Title:Given an array of non-negative integers, you is initially positioned at the first index of the array.Each element of the array represents your maximum jump length is at that position.Determine if you is able to reach the last index.for example:a =[2,3,1,1,4" , Returntrue . A = [3,2,1,0,4] , return false .idea: Dynamic programming solution, we maintain two variables, a local optimal, a global optimal.
The Dynamic planner solves the whole problem by combining the solution of sub-problem, divides the problem into sub-problem, solves each sub-problem recursively, and then merges the solution of the sub-problem to get the solution of the original problem. And divide and conquer the idea of the same algorithm, the difference is that the divide-and-conquer algorithm is suitable for independent sub-problems, and for the non-independent sub-problem, that is, each sub-problem contains the common sub-s
Absrtact: Using the genetic algorithm to solve the 0-1 programming problem, the problem of using traditional optimization method to solve the long search time is solved. However, because the kernel algorithm of genetic algorithm contains random search method, the "optimal solution" is not necessarily optimal, that is to say, in a great problem, the optimal soluti
As mentioned above, the most typical dynamic planning is to solve the optimization problem (with the optimal sub-structure optimization problem). The optimal binary search tree is a typical optimization problem.
Problem description:
Given the central sequence of an nelement, it can have several binary sorting trees of different shapes in catlan. (For definitions and proofs of catlan numbers, see composite m
The previous two articles on the dynamic planning of "steel pipe cutting" and "matrix chain multiplication", feel this article, can also be regarded as the end of the work. In fact, according to the first two articles, to here, can also carry out some summary, we can find some regularity of things. The so-called dynamic programming, in fact, is to solve recursive calls, there may be repeated calculation sub-problem, resulting in a lot of time to do the problem of repetitive work. The solution is
Liu zitao
Here we mainly introduce a method to prove that the greedy algorithm is the best: Exchange Argument (I do not know how to translate it to Chinese and Exchange parameters? It sounds awkward, not like the name of a method ~ O (Clerk □clerk) o)
The main idea of Exchange Argument is to assume that an optimal algorithm is the closest to our greedy algorithm, and then Exchange one step (or element) of the two algorithms ), A new
optimal binary search tree to solve this problem.The best binary search tree and the optimal binary search treeGiven an ordered sequence of group-length n keywords k=and the probability of the occurrence of the corresponding keyword p=Since the keyword we are retrieving may not be in the tree, we need to n+1 a pseudo-keywordGiven a set of pseudo-keywords with a length of n+1 d=where D0 represents a value l
algorithm is a simple greedy search algorithm, is an improvement of depth first search, using feedback information to help generate solution decision, belongs to the artificial intelligence algorithm.The heuristic method is used to select an optimal solution from the adjacent solution space of the current solution and replace it with the current solution until a local optimal solution is reached.Disadvanta
1. Questions If the value of the coin is {1, 1*c, 2*c, ..., k*c}, then the greedy algorithm always uses the fewest coins for change. such as "discrete mathematics and its applications," the greedy algorithm of the inverse example: There are denominations of 1, 10, 25 coins, looking for 30.Solution of greedy algorithm: 5c0 + 0c1 + 1c2 = 5*1 + 0*10 + 1*25 = 30, total 6 coins requiredand the optimal solution is: 0c0 + 3c1 + 0c2 = 0*1 + 3*10 + 0*25 = 30,
Question-related definitions: (1) triangular subdivision of convex polygon : A set of chords that divides a convex polygon into a disjoint triangle. (2) Optimal split : A given convex polygon p, and a weight function w defined on a triangle that consists of a polygon's edge chord. It is required to determine the triangulation of the convex polygon, so that the sum of the weights in the triangles is minimized. To split the case. If Convex (n+1) edge
1. Basic ideas:Greedy algorithm is a series of choices to get the solution of the problem, it makes the choice is the best choice in the current situation, that is, the greedy algorithm does not consider the overall optimal, but consider the current situation of the local optimal, that is greedy choice.2. Two properties of the greedy algorithm:1) Greedy Choice nature: the overall
I. What is an optimal binary tree?
In my personal understanding, the optimal binary tree is to form a tree through a combination of given destination weighted nodes (individual nodes. minimum tree weight. the optimal binary tree is a binary tree with the shortest length of the weight path. The shape of the optimal bina
[Introduction to algorithms] "optimal binary search tree" for Dynamic Planning
The previous two Articles respectively talked about Dynamic PlanningSteel Pipe Cutting"And"Matrix chain multiplication", I feel this article can also be regarded as an ending. In fact, based on the first two articles, we can also make some conclusions here. We can find some regular things.
The so-called dynamic planning is actually to solve the problem of repeated computin
Problem description
Given a sequence K = {K1, K2,..., composed of n different keywords ,..., kN}, and the keywords are ordered. For each key word Ki, the probability of one search for Ki is pi. Some search values may not be in K, so there are n + 1 virtual keys D0, D1,..., DN represents a value no longer in K. D0 indicates all values smaller than K1, and DN indicates all values greater than kn. for I =,..., n-1, di indicates all values between KI and Ki + 1. For each virtual key Di, the probabil
many grams of rice. General knapsack problem can be solved by greedy algorithm. The greedy algorithm can find the optimal solution at each stage, and the optimal state of each stage is obtained by the optimal state of the previous stage. )The problem that can be solved by dynamic programming needs to have the following two main characteristics:1) Overlapping sub
I. Basic Concepts
1. The Huffman tree, also known as the optimal binary tree or the optimal search tree, is a binary tree with the shortest length of the weight path. In many applications, a meaningful real number is often assigned to a node in the tree, which is called the right of the node. The product between the path length from the root node to the node and the permission on the node is called the weig
Python uses the Backtracking Method subset tree template to solve the optimal Job Scheduling Problem example, python backtracking
This example describes how Python solves the optimal Job Scheduling Problem Based on the subset tree template of the Backtracking Method. We will share this with you for your reference. The details are as follows:
Problem
Given n jobs, each job has two subtasks that need to be co
Tree path length the tree path length is the sum of the path lengths from the root to each node in the tree. In a binary tree with the same number of nodes, the path length of the Complete Binary Tree is the shortest. Weight of the weighted path length of tree (wpl) node of the tree: in some applications, assign a meaningful real number to the node in the tree and the length of the weighted path of the node: the length of the path from the node to the root of the tree and the length of the weigh
1. Introduction to Genetic algorithmsGenetic algorithm, a computational model that simulates the evolution of natural selection and biological Evolution , is an algorithm that constantly chooses good individuals. When it comes to genetics, think about the nature of animal genetics, the main process of nature, including chromosome selection, crossover, mutation, after these operations, to ensure that the future is basically the best, then continue to iterate in this way, you can always be
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