, Updatebuilder, DeletebuilderUsing QueryBuilder is because we want to perform a complete query to return the ListFor update we are not concerned with the return value, directly usingArticledaoope.updateraw (statement, arguments); incoming SQL and Parameters ~ ~Why in that Articledaoope.updatebuilder (). Updatecolumnvalue ("name", "zzz"). where (). EQ ("user_id", 1); Such a pain.The same is true for Deletebuilder or the suggestion to directly spell SQL, except, of course, simply to use its api~7
Description
In the Fibonacci integer sequence,F0 = 0,F1 = 1, andFN=FN− 1 +FN−2N≥2. For example, the first ten terms of the Fibonacci sequence are:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34 ,...
An alternative formula for the Fibonacci sequence is
.
Given an integerN, Your goal is to compute the last 4 digitsFN.
Hint
As a reminder, matrix multiplication is associative, and the product of two 2 × 2 matrices is given
.
Also, note that raising any 2 × 2 matrix to The 0th power gives the identity matrix:
.
Question link:
Http://acm.hdu.edu.cn/showproblem.php? PID = 1, 4471
Question meaning:
Evaluate F (n ).
When N is a special point NK
Solution:
When X is not a special point, use the basic matrix to quickly calculate the power of F [X]. when X is a special point, use another matrix and perform left-side shift.
That is to say, according to the special point NK, 1-N is divided into many sections, one Section and one special point are calculated back and forth.
Two optimizations:
1. Because the
Go straight to the topic and talk less about it.
The company's form and Team status directly affect our selection of development frameworks. As stated in the previous article, our low-cost development team is more focused on fast and saving. The framework should be open-source without additional costs; the development should be fast, and the customer needs should be followed up more quickly;CodeEasy to use, any trainedProgramAlmost all members are competent.
The leader has always instilled i
Question: Can you obtain the nth Fibonacci number? 0
The output result mod32768 is too large.
Idea: Generally, the methods for finding the Fibonacci series are recursive, dynamic, or rolling optimization, but the space or time complexity is too high, now there is an optimization algorithm that uses a matrix plus a rapid power to maintain the time complexity in logn.
Initialize a 2 × 2 matrix. If the initial value is {,}, it indicates {A2, A1, A1,
HDU 1588 Gauss Fibonacci (matrix Rapid power + binary proportional sequence summation)
ACM
Topic address: HDU 1588 Gauss Fibonacci
Question:G (I) = K * I + B; I is a variable.Given K, B, n, m, question (f (G (0) + f (G (1) +... + f (G (N) % m value.
Analysis:If we include the Fibonacci matrix, we will find that this is an equiratio sequence.Push down:
S(g(i))
= F(b) + F(b+k) + F(b+2k) + .... + F(b+nk)
// Set a = {1, 1, 1}, (curly brackets ind
HDU 2842 Chinese rings (with constant matrix + rapid matrix power)
ACM
Address: HDU 2842 Chinese rings
Question:A Chinese ring, the K ring to be unlocked first needs to be unlocked before (K-2) a ring, and leave the (k-1) ring. It takes at least a few steps to unlock N rings.
Analysis:If F (n) is set, the N ring is unlocked.1. Due to the game rules, the N-Ring cannot be completely unlocked at once, or n-1 N-Ring cannot be removed.2. First remove the N
HDU 2294 pendant (DP + matrix Rapid power dimensionality reduction)
ACM
Address: HDU 2294 pendant
Question:Tuhao made jewelry for his sister. He had K kinds of pearls, n of each. To show off the wealth, he needed to use each Pearl. Ask him how many pieces of jewelry with a length of [1, N] can be made.
Analysis:1 ≤ n ≤ 1,000,000,000 is terrible.First, consider DP. Obviously, you can think of the following:dp[i][j] = (k-(j-1))*dp[i-1][j-1] + j*dp[i-1][
.
The square matrix of N + 2 rows is constructed because 2333 can be multiplied by 10 and 3.
It is roughly as follows:
10 0 0 0 ...... 0 1
10 1 0 0 ...... 0 1
10 1 1 0 ...... 0 1
......
10 1 1 1 ...... 1 1
0 0 0 ...... 0 1
The required column matrix is roughly as follows:
23 ...... 3
A, 0
A 2, 0
......
A n, 0
3
The correctness of recursion can be calculated and verified.
Here, the matrix is completed through struct and operator overloading.
