designed by Author ) Search algorithm evaluating criteria: 4. Uniform-cost Search Algorithm: Uniform-cost search is a searching algorithm used for traversing a weighted tree or graph. This algorithm comes into play when a different cost is available for each edge. The primary goal of the uniform-cost search is to find a path to the goal node which has the lowest cumulative cost.Best first search algorithm: Step 1: Place the starting node into the OPEN list. Step 2: If the OPEN list is empty, Stop and return failure. Step 3: Remove the node n, from the OPEN list which has the lowest value of h (n), and places it in the CLOSED list. Step 4: Expand the node n, and generate the successors of node n. Hill-climbing Search The successor function is where the intelligence lies in hill-climbing search It has to be conservative enough to preserve significant “good” portions of the current solution And liberal enough to allow the state space to be preserved without degenerating into a random walk Hill-climbing search Problem: depending on ... ICS 171 Fall 2006 Summary Heuristics and Optimal search strategies heuristics hill-climbing algorithms Best-First search A*: optimal search using heuristics Properties of A* admissibility, monotonicity, accuracy and dominance efficiency of A* Branch and Bound Iterative deepening A* Automatic generation of heuristics Problem: finding a Minimum Cost Path Previously we wanted an arbitrary path to ... Disadvantages: The question that remains on hill climbing search is whether this hill is the highest hill possible. Unfortunately without further extensive exploration, this question cannot be answered. This technique works but as it uses local information that’s why it can be fooled. The algorithm doesn’t maintain a search tree, so the ...Beam Search : A heuristic search algorithm that examines a graph by extending the most promising node in a limited set is known as beam search. Beam search is a heuristic search technique that always expands the W number of the best nodes at each level. It progresses level by level and moves downwards only from the best W nodes at each level.hill climbing search algorithm1 hill climbing algorithm evaluate initial state, if its goal state quit, otherwise make current state as initial state2 select...A sufficiently good solution to the desired function, given sufficient training data goal from the state!: when reaching a plateau, jump somewhere hill climbing algorithm in artificial intelligence with example ppt and restart the algorithm, the algorithm with. Is a heuristic search Puzzle problem in AI ( Artificial Intelligence...Hill-Climbing Search The hill-climbing search algorithm (or steepest-ascent) moves from the current state towards the neighbor-ing state that increases the objective value the most. The algorithm does not maintain a search tree but only the states and the corresponding values of the objective. The “greediness" of hill-climbing makes it vulnera- Dec 16, 2020 · Applications of hill climbing algorithm. The hill-climbing algorithm can be applied in the following areas: Marketing. A hill-climbing algorithm can help a marketing manager to develop the best marketing plans. This algorithm is widely used in solving Traveling-Salesman problems. It can help by optimizing the distance covered and improving the ... Hill Climbing Algorithm: Hill climbing search is a local search problem. The purpose of the hill climbing search is to climb a hill and reach the topmost peak/ point of that hill. It is based on the heuristic search technique where the person who is climbing up on the hill estimates the direction which will lead him to the highest peak.More on hill-climbing • Hill-climbing also called greedy local search • Greedy because it takes the best immediate move • Greedy algorithms often perform quite well 16 Problems with Hill-climbing n State Space Gets stuck in local maxima ie. Eval(X) > Eval(Y) for all Y where Y is a neighbor of X Flat local maximum: Our algorithm terminates ...In simple words, Hill-Climbing = generate-and-test + heuristics. Let’s look at the Simple Hill climbing algorithm: Define the current state as an initial state. Loop until the goal state is achieved or no more operators can be applied on the current state: Apply an operation to current state and get a new state.This information can be in the form of heuristics, estimates of cost, or other relevant data to prioritize which states to expand and explore. Examples of informed search algorithms include A* search, Best-First search, and Greedy