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- [Unbalanced Rod] Given a set of n weights {w₁,..., wn} and a rod of length n - 1 inches, we can attach the weights to the rod at hooks placed at one inch distances apart as shown in the figure below. -1". /10 2 3 12 2 4 We can attach a weight to any hook but no two weights can be attached to the same hook and we have to attach all the weights. For any given assignment of weights to hooks, we can compute the location of the center of mass of the rod and the weights according to the following equation (neglecting the weights of the rod and the hooks). where 0 ≤ Pi≤n-1 is the position of weight along the rod. For example, in the figure shown above, the center of mass is computed as C= C = i Wi Pi Σi Wi 10 0+2 1+3·2+4·3+12.4 +2.5 10+2+3+4+12+2 78 33 The problem is to find an assignment of weights to hooks that makes the center of mass as far as possible to the left, i.e., minimize the value of c. Answer the following questions. 1. Describe a greedy algorithm that finds the assignments that…computer science | c++ code | it's not graded. Correct answer will upvoted else downvoted. It is given a non-negative integer x, the decimal portrayal of which contains n digits. You need to shading every its digit in red or dark, so the number shaped by the red digits is separable by A, and the number framed by the dark digits is detachable by B. No less than one digit should be shaded in every one of two tones. Consider, the include of digits hued in red is r and the include of digits hued in dark is b. Among all potential colorings of the given number x, you need to output any to such an extent that the worth of |r−b| is the base conceivable. Note that the number x and the numbers shaped by digits of each tone, may contain driving zeros. Input :The principal line contains one integer t (1≤t≤10) — the number of experiments. Then, at that point, t experiments follow. Each experiment comprises of two lines. The main line contains three integers n, A, B (2≤n≤40, 1≤A,B≤40).…[Fish Tank] You play with a clown fish that has an initial size so. The fish can eat other fish in a tank organized in m columns and n rows. The fish at column i and row j has a positive size si,j. When your fish eats another fish, it grows by that amount. For example, if your clown fish has a size of 10 and eats a fish of size 5, it becomes of size 15. You cannot eat a fish that is bigger than your size. The game starts by eating any fish in the first (left-most) column that is not bigger than yours. After that, you advance one column at a time by moving right. You have only three allowed moves. You either stay at the same row, move one row higher or one row lower. You will always move to the right. Thus, you will make exactly m moves to advance from left to right. Your goal is to exit the fish tank from the right with the biggest possible size. The figure below shows an example with the best answer highlighted. In this case, the final fish size is 71 (10+8+7+24+22). You are required…
- The following functions/statements are useful to solve the probler: • The pow function from the library: e.g. pow(x.y) gives the value of x • The rand( ) function from the library: rand( ) gives a random integer between 0 and RAND_MAX, where RAND_MAX is a predefined constant integer in C++. When you use rand( ) make sure to include the empty braces (you will understand what they mean later when you learn about C++ functions). The srand(time(0)); statement at the beginning of main which requires adding the library. This statement is needed if you want the program to give different random values for different runs. The use of srand(time(0)) is optional; i.e. no grades will be deducted if you do not include it.a)Write a Java code which gives the value of (14(1/n)Pn for n= 2,4, You can use the function Math.pow(xy) ,214. b) BuggySum(a, a.length-1) has to calculate the sum of numbers on matrix but does not. Find the problem and show how to fix it. public static double BuggySum(doublel] a, int k) ( if (k == 0) return 0.0; else return a[k] + BuggySum(a, k-1); Please write the complete code.Modify the below program that the input values representingfractions are stored with denominators that are positive integers. You cannot require the user to only enter a positive denominator value; the user should not be inconvenienced by such a restriction. For example, whilst values of 1 / -2 are acceptable inputs for a fraction, the output representation should be -1 / 2. Your solution should check the denominator input; if it is negative, swap the sign of both numerator and denominator instance variables. //Import the essential package import java.util.ArrayList; import java.util.Scanner; //Define the class Fraction class Fraction { private int n, d; public Fraction() { //Initialize the values this.n = this.d = 0; } public Fraction(int n, int d) { //Initialize the variables this.n = n; this.d = d; } //Define the getter function getNum() that returns the numerator public int getNum() {…
- Recall our discussion in class about vacuous truth. (“All of the pages in my hand are green.") Of the following statements, which one(s) is/are vacuously true? [Important note: The question is not asking you to find all of the true statements, but to identify only the ones that are vacuously true.] (a) For all integers n, if n 16, then n 2 4 (d) For all integers n, if 5n > n, then n 20 (e) For all positive integers m, if m < 5, then m² < 25 (f) For all positive integers m, if m < 1, then m2 <1Answer in C++ only Chef loves lucky numbers. Everyone knows that lucky numbers are positive integers whose decimal representation contains only the lucky digits 4 and 7. For example, the numbers 47,744, 4 are lucky and 5, 17,467 are not. Let F(x) equal the number of digits d in the decimal representation of the positive integer x. Chef is only interested in F4(x) and F7(x) functions. For a given positive integer N, he wants to know the total number of distinct pairs (L; R) such that F4(L) + F4(L + 1) + ... + F4(R) equals F7(L) + F7(L + 1) + + F7(R) and 1In python, Problem Description:Sheldon and Leonard are physicists who are fixated on the BIG BANG theory. In order to exchange secret insights they have devised a code that encodes UPPERCASE words by shifting their letters forward. Shifting a letter by S positions means to go forward S letters in the alphabet. For example, shifting B by S = 3 positions gives E. However, sometimes this makes us go past Z, the last letter of the alphabet. Whenever this happens we wrap around, treating A as the letter that follows Z. For example, shifting Z by S = 2 positions gives B. Sheldon and Leonard’s code depends on a parameter K and also varies depending on the position of each letter in the word. For the letter at position P, they use the shift value of S = 3P + K. For example, here is how ZOOM is encoded when K = 3. The first letter Z has a shift valueof S = 3 × 1 + 3 = 6; it wraps around and becomes the letter F. The second letter, O, hasS = 3 × 2 + 3 = 9 and becomes X. The last two letters…I need some help with a C++ arrays task. Provide the working code and make explanations using // . The initial code is provided in the photograph. The park is illuminated by n (1 <n <100) lights. Each of them shines all night or not. Of course, which lights were on the first night and which were not. Every other night the condition of the lamps shall be determined by the following rules: * The lamp will not illuminate if both of its neighbors were lit last night; * The lamp shall illuminate if one of its neighbors was illuminated last night and the other was not; ** if neither of the first two rules applies to the lamp, it will illuminate when the night is even and will not illuminate when the night is odd. Make a program to determine which lights are on and which will not be lit when k (1 <k <100) nights have elapsed, and to find which night the most lights were lit and which the least. If there are several identical nights with the most or least lights lit, the night…Write a Jupyter code for the following.python this is connected to the last problem - the second part of the question is added. my attempt on this problem shows that the part b) (approaches N*NH) is not really wokring.. a) (answered) with a function “harmonic(n)” that computes the n-th harmonic number, write a function “harmonic_all(n)” that returns the number of values generated until all values are obtained as a function of the range of possible values n, then write a function “harmonic_sim(n)” that repeats “harmonic_all(n)” a total of n_sim = 100 times. (Attaching the code from the answer for a) d) Show that as n increases (e.g., with a doubling experiment), from n = 2 to n_max = 1,000, the value of “coupon_sim(n)” approaches “n * Hn”.SEE MORE QUESTIONS