17: recursion.cpp) Write two recursive integer functions. The first function should calculate factorials using the definition 0! = 1 and n! = (n-1)! x n. In addition, if n is too large it should be able to detect integer overflow before it happens. The next function should calculate the greatest common factor (gcf) of two numbers. If the second number is zero, then the gcf is the other number. Otherwise, the gcf of a and b is the same as the gcf of b and a mod b.

(Q6) This is a Data Structures problem and the programming language used is Lisp. Solve the question we detailed steps and make it concise and easy to understand. Please and thank you. Can you please explain this question specifically what you are doing in each step because it is a very confusing topic. Thanks!

Please dont copy from chegg it is wrong, do your own work JAVA Project 18.20 (Maze Traversal Using Recursive Backtracking) The grid of #s and dots (.) in Fig. 18.23 is a two-dimensional array representation of a maze. The #s represent the walls of the maze, and the dots represent locations in the possible paths through the maze. A move can be made only to a location in the array that contains a dot. Write the recursive method (mazeTraversal) to walk through mazes like the one in Fig. 18.23. The method should receive as arguments a 12-by-12 character array representing the maze and the current location in the maze (the first time this method is called, the current location should be the entry point of the maze). As mazeTraversal attempts to locate the exit, it should place the character x in each square in the path. There's a simple algorithm for walking through a maze that guarantees finding the exit (assuming there's an exit). If there's no exit, you'll arrive at the starting location…

[] [] partite_sets In the cell below, you are to write a function "partite_sets (graph)" that takes in a BIPARTITE graph as its input, and then returns a single list whose two entries are the partite sets of the graph as lists (the order of the sets outputed does not matter). After compiling the above cell, you should be able to compile the following cell and obtain the desired outputs. print (partite_sets({"A" : ["B", "C"], "B" : partite_sets({"A" : ["B", "C"], "B" : ["A"], "C" : ["A"]}), ["A", "D"], "C" : ["A", "D"], "D" : ["B", "C"]})) This should return [["B","C"], ["A"]] [["A","D"], ["B","C"]] (the order in which the entries appear does not matter) Python Python

2 Problem Statement You are given a number n. There is an array of strings that contains all the binary strings of length n where each string represents the plantation system where '1' represents plant A and '0' repres According to research if any two plant A comes together then they will stop the growth of the neighbors also. Your task is to find the number of plantations in which growth will not be affected. Note-Since the answer can be too long, return the answer modulo 1e9+7. Constraints: 1 <= n <= 100000 B Rules E Finish Input Format The first line contains an integer n. Output Format Print k-the number of strings satisfying the condition. Sample Testcase #0 Testcase Input Light Theme Java Testcase Output ENG € 40 IN

*Computer Science (lambda calculus)* Reduce each of the lambda terms shown below and explain the technique used for reduction as well as the final result. 1) ((λx.(x y))(λz.z)) 2) (λg.((λf.((λx.(f (x x)))(λx.(f (x x))))) g)) 3) ((λx.(x x))(λx.(x x)))

Group B Q1) A vector is given by x = [-3.5-5 6.2 11 0 8.1-903-132.5]. Using conditional statements and loops, write a program that creates two vectors from x-one (call it P) that contains the positive elements of x, and a second (call it N) that contains the negative elements of x. In both P and N, the elements are in the same order as in x.

Details Use Turtle to draw trees and people. the program should have four functions.the first function accepts a turtle object and color and draw a tree in that color. the core of the tree is equilateral triangle.the second function accepts a turtle object and a color and draw a human in that color.the function uses the circle function to draw the head of the human.the third function accepts a turtle object and draw a circle.the last function which is the main function prompts the user for the number of tree human pairs he would like to draw and their colors. the program then uses the tree and human functions to draw the number of tree-human pairs. for each pair, a tree should be draw first followed by human. the ground should be drawn in green connecting all the trees and humans. out put

Question Info: The calculation "a" was used for loop to calculate the sum of squares of values in this list: 1, 7, 8, 6, 11 (The answer was 271) Question To Answer: (1) Create recursive function to do the same calculation a in the above. (The function input will be the list. Each recursion, you are going to send a sub-list with one less item from the list) I need help doing this in python programming language.