search. Example: Greedy Search and Graph Search. Here are some key features of informed search algorithms in AI:Hill-climbing (or gradient ascent/descent) \Like climbing Everest in thick fog with amnesia" function Hill-Climbing(problem) returns a state that is a local maximum inputs: problem, a problem local variables: current, a node neighbor, a node current Make-Node(Initial-State[problem]) loop do neighbor a highest-valued successor of current Note that the way local search algorithms work is by considering one node in a current state, and then moving the node to one of the current state’s neighbors. This is unlike the minimax algorithm, for example, where every single state in the state space was considered recursively. Hill Climbing. Hill climbing is one type of a local search ... Feb 8, 2022 · Ex:- Some games like chess, hill climbing, certain design and scheduling problems. Figure 5: AI Search Algorithms Classification (Image designed by Author ) Search algorithm evaluating criteria: Abstract: The paper proposes artificial intelligence technique called hill climbing to find numerical solutions of Diophantine Equations. Such equations are important as they have many applications in fields like public key cryptography, integer factorization, algebraic curves, projective curves and data dependency in super computers. HILL CLIMBING: AN INTRODUCTION • Hill Climbing is a heuristic search used for mathematical optimization problems in the field of Artificial Intelligence. • Given a large set of inputs and a good heuristic function, it tries to find a sufficiently good solution to the problem.Courses. Artificial Intelligence (AI) refers to the simulation of human intelligence in machines that are programmed to think and act like humans. It involves the development of algorithms and computer programs that can perform tasks that typically require human intelligence such as visual perception, speech recognition, decision-making, and ...If there are no cycles, the algorithm is complete Cycles effects can be limited by imposing a maximal depth of search (still the algorithm is incomplete) DFS is not optimal The first solution is found and not the shortest path to a solution The algorithm can be implemented with a Last In First Out (LIFO) stack or recursionAbstract: The paper proposes artificial intelligence technique called hill climbing to find numerical solutions of Diophantine Equations. Such equations are important as they have many applications in fields like public key cryptography, integer factorization, algebraic curves, projective curves and data dependency in super computers. Mar 4, 2021 · Introduction. Hill Climbing In Artificial Intelligence is used for optimizing the mathematical view of the given problems. Thus, in the sizable set of imposed inputs and heuristic functions, an algorithm tries to get the possible solution for the given problem in a reasonable allotted time. Hill climbing suits best when there is insufficient ... Here we discuss the types of a hill-climbing algorithm in artificial intelligence: 1. Simple Hill Climbing. It is the simplest form of the Hill Climbing Algorithm. It only takes into account the neighboring node for its operation. If the neighboring node is better than the current node then it sets the neighbor node as the current node.Dec 14, 2016 · Hill climbing algorithm in artificial intelligence sandeep54552 4.8K views • 7 slides Hill climbing algorithm Dr. C.V. Suresh Babu 2.4K views • 14 slides Heuristic Search Techniques Unit -II.ppt karthikaparthasarath 669 views • 31 slides Sep 21, 2021 · Hill climbing algorithm in artificial intelligence. Hill Climbing Algorithm in Artificial Intelligence o Hill climbing algorithm is a local search algorithm which continuously moves in the direction of increasing elevation/value to find the peak of the mountain or best solution to the problem. o It terminates when it reaches a peak value where no neighbor has a higher value. o Hill climbing ... Dec 16, 2020 · Applications of hill climbing algorithm. The hill-climbing algorithm can be applied in the following areas: Marketing. A hill-climbing algorithm can help a marketing manager to develop the best marketing plans. This algorithm is widely used in solving Traveling-Salesman problems. It can help by optimizing the distance covered and improving the ... State Space Representation and Search Page 20 Example 1: Greedy Hill Climbing without Backtracking Example 2: Greedy Hill Climbing without Backtracking 12. The A Algorithm The A algorithm is essentially the best first search implemented with the following function: f(n) = g(n) + h(n) where g(n) - measures the length of the path from any state n ...In the depth-first search, the test function will merely accept or reject a solution. But in hill climbing the test function is provided with a heuristic function which provides an estimate of how close a given state is to goal state. The hill climbing test procedure is as follows : 1.As far as I understand, the hill climbing algorithm is a local search algorithm that selects any random solution as an initial solution to start the search. Then, should we apply an operation (i.e., ... search. optimization. hill-climbing. Nasser. 