is equal to the first two months the sum of the large rabbit logarithm. If the N-month large rabbit logarithm is expressed in un, there isUN = un-1 + un-2, n >2 each month the number of large rabbits in the series is: 1,1,2,3,5,8,13,21,34,55,89,144, /c5> this sequence is called the Fibonacci sequence. Recursive method:Using the formula F[n]=f[n-1]+f[n-2], recursive calculation in turn, the recursive end condition is f[1]=1,f[2]=1.code
First, a solution using addition is written in the header file whichfibonaccinumber.h . There is no verification that the input number is less than 0.#ifndef whichfibonaccinumber_h_#define whichfibonaccinumber_h_typedef unsigned long long uint64;//abbreviated unsigned long long , because it is 64 bits, writing UInt64 (meaning: Unsigned int 64 bit)//max = = 18446744073709551615, try to ensure that no overflow. Another: the "General formula" solution needs to open square. UInt64 whichfibonaccinumb
The N queen problem is a typical constraint-solving problem. The recursive mechanism can be used to quickly obtain results.
N queen's question description:
There are n queens on a n * n board, and each queen must be in the row, column, and two diagonal lines, otherwise, these queens will attack each other. As shown in.
The recursive mechanism can be used to easily solve the n
First, the problem description:Place the N-Queens that are not attacked by each other on the board of the NXN grid. According to the rules of chess, the Queen can attack pieces that are on the same line or in the same column or on the same slash. n the problem is equivalent to placing n queens on the re-NXN board, any 2 queens may be on the same row or column or on the same slash.Input:Size of a given checkerboard N (n≤13)Output:How many placement met
The N-Queens problem is a typical constraint solving problem, which can be quickly obtained by using the recursive mechanism.
n the description of the Queen question:
On a n*n chessboard, placing n queens, requiring each queen to be in rows, columns, and two diagonal lines without any other queens, otherwise the Queens will attack each other. As shown in the following figure.
Using recursive mechanism, it
The python iterator implements the Fibonacci evaluate and the python Fibonacci evaluate
The Fibonacci sequence, also known as the Golden series, is also known as the rabbit Series: F (0) = 0, F (1) = 1, F (n) = F (n-1) + F (n-2) (n ≥ 2, n *). For example, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89,144,233,377,610,987,159, 28657,463 ........ this series starts from 3rd
One: Recursive implementation
Using the formula F[n]=f[n-1]+f[n-2], recursive calculation in turn, the recursive end condition is f[1]=1,f[2]=1.
Two: Array implementation
Spatial complexity and time complexity are all 0 (n), which is more efficient and faster than recursion.
Three:vectorTime complexity is 0 (n), time complexity is 0 (1), is not aware of vector efficiency is not high, of course, Vector has its own properties will occupy resources.
Four:queueOf course the queue is more suitable th
Approximate test instructions: Enter two nonnegative integers, a, B, and positive integer n. Calculates f (a^b)%n. Among them F[0]=f[1]=1, F[i+2]=f[i+1]+f[i]. That is to calculate the large Fibonacci number and then take the modulus.First saw the big Fibonacci number, think of the matrix fast power, output wait a few seconds before output, will definitely time out. Because all calculations are to be modulo,
Fibonaccitime limit: 1000/1000 MS (Java/others) memory limit: 32768/32768 K (Java/Others)
Total submission (s): 3569 accepted submission (s): 1627
Problem description is coming in 2007. After one year of practice in 2006, zouyu, a mathematical prodigy, finally ranked 0 to 100000000 In the Fibonacci series.
(F [0] = 0, F [1] = 1; F [I] = f [I-1] + F [I-2] (I> = 2 )) all the values are backed up.
Next, codestar decided to test him, so every time he a
The beauty of programming: 2.9 Fibonacci series, 2.9 Fibonacci
The Fibonacci series is a classic example of recursion when we are learning the C language. Of course, there will also be an example of the tower of legends.
