After reading this section of number theory, I think this algorithm is too incisive. In fact, it is really great to extend the Euclidean Algorithm to translate the formula in the book into code. I am still struggling with it like sb, in fact, I have already figured it out.
However, the second method in the book to solve the binary one-time indefinite equation is still in struggle...
Using the inference in the theorem, we can conclude that there must b
Miyu original, post Please note: Reprinted from __________ White House Question address:Http://acm.hdu.edu.cn/showproblem.php? PID = 1, 2199Description:Can you solveThisEquation? Time limit:2000/1000MS (Java/Others) memory limit:32768/32768K (Java/Others)Total submission (s ):322Accepted submission (s ):148 Problem descriptionNow, given the equation8 * X ^ 4 + 7 * X ^ 3 + 2 * X ^ 2 + 3 * X + 6 = Y, can you find its solution 0 And 100 ;Now please Try
Obtain a solid root of the high equation 2x ^ 4-4x ^ 3 + 6x ^ 2-8x-8 = 0 (accuracy requirement: 10 ^-3)
Algorithm analysis is as follows: There are many real-root algorithms for High-Level equations. Here we introduce a kind of bipartite method.
If the higher-order equation f (x) is set to 0, a real root algorithm is obtained using the bipartite method as follows:
1. input the initial values X1 and X2 and c
Assuming that the solution curve family of the differential equation (which forms a series of curves by vertical translation), the points above the entire plane (XY), then we arbitrarily select a point, the pity Dorado into dy/dx=f (x, y), then you can calculate the slope of the pity Dorado is the tangent of a solution curve at that point.clear S T x0 y0 a bsyms s t%s->x, t corresponds to y%f=sin (s) *sin (t);%f=t-s^2; F=-2*s*t/(1+s^2);% f=cos (s); a=
"Reprint Please specify source" Http://www.cnblogs.com/mashiqi2016/12/121. Gauss's Law (Gauss's Laws): electric fieldThe electric charge (electic charges) produces a static electric field (static electric field). The electrostatic field line starts at a positive charge and points to a negative charge. The total amount of charge in any area is proportional to the second-type area of the corresponding electric field on the surface of the area. Represented by a formula is $$\int_{\omega} \FRAC{\RHO
Title DescriptionThe minimum positive integer solution for the congruence equation ax≡1 (mod b) of x is obtained.Input/output formatInput Format:Enter only one row, containing two positive integers a, b, separated by a space. output Format:The output has only one row and contains a positive integer x0, which is the minimum positive integer solution. The input data guarantees that there must be a solution.Input/Output sampleInput Sample # #:3 10Sample
Codeforces Little Dima and Equation mathematical question
B. Little Dima and Equationtime limit per test1 secondmemory limit per test256 megabytesinputstandard inputoutputstandard output
Little Dima misbehaved during a math lesson a lot and the nasty teacher Mr. Pickles gave him the following problem as a punishment.
Find all integer solutionsX(0?
X?
X? =?
B·
S(
X)
A? +?
C,?
WhereA,B,CAre some predetermined constant values and functionS(X)
discussed in Chaper1.About the concept of difference equations:Set sequence a={a0,a1,a2......an}, the first order difference is as follows;A0=a1-a0A1=a2-a1A2=a3-a2Nth first-order difference is an=a (n+1)-anWe use an example to simply apply it.EX1: A savings fund with an initial value of $1000, with a monthly interest rate of 1%, set its value to a, and a value of 1010,1020.10,10030.30 after n months respectively.Establish first-order differential:a0 = A1–A0 = 10A1 = A2–A1 = 10.10a2 = A3–A2 = 10
Scout YYF I
Topic Connection:http://poj.org/problem?id=3744Test instructionsThere is a person to go to a place called "Mine Road", the route is a straight line, starting point in 1, the road has n mines, coordinates between [1, 100000000], this person each time have P (0.25≤p≤0.75) probability forward step, and have 1-p probability forward two steps, The probability that this cargo is safe to reach "mine road" through the minefield.ExercisesBy using the characteristic
This question is only the test you finally have (R-L)/2 just ...
