Problem: 2D random walk. A two dimensional random walk simulates the behavior of a particle moving in a grid of points. At each step, the random walker moves north, south, east, or west with probability 1/4, independently of previous moves. Compose a program that takes a command-line argument n and estimates how long it will take a random walker to hit the boundary of a 2n+1-by-2n+1 square centered at the starting point.

Given the following pseudocode: function fun(n) { var outer_count=0; var inner_count=0; var sum = 0; for (var i=0; i 0, as an expression of normal arithmetic and n, what is the value of outer_count that counts the number of times the outer loop executes? Enter an expression Fun.1.inner: Assuming n EN and n > 0, as an expression of normal arithmetic and n, what is the value of inner_count that counts the number of times the inner loop executes? Enter an expression

Help Me With C Programming. At Lili's birthday party, there is a game arranged by Jojo as the host. The game is handing out a number of Y candies to a number of X people where all the sweets taste sweet except for the last one candy that tastes like rotten beans. The distribution of sweets will be sequential starting from position Z and if it passes the last position then the distribution of candy continues to the first position. Write down the person in the position of who will get the last candy. Format Input The first line of input is T, which is the number of test cases. The second row and the next number of T lines are X, Y, Z. X is the number of people who will be handed out candy. Y is the number of candies available. Z is the initial position of the person who will be handed out the candy. Format Output A string of "Case #N: " and a number that is the position of the person who got the last candy   [Look at Image]   In the sample above, for example, which is inputted in the…

Part (a) Write a python function that computes the binomial coefficient ("). The function should return the correct answer for any positive integer n and k where k=m pass Part (c) Suppose that the number of people in the trial is 100. Then: • Plot a curve that shows how the probability of type 1 error changes with the choice of m, for m = 1,...n assuming that the null hypothesis holds (in red), • On the same picture, plot the probability of type 2 error vs the value of m in the case in which the new drug is effective with proability 0.68 (in blue). You can plot the two curves using matplotlib.pyplot. You can select the color by passing color='r' or color='b' to the plt.plot() function. [4]: n - 100 # your code here def plot_curve (): pass [5]: plot_curve() Part (d) Based on the picture above, what value of m do you think would be suitable to keep both type 1 and type 2 error small at the same time? (You may assume that the company claims the new drug has 68% accuracy) [6]: # your…

Description A mathmatician Goldbach's conjecture: any even number(larger than 2) can divide into two prime number’s sum.But some even numbers can divide into many pairs of two prime numbers’ sum. Example:10 =3+7, 10=5+5, 10 can divide into two pairs of two prime number. Input Input consist a positive even number n(4<=n<=32766).   Output Print the value of how many pairs are this even number can be divided into.   Sample Input 1  1234 Sample Output 1 25