201. asked Jan 19, 2018 at 15:07. 1 vote.• Steepest ascent, hill-climbing with limited sideways moves, stochastic hill-climbing, first-choice hill-climbing are all incomplete. • Complete: A local search algorithm is complete if it always finds a goal if one exists. • Optimal: A local search algorithm is complete if it always finds the global maximum/minimum. 4. Uniform-cost Search Algorithm: Uniform-cost search is a searching algorithm used for traversing a weighted tree or graph. This algorithm comes into play when a different cost is available for each edge. The primary goal of the uniform-cost search is to find a path to the goal node which has the lowest cumulative cost.Ex:- Some games like chess, hill climbing, certain design and scheduling problems. Figure 5: AI Search Algorithms Classification (Image designed by Author ) Search algorithm evaluating criteria:Using Computational Intelligence • Heuristic algorithms, ... Illustrative Example Hill-Climbing (assuming maximisation) 1. current_solution = generate initialApr 24, 2021 · hill climbing algorithm with examples#HillClimbing#AI#ArtificialIntelligence The less optimal solution and the solution is not guaranteed. Algorithm for Simple Hill Climbing: Step 1: Evaluate the initial state, if it is a goal state then return success and Stop. Step 2 ...Hill climbing algorithm is one such optimization algorithm used in the field of Artificial Intelligence. It is a mathematical method which optimizes only the neighboring points and is considered to be heuristic. A heuristic method is one of those methods which does not guarantee the best optimal solution. This algorithm belongs to the local ...Local search algorithms • Hill-climbing search – Gradient descent in continuous state spaces – Can use, e.g., Newton’s method to find roots • Simulated annealing search • Local beam search • Genetic algorithms • Linear Programming (for specialized problems) • Steepest ascent, hill-climbing with limited sideways moves, stochastic hill-climbing, first-choice hill-climbing are all incomplete. • Complete: A local search algorithm is complete if it always finds a goal if one exists. • Optimal: A local search algorithm is complete if it always finds the global maximum/minimum.Hill climbing algorithm in artificial intelligence sandeep54552 4.8K views • 7 slides Hill climbing Mohammad Faizan 67.7K views • 49 slides AI Lecture 3 (solving problems by searching) Tajim Md. Niamat Ullah Akhund 3.5K views • 71 slidesApr 20, 2023 · Courses Hill climbing is a simple optimization algorithm used in Artificial Intelligence (AI) to find the best possible solution for a given problem. It belongs to the family of local search algorithms and is often used in optimization problems where the goal is to find the best solution from a set of possible solutions. See full list on cs50.harvard.edu Introduction to hill climbing algorithm. A hill-climbing algorithm is a local search algorithm that moves continuously upward (increasing) until the best solution is attained. This algorithm comes to an end when the peak is reached. This algorithm has a node that comprises two parts: state and value.Hill Climbing Search Solved Example using Local and Global Heuristic Function by Dr. Mahesh HuddarThe following concepts are discussed:_____...Hill-climbing Algorithm In Best-first, replace storage by single node Works if single hill Use restarts if multiple hills Problems: finds local maximum, not global plateaux: large flat regions (happens in BSAT) ridges: fast up ridge, slow on ridge Not complete, not optimal No memory problems Beam Mix of hill-climbing and best first Storage is ... Simple Hill Climbing: Simple hill climbing is the simplest way to implement a hill climbing algorithm. It only evaluates the neighbor node state at a time and selects the first one which optimizes current cost and set it as a current