Question:B. Non-square EquationTime limit per test 1 secondMemory limit per test 256 megabytesInput standard inputOutput standard outputLet's consider equation:X2 second + second s (x) · x second-second n second = second 0, second,Where x, random n are positive integers, s (x) is the function, equal to the sum of digits of number x in the decimal number system.You are given an integer n, find the smallest positive integer root of equation x, or else d
Newton's Iterative method was used to find the root of the equation near 1.5:2x^3-4x^2+3x-6=0.Solution: Newton's Iterative method is also called Newton tangent method. Setf =2x^3-4x^2+3x-6,F1 is the derivative of the equation, thef1 = 6x^2-8x+3, and f1= (f (x0) -0)/(X0-X1), deduced:x1 = x0-f/F1Program:#include #include int main (){Double x0,x1,f,f1;x1 = 1.5;Do{x0 = x1;f = 2*x0*x0*x0-4 * x0*x0 + 3 * x0-6;F1
Convert it to c * x = B-a mod (2 ^ k), and solve the minimum positive integer of the modulus linear equation.
Sample Input3 3 2 163 7 2 167 3 2 163 4 2 160 0 0 0
Sample Output0232766FOREVER
Equation solving: ax = B (mod n); [ax % n = B % n]Set one solution of the linear modulus equation to x0.Condition ①: d = gcd (a, n)Condition ②: with d = ax1 + ny, the x1 value
Matrix equation:We have previously introduced the linear combination of vectors, the form of X1a1+x2a2+xnan, that we can use to express them with [] formulas. (This expression is sought for convenience and unity of computation), and we give the following definition to give another form of the linear combination of vectors.It can be seen that the right side of the equation, the form of a vector combination, we use the algebraic nature of the vector to
It's really a rowing thing to learn maths.Bsgs name sounds very interesting, force Ba Shan Xi Qi, northward wide deep, small step ... Algorithm is actually more interesting, it is used to solve an equation\ (a^x≡b mod p\)is not particularly familiar, there are several long-acting special like, first observe:One: Fast power: The value of \ (a^b mod p\)Two: multiplication inverse \ (a*x≡1 (mod P) \)or \ (a*x≡b (mod P) \)Three: Euler's theorem (A^{φ (P)}
the a≡b (mod n) is called A and b about modulo n congruence, and the necessary and sufficient condition is that a-a is an integer multiple of n, that is, A-B=ZN (where z takes an integer).while the modular linear equations ax≡b (mod n) can be written as AX-B=ZN (where z takes an integer), the moving term can beAx-zn=b, also known as the form of a two-yuan Ax+by=c equation, using the extended Euclidean algorithm (EXTGCD) can solve the
Can You solve this equation? Time limit:2000/1000 MS (java/others) Memory limit:32768/32768 K (java/others)Total submission (s): 8292 Accepted Submission (s): 3830Problem Description Now,given the equation 8*x^4 + 7*x^3 + 2*x^2 + 3*x + 6 = = Y,can you find its solution between 0 and 10 0;Now try your lucky.Input the first line of the input contains an integer T (1Should just output one real number (accurate
P1149 Match Stick equation
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Submit a discussion of the problem recordTitle DescriptionGive you n a match stick, you can spell how many shape like "a+b=c" equation? A, B, and C in the
Title Description Description Tangible such as: ax3+bx2+cx+d=0 such a one-dimensional three-time equation. The coefficients of each of the equations (A,b,c,d are real) are given, and the equation has three different real roots (the range of the roots between 100 to 100), and the absolute value of the difference between root and root is >=1. It is required to output these three real roots (spaces between roo
1200 congruence equation2012 Noip National League Improvement Grouptime limit: 1 sspace limit: 128000 KBtitle level: Diamonds DiamondTitle Description Description The minimum positive integer solution for ax≡1 (mod b) of the x congruence equation is obtained.Enter a description Input Description Enter only one row, containing two positive integers a, b, separated by a space.Output description Output Description The output has only one row containing a
