introduction to design analysis of algorithms

intended to improve the performance in the worst case, but to minimize the occurrence of 7.3-2 in the worst case, n elements are divided into n-1 and 1 each time, and 1 element does not need to be further divided. Therefore, in the case of O (n) times, it is best to divide each element from the middle, and recursive formula n (n) = 1 + 2 * n (n/2) = O (N)7.4 Quick Sort Analysis 7.4-1 no definition of these symbols found 7.4-2 see

right subcount. This is the next traversal process */Public Boolean isbalancedtree (binarytreenode Iii. Determination of Binary Search Tree (BST) Reference: http://www.2cto.com/kf/201310/250996.html [Analysis] The ordinal traversal of BST is an incremental series, so you can use the ordinal traversal to judge. This is also a recursive call, which requires an address-based call. Therefore, you cannot use Int or interger to define the pre. First,

. (This nature is not a necessary condition for dynamic programming, but without this nature, the dynamic programming algorithm has no advantage over other algorithms) Iv. Basic steps of the solutionThe problem that dynamic programming deals with is a multi-stage decision-making problem, which usually starts from the initial state and reaches the end state through the choice of the intermediate stage decision. These decisions form a sequence of decisi

In-depth analysis of distributed algorithms for NoSQL Databases System scalability is the main reason for promoting the development of NoSQL, including distributed system coordination, failover, resource management and many other features. In this case, NoSQL sounds like a big basket, and everything can be inserted. Although the NoSQL movement has not brought about fundamental technological changes to dist

;//Bottom-up adjustment large top pile while(X >1 m_datalist[parent (x)-1] 1]) {Swap (m_datalist[parent (x)-1], m_datalist[x-1]); x = Parent (x); }}voidMaxpriqueue::insert (intx) {m_queuesize++; M_datalist[m_queuesize-1] = X1; Increasekey (m_queuesize, x);}voidMaxpriqueue::maxheapify (int*data,inti) {intlargest;intleft = left (i);intright = right (i);if(left 1] > Data[i-1]) largest = left;Elselargest = i;if(Right 1] > Data[largest-1]) largest = right;if(Largest! = i) {Swap (Data[i-1], Dat

the solution order, solve each sub-problem only once, and save the results. The solution to this sub-problem is then needed again, just to find the saved result without having to recalculate it. so in the final analysis, dynamic planning is a typical time-space tradeoff by paying extra memory space to save compute time. Two implementation methods of dynamic programmingThe first top-down method with a memoThe second method of bottom-up　　The first is s

: regardless of the computing power of a single machine, the relational functions of computing power and algorithm efficiency (increase and decrease correlation) Progressive symbol (theta): removes the lower order and constant factor. For example, 3n ^ 3 + 90n ^ 2-5n + 6046 = theta (N ^ 3) (the third-order growth rate of N)The progressive symbol is not related to the computing capability. (Different computing capabilities are only constant factors in the formula) In actual

functions. During the design process, useful information about the distribution of keywords can be leveraged. A good way to export a hash value should be independent of any pattern that the data may exist in some way. Here are two basic ways to construct a hash function: (1) Division hashing Method The method of division hashing is simple, that is, the keyword K is removed to a number m, the remainder, so that the K map to one of the M slots, that is

I have learned a lot about various sorting algorithms, such as Bubble sorting and fast sorting. But in books, I only want to introduce the sorting of several numbers. How can I apply it to real work. In fact, this is a universal design problem of algorithms. If you know C ++ STL, you will know this design idea and prin

grayscale interpolation process [1]. Image interpolation is an important part of image super-resolution processing, different interpolation algorithms have different accuracy, the quality of interpolation algorithm directly affects the degree of distortion of image. The most commonly used interpolation algorithms are three kinds:Nearest neighbor interpolation, bilinear interpolation, cubic convolution, whe