state.Such a technique is called Means-Ends Analysis. Means-Ends Analysis is problem-solving techniques used in Artificial intelligence for limiting search in AI programs. It is a mixture of Backward and forward search technique. The MEA technique was first introduced in 1961 by Allen Newell, and Herbert A. Simon in their problem-solving computer ... May 9, 2021 · Hill-climbing and simulated annealing are examples of local search algorithms. Subscribe Hill climbing algorithm is a local search algorithm which continuously moves in the direction of increasing elevation/value to find the peak of the mountain or best solution to the problem. It terminates when it reaches a peak value where no neighbor has a ... First, let's talk about the Hill climbing in Artificial intelligence. Hill Climbing Algorithm. It is a technique for optimizing the mathematical problems. Hill Climbing is widely used when a good heuristic is available. It is a local search algorithm that continuously moves in the direction of increasing elevation/value to find the mountain's ...May 26, 2022 · In simple words, Hill-Climbing = generate-and-test + heuristics. Let’s look at the Simple Hill climbing algorithm: Define the current state as an initial state. Loop until the goal state is achieved or no more operators can be applied on the current state: Apply an operation to current state and get a new state. CSCI 5582 Artificial Intelligence. CS 2710, ISSP 2610 R&N Chapter 4.1 Local Search and Optimization * Example Local Search Problem Formulation Group travel: people traveling from different places: See chapter4example.txt on the course schedule. From Segaran, T. Programming Collective Intelligence, O’Reilly, 2007. Feb 21, 2023 · Implementation of Best First Search: We use a priority queue or heap to store the costs of nodes that have the lowest evaluation function value. So the implementation is a variation of BFS, we just need to change Queue to PriorityQueue. // Pseudocode for Best First Search Best-First-Search (Graph g, Node start) 1) Create an empty PriorityQueue ... Hill Climbing. Hill climbing is one type of a local search algorithm. In this algorithm, the neighbor states are compared to the current state, and if any of them is better, we change the current node from the current state to that neighbor state.Feb 21, 2023 · Implementation of Best First Search: We use a priority queue or heap to store the costs of nodes that have the lowest evaluation function value. So the implementation is a variation of BFS, we just need to change Queue to PriorityQueue. // Pseudocode for Best First Search Best-First-Search (Graph g, Node start) 1) Create an empty PriorityQueue ... May 15, 2023 · Here’s the pseudocode for the best first search algorithm: 4. Comparison of Hill Climbing and Best First Search. The two algorithms have a lot in common, so their advantages and disadvantages are somewhat similar. For instance, neither is guaranteed to find the optimal solution. For hill climbing, this happens by getting stuck in the local ... Simple Hill Climbing: Simple hill climbing is the simplest way to implement a hill climbing algorithm. It only evaluates the neighbor node state at a time and selects the first one which optimizes current cost and set it as a current state.Say the hidden function is: f (x,y) = 2 if x> 9 & y>9. f (x,y) = 1 if x>9 or y>9 f (x,y) = 0 otherwise. GA Works Well here. Individual = point = (x,y) Mating: something from each so: mate ( {x,y}, {x’,y’}) is {x,y’} and {x’,y}. No mutation Hill-climbing does poorly, GA does well.Say the hidden function is: f (x,y) = 2 if x> 9 & y>9. f (x,y) = 1 if x>9 or y>9 f (x,y) = 0 otherwise. GA Works Well here. Individual = point = (x,y) Mating: something from each so: mate ( {x,y}, {x’,y’}) is {x,y’} and {x’,y}. No mutation Hill-climbing does poorly, GA does well.hill climbing search algorithm1 hill climbing algorithm evaluate initial state, if its goal state quit, otherwise make current state as initial state2 select...Title: Hill-climbing Search 1 Hill-climbing Search. Goal Optimizing an objective function. Can be applied to goal predicate type of problems. BSAT with objective function number of clauses satisfied. Intuition Always move to a better state ; 2 Some Hill-Climbing Algos. Start State empty state or random state or special state ; Until (no ...👉Subscribe to our new channel:https://www.youtube.com/@varunainashots 🔗Link for AI notes: https://rb.gy/9kj1z👩‍🎓Contributed by: Nisha GuptaHill Climbing ...