title: How many X are satisfied in a positive integer less than or equal to N: x mod a[0] = b[0], x mod a[1] = b[1], x mod a[2] = b[2], ..., x mod a[i] = b[i], ... (0 Solution: the same as the first question with the expansion of Euclidean Germany to find the last equation of the same residual equation x=ax+b, and then adjust X to obtain the number of X solution. For some explanations, see the code below.No
MathType is widely used in mathematics, and it is applied to edit mathematical formulae, MathType can not only be used to edit mathematical formulas, but also to edit chemical reactions, so how does the Mathtype -edit chemistry equation work?Here's how:1. Open the MathType and edit the reaction substances in the desired chemical reaction in the MathType edit window.Editing reaction substances in chemical reactions2. Select the template input that rep
Finding the root x^3-5x^2+16x-80=0 of a three-order equation by using the chord-truncation method#include #include float f (float x)//define sub-function f (x) = X^3-5x^2+16x-80, when f (x) →0, then x is the real number root of the request;{Float y;Y= ((x-5.0) *x+16.0) *x-80.0;return (y); Returns the value of f (x)}Float Xpoint (float x1,float x2)//define sub-function Xpoint to find the x0 value of the intersection of the chord and the x-axis;{float x
Strange fuctionTime limit:2000/1000 MS (java/others) Memory limit:32768/32768 K (java/others)Total submission (s): 4599 Accepted Submission (s): 3304Problem Descriptionnow, here is a fuction:F (x) = 6 * X^7+8*X^6+7*X^3+5*X^2-Y*X (0 Can you find the minimum value when x is between 0 and 100.Inputthe first line of the input contains an integer T (1Outputjust the minimum value (accurate up to 4 decimal places) while X is between 0 and 100.Sample Input2100200Sample output-74.4291-178.8534: First the
Version 1:
Equation A1 * X1 + A2 * X2 +... an * xn = N, given n (1000 => N> = 1) coefficients AI (1000> = AI> = 0) and N (1000> = n> 0 ), calculate the non-negative integer solution (x1, x2... XN. (Result Modulo for 10007)
Implementation 1:
Constructor, (1 + x ^ 1 + x ^ 2 + .. x ^ (N/A1) ^ A1 * (1 + x ^ 1 + x ^ 2 + .. x ^ (N/A2) ^ a2... (1 + x ^ 1 + .. x ^ (N/AN) ^
^ AI indicates multiplying the item index retrieved from the first item by AI;
After t
A middle school student asked me how to find the root of the quadratic equation of one yuan over the past few days. I was so stupid that I didn't know where to start. At that time, I remember that I could never remember the formula, during the examination, it took a lot of time to calculate the formula. The formula calculated from the results is often less than the plus or minus sign. Calculate the formula again this time,
As a result, the student sai
Can you solve this equation?
Time Limit: 2000/1000 MS (Java/others) memory limit: 32768/32768 K (Java/Others)Total submission (s): 322 accepted submission (s): 148
Problem descriptionNow, given the equation 8 * x ^ 4 + 7 * x ^ 3 + 2 * x ^ 2 + 3 * x + 6 = Y, can you find its solution between 0 and 100;Now please try your lucky.
InputThe first line of the input contains an integer T (1
OutputFor each test c
HDU 5185 Equation (linear dp full backpack), hdu5185
Equation
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/65536 K (Java/Others)
Total Submission (s): 64 Accepted Submission (s): 20
Problem DescriptionGorwin is very interested in equations. Nowadays she gets an equation like this
X1 + x2 + x3 + records + xn = n
, And here
0 ≤ xi ≤ nfor1 ≤ I ≤
1. There is a soft uniform thin line, in the damping medium for small transverse vibration, the unit length chord resistance $F =-ru_t$. The vibration equation is deduced.Answer: $$\bex \rho u_{tt}=tu_{xx}-ru_t. \eex$$2. The three-dimensional heat conduction equation has the spherical symmetry form $u (x,y,z,t) =u (r,t) $ ($r =\sqrt{x^2+y^2+z^2}$) solution, trial: $$\bex U_t=a^2\sex{u_{rr}+\frac{2u_r}{r}}.
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