Code:
#include
ACM learning process-hdu5015 233 ma
Address: HDU 2842
This game is a nine-serial game.
Assume that the first N rings are to be detached. Because you want to meet the first N-2 are removed, so first to unload the first N-2, need F (n-2) times. Then the N to unload the need for 1, and then this time to unload n-1, and then before the N-2 has been removed. At this time, the first n-2 is removed and all installed on the required number of times is the same, because the removal and installation of the rules is the same. So we need F (n
Question: Chinese question so easy
Solution: this is the original issue of HDU 2256,
According to similar conclusions
Intermediate Matrix
Ta 1
TB Ta
Original Matrix
1
1
Solution code:
1 // file name: temp. CPP 2 // Author: darkdream 3 // created time: wednesday, September 17, 2014, 45 seconds, 4 5 # include View code
HDU 4565 so easy! Rapid matrix power + number of condentions
Meaning: Chinese is not explained
Solution:
The intermediate matrix is
5 2
12 5
The initial matrix is
2 (coefficient of root number B)
5 (coefficient of)
Solution code:
1 #includeView code
HDU 2256 problem of precision matrix Rapid power + number of condentions
program implemented in Step 4, The Cuda optimization technology is used to further improve the performance of parallel programs. The main optimization includes two aspects: Communication Optimization and kernel optimization.
A) CPU and GPU Communication Optimization
GPU computing requires data transmission between the CPU and the GPU. Reasonable Use of communication optimization technology can improve the performance of GPU parallel programs, such as stream technology to hide the communication
Tags: des blog HTTP Io OS strong for div sp Tri Tiling
Time limit:1000 ms
Memory limit:65536 K
Total submissions:7841
Accepted:4113
Description In how many ways can you tile a 3xn rectangle with 2x1 dominoes?Here is a sample tiling of a 3x12 rectangle.
Input Input consists of several test cases followed by a line containing-1. Each test case is a line containing an integer 0 Output For each test case, output one integer
description error. I think they will always be the only one who will see the problem, and they will remember the meaning of the problem from a vague description. However, in the customer support environment, inaccurate or incomplete error reports waste more time than other reasons. Write every error message as if you are explaining the situation to someone who just walks into the room and has no experience with this code. After all, the customer and customer support team have no experience in t
Rapid mean Blur for image processing (box blur)
The essence of Image Blur: From the Perspective of digital signal processing, image blur requires suppression of high-frequency signals to retain low-frequency signals,
Convolution filtering is an alternative method to suppress high-frequency signals. Select a low-frequency filter
Each pixel is used for low-frequency filtering, so that the overall effect is that a digital image is more blurred and shows
apply this transfer matrix to the code?
F (1) = A, F (2) = BTherefore, F (3) = 2a + B + 34 = 2a + B + 24 + 4 × 23 + 6 × 22 + 4 × 21 + 20Figure (3)
For ease of expression.Figure (3)The left side of the multiplication number is called the transfer matrix.A, The four matrices on the right of the multiplication sign areB2,B3,B4,B5......
The information we can obtain is:B2 × A = B3, B3 × A = B4, B4 × A = B5 ......B2 × a2 = B4, B2 × a3 = B5, B2 × A4 = B6 ......Then we were surprised to find that B2 ×
A little before!When you are still in void Main, when you are still in the public class, when you are still in When you are using C, do you know that PY can develop the web?When you are still worried about the strict grammar, do you know that we do not play for a space is not the right to face the compiler does not pass the embarrassment?When you understand the beauty of dynamic language, do you want to know which type of dynamic language is easiest to start with?Now is not the original need to
/documents directory) and output a phpinfo () look.If you need to install MySQL, you can turn off the current terminal, and then open the ITerm2 you just installed, enter the following command:Brew Install MySQLAfter the installation is complete, enter the following command:Mysql_secure_installationAfter the carriage return, follow the prompts to configure the basic security options for MySQL in one step.All reboots, set to boot can use the launch rocket installed above, the effect is as shown:Y
ways, such as random selection, predetermined decision paths, or direct control by intruders. 3. modularity of attack tools. The new attack tool is able to change quickly, either by upgrading or by replacing parts of the module, compared to a previous attack tool that only implements an attack. Moreover, attack tools can be run on more and more platforms. For example, many attack tools use standard protocols such as IRC and HTTP to transmit data and commands, which makes it more difficult to an
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