الذكاء الاصطناعي خوارزمية تسلق القمة Hill Climbing algorithmخوارزميات البحث الذكية خوارزميات البحث الطماعة( الجشعة ...Hill-climbing (or gradient ascent/descent) function Hill-Climbing (problem) returns a state that is a local maximum inputs: problem, a problem local variables: current, a node neighbor, a node current Make-Node(problem.Initial-State) loop do neighbor a highest-valued successor of current if neighbor.Value current.Value then return current.State Hill climbing algorithm Dr. C.V. Suresh Babu 2.4K views • 14 slides Genetic Algorithm Pratheeban Rajendran 4.7K views • 16 slides Genetic algorithm ppt Mayank Jain 38.6K views • 26 slidesIn simple words, Hill-Climbing = generate-and-test + heuristics. Let’s look at the Simple Hill climbing algorithm: Define the current state as an initial state. Loop until the goal state is achieved or no more operators can be applied on the current state: Apply an operation to current state and get a new state.Mohammad Faizan Follow Recommended Heuristc Search Techniques Jismy .K.Jose 9.6K views•49 slides Hill climbing algorithm in artificial intelligence sandeep54552 4.7K views•7 slides Control Strategies in AI Amey Kerkar 28.6K views•76 slides Hill climbing algorithm Dr. C.V. Suresh Babu 2.4K views•14 slidesHill Climbing. Hill climbing is one type of a local search algorithm. In this algorithm, the neighbor states are compared to the current state, and if any of them is better, we change the current node from the current state to that neighbor state.Simulated Annealing (SA) • SA is a global optimization technique. • SA distinguishes between different local optima. SA is a memory less algorithm, the algorithm does not use any information gathered during the search SA is motivated by an analogy to annealing in solids. Simulated Annealing – an iterative improvement algorithm. 7/23/2013 4.Abstract: The paper proposes artificial intelligence technique called hill climbing to find numerical solutions of Diophantine Equations. Such equations are important as they have many applications in fields like public key cryptography, integer factorization, algebraic curves, projective curves and data dependency in super computers.Artificial Intelligence Methods Graham Kendall Hill Climbing Hill Climbing Hill Climbing - Algorithm 1. Pick a random point in the search space 2. Consider all the neighbours of the current state 3. Choose the neighbour with the best quality and move to that state 4. Repeat 2 thru 4 until all the neighbouring states are of lower quality 5. Such a technique is called Means-Ends Analysis. Means-Ends Analysis is problem-solving techniques used in Artificial intelligence for limiting search in AI programs. It is a mixture of Backward and forward search technique. The MEA technique was first introduced in 1961 by Allen Newell, and Herbert A. Simon in their problem-solving computer ... A class of general purpose algorithms that operates in a brute force way The search space is explored without leveraging on any information on the problem Also called blind search, or naïve search Since the methods are generic they are intrinsically inefficient E.g. Random Search Algorithm for Simple Hill Climbing: Step 1: Evaluate the initial state, if it is goal state then return success and Stop. Step 2: Loop Until a solution is found or there is no new operator left to ...Apr 20, 2023 · Courses Hill climbing is a simple optimization algorithm used in Artificial Intelligence (AI) to find the best possible solution for a given problem. It belongs to the family of local search algorithms and is often used in optimization problems where the goal is to find the best solution from a set of possible solutions. * Simple Hill Climbing Example: coloured blocks Heuristic function: the sum of the number of different colours on each of the four sides (solution = 16). * Steepest-Ascent Hill Climbing (Gradient Search) Considers all the moves from the current state. Selects the best one as the next state. Description: This lecture covers algorithms for depth-first and breadth-first search, followed by several refinements: keeping track of nodes already considered, hill climbing, and beam search. We end with a brief discussion of commonsense vs. reflective knowledge. Jul 21, 2022 · Hill climbing is basically a search technique or informed search technique having different weights based on real numbers assigned to different nodes, branches, and goals in a path. In AI, machine learning, deep learning, and machine vision, the algorithm is the most important subset. With the help of these algorithms, ( What Are Artificial ...