Total time limit:
1000ms
Memory Limit:
65536kB
Describe
The two-way equation is used to find a root between (-10, 10).2x3-4x3x-6 = 0
Input
a nonnegative real E, less than 1, whose value represents the allowable error
Output
solution then output-1.Sample Input2214 575 56519 54 40 24 8011 2 36 20 76Sample outputcase 1:341case 2:5,996Authordigiter (Special Thanks Echo)Source acm-icpc multi-university Training Contest (--host by Bjtu)#include #include#includestring.h>#include#includeusing namespacestd;/*for X=r0 (mod M0) x=r1 (mod m1) ... x=rn (mod mn) input arrays M and array R, returns the 0,[m0,m1 of [mn]-1,..., x0] in the range that satisfies the above equation. All sol
Topic Links:http://poj.org/problem?id=1320Main topic:Solve two unequal positive integers n, m (n(n,m).Ideas:To make 1 + 2 + ... + N = (n+1) + ... + M, then n (n+1)/2 = (m-n) (m+n+1)/2, i.e.(2*m+1) ^2-8*n^2-1, so that x = 2*m + 1,y = N, there is x^2-8*y^2 = 1, it becomes the typical Pell equation,Known X1 = 3,y1 = 1, by Iteration formula:xn = x (n-1) *x1 + d*y (n-1) *y1yn = x (n-1) *y1 + y (n-1) *x1SoX (n+1) = 3*xn + 8*ynY (n+1) = xn + 3*ynAC Code:#inc
Topic Links:http://acm.hdu.edu.cn/showproblem.php?pid=3579Main topic:Kiki had x coins, she counted n times in different ways, each time she divided the coins into equal-sized groups and recorded each A group of coinsThe number of MI and the last remaining coins in the number of AI. So here's the question: how many coins are there in total?Ideas:The typical unary linear congruence equation Group x = Ai (mod Mi) solution. The problem requires the output
Test instructionsGorwin is very interested in equations. Nowadays she gets a equation like thisX1+x2+ x 3+ ? +xn=n , and here0≤XI≤NFOR1≤I≤NXI≤XI+1≤XI+1For1≤i≤n−1 For a certain N, Gorwin wants to know how many combinations of xi satisfies above condition .For the answer is very large, you is expected output the result after it modular m. 1≤T 1≤n≤50000 1≤m≤1000000000 Ideas:The number of adjacent two, the latter is either equal
Topic linksBrain Supplement Knowledge: Perfang PoorIt seems very clear, the smallest I, corresponding to the smallest solutionHowever, I understand that a cycle of the solution, and then is wrong, and later, look carefully + manual deduction found the problem. I start with a 0 variable, knowing that the first solution to satisfy the equation is the smallest solution.The problem turns to the problem of the continuous fraction of the square root n, the
The equation A5+b5+c5+d5+e5=f5 has exactly one integer solution satisfying the 01 usingSystem;2 3 namespacereversetheexponentiation4 {5 class Program6 {7 Static voidMain (string[] args)8 {9Program P =NewProgram ();Ten p.reversetheexponentiation (); One } A - voidreversetheexponentiation () - { the intA, B, C, D, E, F; - for(F = the; F >0; f--) - { -
The secant METHODIn numerical analysis, the secant method was a root-finding algorithm that uses a succession of roots of secant lines to be tter approximate a root of a function f. The secant method can be thought of as a finite difference approximation of Newton ' s method. However, the method was developed independently of Newton's method, and predated the latter by over 3,000 years.1 /*2 * =====================================================================================3 *4 * Filename:
Title Link: BZOJ-3129Problem analysisThe idea of using the partition method, if there are no restrictions, then the program number is C (m-1, n-1).If there is a limitation of Xi >= Ai, then we can subtract the M from Ai-1, which is equivalent to a fixed portion of this part to Xi, which translates into unrestricted conditions.What if there are some restrictions on the XI Consider the allowance: consider which restrictions are violated, that is, what restrictions are XI Then we can find out the a
Test instructions: Click to open linkThe m,k is represented as a D-system, for this recursive function, each recursion is a permutation of each digit, to find out each bit of the circulation section, and finally F (m) =k is to be equal to each, that is, the Juchenchu equation Group.Code:#include Copyright NOTICE: This article for Bo Master original article, without Bo Master permission not reproduced. Mathematical derivation + high-precision conversi
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