This problem is defined as follows:
0 (x
F (x) = 1 (x = 1)
F (x-1) + f (x-2) (x> 1)
After seeing this recursive formula, we can easily write th
10236-the Fibonacci Primes
Time limit:3.000 seconds
Http://uva.onlinejudge.org/index.php?option=com_onlinejudgeItemid=8category=24page=show_problem problem=1177
Note that the description of this topic is different from the description of Fibonacci prime on Wikipedia.
The above-highlighted text shows that Fibonacci Prime can be screened with a similar number
ObjectiveRecent learning process, do not know what kind of thinking divergent, and suddenly met the Queen problem, and then the same cliché, the mind pondering, although the idea of everyone is easy to understand, even the simplest savage backtracking method, said simple, but if you have to code to achieve? Can I write out the code of OK at once? I questioned this, so I wrote the code, found that writing this kind of algorithm problem, the most import
One: Recursive implementationUsing the formula F[n]=f[n-1]+f[n-2], recursion is computed sequentially, and the recursive end condition is f[1]=1,f[2]=1.
Two: Array implementationThe space complexity and time complexity are all 0 (n), and the efficiency is generally faster than that of recursion.
three:vectorThe time complexity is 0 (n), the time complexity is 0 (1), the vector is not known to be highly efficient, of course the vector has its own attributes will occupy resources.
Four:queueOf
One: Recursive implementationusing the formula F[n]=f[n-1]+f[n-2], recursion is computed sequentially, and the recursive end condition is f[1]=1,f[2]=1.
Two: Array implementationthe space complexity and time complexity are all 0 (n), and the efficiency is generally faster than that of recursion.
Three:vectorthe time complexity is 0 (n), the time complexity is 0 (1), the vector is not known to be highly efficient, of course the vector has its own attributes will occupy resources.
Four:queueof
daughter's King. There is also a legend, saying that she is like Wu Zetian, the word "ghost", her own table words.
Word of mouth
Guo
The lady's parents died early and caught up with the war. They were not allowed to enter Hou hou Fu, tongshu, in short, Cao's tietong likes "Yu Jie" and "wife" ||| ). Later, I did not know how to be discovered by Cao Yu (maybe like Lu Buwei xianfei.
Legend of Shijing,
Guo
The lady is not only born and different, but also has a different technique in
1. What is Queen N?
Place n queens that are not under attack on the chessboard of n × n grids. According to the rules of chess, the queen can attack pawns in the same row, column, or diagonal line. The problem after n is equivalent to placing n queens on the n × n board. Any two queens may wish to be on the same row, column, or diagonal line.
Ii. Algorithms
1. Place the first
Luogp1962 Fibonacci series, P1962 Fibonacci SeriesBackground
As we all know, the Fibonacci series is a series that meets the following characteristics:
• F (1) = 1
• F (2) = 1
• F (n) = f (n-1) + f (n-2) (n ≥ 2 and n is an integer)Description
Find the value of f (n) mod 1000000007.Input/Output Format
Input Format:
· Row 1st: an integer n
Output Format:
Row 3:
First: Using a For loopThe use of the For loop, does not involve functions, but this method for my small white is a good understanding of the function of a more abstract ...1 >>> fibs = [0,1]2 for in range (8):3 Fibs.append (Fibs[-2] + fibs[-1])45 >>> fibs6 [0, 1, 1, 2 , 3, 5, 8, 13, 21, 34]Or, enter a dynamic length:1fibs = [0,1]2num = input ('howmany Fibonacci numbers does you want? ' )3 for in range (Num-2):4 fibs.append (Fibs[-2] + Fi
Topic Transfer: UVA-10229Idea: The simple matrix quickly powers the Fibonacci sequence, then notice that the intermediate result can explode int, because 2^19 has more than 500,000AC Code:#include Uva-10229-modular Fibonacci (Matrix fast Power + Fibonacci)
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