represented by T (N). If an auxiliary function f (n) exists ), so that when n approaches infinity, the limit value of T (N)/F (n) is a constant not equal to zero, then f (n) is T (N). It is recorded as T (n) = O (f (n), and O (f (N) is the progressive time complexity of the algorithm.In different algorithms, if the number of statement executions in the algorithm is a constant, the time complexity is O (1).
that looks for the best results. Two. Complexity of spaceSpatial complexity (space complexity) is a measure of the amount of storage space that is temporarily occupied by an algorithm while it is running.The amount of storage space
an incredible liking for intelligence testing, which we call "Intelligence Testing Preferences ".
Well, let's get down to the truth. After reading the ggmm of this blog, you don't have to go through the brain when you interview this question. You can blurt out, write it out, or take it out (coding, what is that ?).
// Do not use the temp integer exchange, just a little mathematical trick :)Void notempswap (Int A, Int B){A = A + B;B = A-B;A = A-B;}
The time
This chapter is relatively short!Spatial complexity (space complexity) and auxiliary spaces (auxiliary space) are often mixed, and the following are the definitions of the correct auxiliary space and spatial complexityAuxiliary space
constant number of execution times, the time complexity is O (1), in addition, the time frequency is not the same, the time complexity may be the same, such as T (n) =n2+3n+4 and T (n) =4n2+2n+1 their frequency is different, but the time complexity of the same, all O ( N2).In order of magnitude increments, common time comple
"Pick" time complexity and space complexity 2007-09-16 13:43
1. Complexity of Time (1) Time frequencyThe time taken by an algorithm can not be calculated theoretically, it must be tested on the machine to know. But we can not and do not need to test each algorithm on the machine, just know which algorithm
, but also on the initial state of the input instance. The algorithm for finding the given value K in the value a[0..n-1] is roughly the following: i=n-1; while (i>=0 (a[i]!=k)) i--; return i; The frequency of the statement (3) In this algorithm is not only related to the problem size n, it is also related to the value of each element of a in the input instance and the value of K: ① If there is no element equal to K in a, the frequency of the statement (3) f (n) =n;② if the last element of a is
The complexity of the algorithm is divided into time complexity and space complexity.Its role:Time complexity refers to the computational effort required to perform the algorithm;Spatial complexity refers to the amount of memory space
=100;while (y>0) if (x>100) {x=x-10;y--;} else x + +;Answer: T (n) =o (1),This app looks a little scary and runs 1000 times in total, but did we see n?Didn't. The operation of this program is independent of N,Even if it circulates for another 10,000 years, we don't care about him, just a constant order function "2" when there are several loop statements, the time complexity of the algorithm is determined by the frequency f (n) of the most inner state
1. preface
/***** This article will try to explain something about:* -- Bubble sort.* -- Quick sort.* -- Merge sort.* -- Heap sort.* To read this, some prerequisites is necessary:* -- A keep ve skill in C programming language.* -- A basic skill in CPP.* -- Basic knowledge about Time complexity and Space complexity.* -- A generous mind for my fault because this ar
of K: ① If there is no element equal to K in a, the frequency of the statement (3) f (n) =n;② if the last element of a is equal to K, the frequency f (n) of the statement (3) is the constant 0. 5, Time complexity evaluation performance: There are two algorithms A1 and A2 solve the same problem, the time complexity is T1 (n) =100n2,t2 (n) =5n3 (1) When the input amount nsecond, the
=100;while (y>0) if (x>100) {x=x-10;y--;} else x + +;Answer: T (n) =o (1),This app looks a little scary and runs 1000 times in total, but did we see n?Didn't. The operation of this program is independent of N,Even if it circulates for another 10,000 years, we don't care about him, just a function of constant order http://hovertree.com/"2" when there are several loop statements, the time complexity of the algorithm is determined by the frequency f (n)
1. What is the data structure:
There have been many different interpretations of the concept of data structure, and there are also many different controversies. This only represents my personal understanding.
Data Structure: how can we store a large number of complex problems in reality in a specific data type and storage structure to the primary memory (memory), and on this basis to implement
Functions (such as searching for an element and deleting an element). The corresponding operation is al
Document directory
Space complexity
The fastest sorting algorithm is bucket sorting.
Time Complexity
N ^ 2 indicates the square of N. Selecting sorting is sometimes called directly selecting sorting or simply selecting sorting.
Sorting Method
Average time
Best time
Worst time
Sort buckets (unstable)
O (N)
O (N)
O (N)
the memory space occupied when the algorithm program is running.
Time Complexity
First, let's talk about the problem of time efficiency. The time efficiency here refers to the execution time of the algorithm. The speed of time is a relative concept, so it comes to the algorithm, what measures should we use to measure the time efficiency (execution time) of an algorithm?
At the beginning, we came up with
memory is needed to run the program. In addition to requiring storage space and storing the instructions, constants, variables, and input data used by the store itself, a program needs some working units to manipulate the data and a secondary space to store some of the information needed for realistic computing. The storage space required for program execution
Candy [leetcode] O (n) time complexity, O (1) space complexity method, candyleetcode
The relationship between ratings [I + 1] and ratings [I] is as follows:
1. Equal. When the value is equal, ratings [I + 1] corresponds to 1 candy.
2. ratings [I + 1]> ratings [I]. In this case, you need to find the incremental Sequence starting with ratings [I.
3. ratings [I + 1]
Algorithm Analysis
The same problem can be solved by different algorithms, and the quality of an algorithm will affect the efficiency of the algorithm and even the program. Algorithm analysis aims to select appropriate algorithms and improve algorithms. The evaluation of an algorithm mainly involves time complexity and space complexity.
1. Time
put on N3 above
N4 N4
N3 N3
N2 N2 N2 N2 N2 N2
N1 N1 N1 N1 N1 N1 N1
I finally bought the last one! I found that only 0.5 is needed to stack this book on N3, and 0.55 is needed to stack it on N4! Of course, I will not choose the one that costs too much.
N4 N4 N5
N3 N3
N2 N2 N2 N2 N2 N2
N1 N1 N1 N1 N1 N1 N1
So I bought the book. I bought three, four, three, two, and one. The purchase method is the same as that in the teaching material.
Iv. algorithm time c
I. Question
How to sort n numbers requires time complexity O (N) and space complexity O (1)
Ii. Answers
Key: hash table, meaning of 1 in space complexity O (1) (as long as it is a constant)It seems that any knownAlgorithmIf anyone does, all sorting methods: quicksort
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