CSCI 5582 Artificial Intelligence. CS 2710, ISSP 2610 R&N Chapter 4.1 Local Search and Optimization * Example Local Search Problem Formulation Group travel: people traveling from different places: See chapter4example.txt on the course schedule. From Segaran, T. Programming Collective Intelligence, O’Reilly, 2007.. Mandm rule 34

hill climbing algorithm in artificial intelligence with example ppt

Introduction to hill climbing algorithm. A hill-climbing algorithm is a local search algorithm that moves continuously upward (increasing) until the best solution is attained. This algorithm comes to an end when the peak is reached. This algorithm has a node that comprises two parts: state and value.الذكاء الاصطناعي خوارزمية تسلق القمة Hill Climbing algorithmخوارزميات البحث الذكية خوارزميات البحث الطماعة( الجشعة ...Can’t see past a single move in the state space. Simple Hill Climbing Example TSP - define state space as the set of all possible tours. Operators exchange the position of adjacent cities within the current tour. Heuristic function is the length of a tour. TSP Hill Climb State Space Steepest-Ascent Hill Climbing A variation on simple hill ...Aug 16, 2021 · Hill climbing algorithm. HILL CLIMBING ALGORITHM Dr. C.V. Suresh Babu (CentreforKnowledgeTransfer) institute HILL CLIMBING: AN INTRODUCTION • Hill Climbing is a heuristic search used for mathematical optimization problems in the field of Artificial Intelligence. • Given a large set of inputs and a good heuristic function, it tries to find a ... Hill-climbing The “biggest” hill in the solution landscape is known as the global maximum. The top of any other hill is known as a local maximum (it’s the highest point in the local area). Standard hill-climbing will tend to get stuck at the top of a local maximum, so we can modify our algorithm to restart the hill-climb if need be.Apr 9, 2014 · Hill-climbing The “biggest” hill in the solution landscape is known as the global maximum. The top of any other hill is known as a local maximum (it’s the highest point in the local area). Standard hill-climbing will tend to get stuck at the top of a local maximum, so we can modify our algorithm to restart the hill-climb if need be. Introduction. Hill Climbing In Artificial Intelligence is used for optimizing the mathematical view of the given problems. Thus, in the sizable set of imposed inputs and heuristic functions, an algorithm tries to get the possible solution for the given problem in a reasonable allotted time. Hill climbing suits best when there is insufficient ...Artificial intelligence (AI) is intelligence exhibited by machines. In computer science, the field of AI research defines itself as the study of "intelligent agents": any device that perceives its environment and takes actions that maximize its chance of success at some goal. Colloquially, the term "artificial intelligence" is applied when a ...Following are the types of hill climbing in artificial intelligence: 1. Simple Hill Climbing. One of the simplest approaches is straightforward hill climbing. It carries out an evaluation by examining each neighbor node's state one at a time, considering the current cost, and announcing its current state.Practice. Uniform-Cost Search is a variant of Dijikstra’s algorithm. Here, instead of inserting all vertices into a priority queue, we insert only the source, then one by one insert when needed. In every step, we check if the item is already in the priority queue (using the visited array). If yes, we perform the decrease key, else we insert it.See full list on cs50.harvard.edu Dec 16, 2020 · Applications of hill climbing algorithm. The hill-climbing algorithm can be applied in the following areas: Marketing. A hill-climbing algorithm can help a marketing manager to develop the best marketing plans. This algorithm is widely used in solving Traveling-Salesman problems. It can help by optimizing the distance covered and improving the ... الذكاء الاصطناعي خوارزمية تسلق القمة Hill Climbing algorithmخوارزميات البحث الذكية خوارزميات البحث الطماعة( الجشعة ....

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