Write a program that simulates rolling two twenty-sided dice 100000 times, counting now many times the sum of the two dice is 2. Based on these results as well as the results of the program (snakeeyes.py) shown in class, make a guess as to how often one can expect to roll snake-eyes (two Is) on a pair of dice labeled I through n, for any positive integer n. S
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- Need help in python. 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 codeImport stdioImport randomImport sysn = int(sys.argv[1])//write code herestdio.write('The walker took ')stdio.write(c)stdio.writeln(' steps')*Using Python The scientist has 500 cages in which to hold her rabbits. Each cage holds one pair of rabbits. Assuming that no rabbits ever die, when will she run out of cages? Your program must do the following: Print a table that contains the following information for each month. The number of months that have passed. The number adult rabbit pairs (those over 1 month old). The number of baby rabbits pairs produced this month. The total number of rabbit pairs in the lab. Calculate how many months it will take until the number of rabbits exceeds the number of available cages. Stop printing when you run out of cages. Print a message giving how many months it will take to run out of cages Output file should look like the following. Comments in the file begin with '#', and must appear as shown too: Code must contain def main(): #main function need in all programs for automated testing """ Program starts here """ #end of main program if __name__ == '__main__': main() #excucte main…Problem 2: Postman Harry Harry is a postman. He's got a post office with a size of n rows and m columns. Each slot at the post office contains a number of letters. Harry can only go right and down. He starts at (0, 0), and ends at (n-1, m-1). Write a program that calculates the maximum amount of letters Harry can pick up. He can only pick up letters from a slot if he is on that slot. If the amount of letters is the same down and right, go right. Sample input/output: Enter the number of rows and columns: 35 Enter the number of letters in the 5 slots of row number 1: 5 2 60 1 Enter the number of letters in the 5 slots of row number 2: 2 4 3 9 2 Enter the number of letters in the 5 slots of row number 3: 8 72 3 4 The maximum number of letters Harry can pick is 32 solve using c++; (chapter 9: Variables / Assignments)
- PYTHON QUESTION : The Syracuse sequence of an integer N is the sequence of integers starting with the term N, where each following term is half of the preceding term if it is even, and one plus three times the preceding term if it is odd. The sequence ends when it reaches the integer 1. The maximum of the Syracuse sequence of an integer N is the highest number reached by this sequence. This maximum can sometimes be very high compared to the starting integer N. What is the maximum of the Syracuse sequence of 3428767? To answer this question it is useful to modify the code given in demonstration which calculates the Syracuse sequence. The code given in the demo : n = 27 print(n) while n != 1: if n%2 == 0: n = n // 2 # where n //= 2 or n >>= 1 else: n = 1 + 3*n print(n)Implement programs involving the use of while, do..while and for loop statement. Objectives: Topics Covered: Implementing programs using loops. Description FRIDAY THE 13TH When will Friday the 13th occur in 1990? Write a program that will find all months in 1990 in which the 13th falls on a Friday. You need to know the following. 1. January 1, 1990 was on a Monday. 2. September, April, June, and November have thirty days, all the rest have 31 except for February which has 28 except in leap years when it has 29. 3. 1990 is not a leap year. Note: To make it fair for everyone, you may not use any built-in date functions from your computer language. Sample Output if Applicable Sample Run In 1990, Friday the 13th occurs in the months: APRIL[Python Language] Using loops of any kind, lists, or Sets is not allowed. Sloan’s Book Collection Sloan loves reading books. She recently started reading an AI generated series called “Harry Trotter”. Sloan is collecting books from the series at her nearest bookstore. Since the series is AI generated, the publishers have produced an infinite collection of the books where each book is identified by a unique integer. The bookstore has exactly one copy of each book. Sloan wants to buy the books in the range [l,r], where l ≤ r. As an example, the range [−3,3] means that Sloan wants to buy the books − 3, − 2, − 1, 0, 1, 2, and 3. Pam also loves the series (or maybe annoying Sloan– who knows, really), and he manages to sneak into the bookstore very early to buy all of the books in the range [d,u], where d ≤ u. When Sloan later visits, sadly she will not find those books there anymore. For example, if Sloan tries to buy books [−2,3] and Pam has bought books [0,2], Sloan would only receive…
- Question 3 Write a program that finds the equivalent series and parallel resistance for a collection of resistor values. Your program should first read in the number of resistors and then compute the equivalent series resistance for all resistors in the collection and the equivalent parallel resistance. For example, if there are 3 resistors of 100, 200, and 300 Ohms, respectively, their equivalent series resistance is 100+200+300 and their equivalent parallel resistance is 1(1/100+1/200+1/300). Your program should read each resistance value (R), add R to the series sum (RS) and add 1/R to the parallel sum (RP). After loop exit, display RS and 1/RP.[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…C++ Programming Lab 1: Harry Potter dreams himself in a witchy magic shop, it contains an infinite amount of Golden Snitch. He is allowed to select n Golden Snitch. There are Golden Snitch of k different sizes. From each size there are also infinitely many Golden Snitch. Harry Potter wants to have at least one snitch of each size, but still there are a lot of possibilities for his selection. In his effort to make a decision he wakes up. Now he asks your help to develop a C++ program to find out how many possibilities for his selection he would have had. Assume that Golden Snitch of equal size can't be distinguished, and the order of the Golden Snitch is irrelevant. No. Test Case Result 1 30 7 475020
- Coupon Collector is a classic statistics problem with many practical applications. The problem is to pick objects from a set of objects repeatedly and find out how many picks are needed for all the objects to be picked at least once. A variation of the problem is to pick cards from a shuffled deck of 52 cards repeatedly and find out how many picks are needed before you see one of each suit. Assume a picked card is placed back in the deck before picking another. Write a program to simulate the number of picks needed to get four cards, one from each suit and display the four cards picked (it is possible a card may be picked twice).Code in python: A certain company has encoded the accounts of its customers and requires that you provide an algorithm that, given an account code, informs if it is valid according to the following description: The account codes are made up of 4 digits counted from right to left, plus the verification digit. The verifying digit is obtained by adding the digits of the account number of the even positions and multiplying the digits of the odd positions, from the new result the residue of the division is extracted for 10, which represents the verifying digit. Develop the code in python as a check digit class that returns 1 if it is correct or 0 if not Heading: Extract digits, verifier calculation, Account verification, Integral algorithm(Numerical) Write a program that tests the effectiveness of the rand() library function. Start by initializing 10 counters to 0, and then generate a large number of pseudorandom integers between 0 and 9. Each time a 0 occurs, increment the variable you have designated as the zero counter; when a 1 occurs, increment the counter variable that’s keeping count of the 1s that occur; and so on. Finally, display the number of 0s, 1s, 2s, and so on that occurred and the percentage of the time they occurred.