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- PYTHON CODE: In order to beat AlphaZero, Grandmaster Hikaru is improving her chess calculation skills.Today, Hikaru took a big chessboard with N rows (numbered 1 through N) and N columns (numbered 1 through N). Let's denote the square in row r and column c of the chessboard by (r,c). Hikaru wants to place some rooks on the chessboard in such a way that the following conditions are satisfied:• Each square of the board contains at most one rook.• There are no four rooks forming a rectangle. Formally, there should not be any four valid integers r1, c1, r2, c2 (≠r2,c1≠c2) such that there are rooks on squares (r1,c1), (r1,c2 (r2,c1)and (r2,c2).• The number of rooks is at least 8N.Help Hikaru find a possible distribution of rooks. If there are multiple solutions, you may find any one. It is guaranteed that under the given constraints, a solution always exists.InputThe first line of the input contains a single integer T denoting the number of test cases. The first and only line of each test…Redo problem 2 triangle.cc where you have to defineand use the following functions:(a) isTriangle - takes 3 sides of a triangle and returns true if they form a triangle,false otherwise.(b) isIsosceles - takes 3 sides of a triangle and returns true if they form an isoscelestriangle, false otherwise.(c) isEquilateral - takes 3 sides of a triangle and returns true if they form anequilateral triangle, false otherwise.(d) isRight - takes 3 sides of a triangle and returns true if they form a right triangle,false otherwise. this is the question and this is my work for problem 2 // This program prompts a user to enter the lengths of// the 3 sides of a triangle, check if they form a triangle,// and prints the triangle type: right, isosceles, equilateral,// or scalene #include <iostream>#include <cmath> using namespace std; // Constant Declarationsconst double E = .0001; int main() { double side1, side2, side3; bool isTriangle, isRight, isEquilateral, isIsosceles; cout <<…6.use c code to Develop a code that gets two integers from the user and calculates and prints their least common multiplier or LCM. LCM is the smallest number that divides both given integers. Example. lcm (10, 15) = 30, lcm (5,7) = 35 and lcm (12, 24) = 24Hint: we know that lcm(x,y) = xy/gcd(x,y) where gcd is the greatest common divisor (discussed in class). Develop a gcd function in your code, get the two numbers from the user, call your function to calculate their gcd and then use the formula above to calculate and display their lcm GOOD LUCK! Reference This is a list of function prototypes of the C library functions presented in class. You may use any of these functions in your solutions (unless the requirements explicitly indicate otherwise). As you have been provided the function prototypes, you are expected to use the functions correctly in your solutions. double atof(char *string); int atoi(char *string); long atol(char *string); int fclose(FILE *filePointer); char *fgets(char…
- Hi, OCaml programming 1. Create a type slidingTile, consisting of a char matrix and two integers xand y. The integers x and y are the coordinates of an empty tile. 2. Create a function val slide : slidingTile -> int -> int -> slidingTile = <fun> that given a slidingTile and two integers, that represent a location in thematrix, it slides the tile from the specified location to the empty tile, thenreturns the altered slidingTile. If provided location is not adjacent to theempty tile, or out of bounds, then return the slidingTile unaltered. 3. Create a function val print_tile : slidingTile -> unit = <fun> that prints a slidingTile on screen with the corresponding characters fromthe matrix. However, print an empty space where the empty tile is instead.Redo problem 2 where you have to define and use the following functions: (a) isTriangle - takes 3 sides of a triangle and returns true if they form a triangle, false otherwise. (b) isIsosceles - takes 3 sides of a triangle and returns true if they form an isosceles triangle, false otherwise. (c) isEquilateral - takes 3 sides of a triangle and returns true if they form anequilateral triangle, false otherwise. (d) isRight - takes 3 sides of a triangle and returns true if they form a right triangle, false otherwise. (e) your program should run continuous until the user wants to quit this is my problem 2: #include <iostream> #include <cmath> using namespace std; // Constant Declarations const double E = .0001; int main() { double side1, side2, side3; bool isTriangle, isRight, isEquilateral, isIsosceles; cout << "Enter the lengths of the 3 sides of a triangle -- "; cin >> side1 >> side2 >> side3; isTriangle = side1 + side2 > side3 &&side1 +…7. Let P denote the set of all phones in the world such that p ∈ P is a phone. Thus, S(p)denotes that “p is a SamsungTM phone”, N(p) denote that “p is a NokiaTM phone”, and G(p)denote that “p is a GoogleTM phone”. Therefore, express each of the following statements usingquantifiers, logical operations, and the propositional functions: S(p),N(p),G(p).(a) There is a GoogleTM phone that is also a SamsungTM phone.(b) Every NokiaTM phone is a GoogleTM phone.(c) No NokiaTM phone is a GoogleTM phone.(d) Some NokiaTM phones are also SamsungTM phones.(e) Some NokiaTM phones are also GoogleTM phones and some are not. PS: Please do not answer them in a paper format.
- 6.Code for an array of meeting time intervals consisting ofstart and end times [[s1,e1],[s2,e2],...] (si < ei),determine if a person could attend all meetings. For example,Given [[0, 30],[5, 10],[15, 20]],return false.""".#17a Simple Statistics (not in textbook) Generate a STL array or vector of 1000 floating point numbers in the range 0 to 1. Compute the mean, median, and standard deviation of these. You may use function objects and lambda expressions, and the STL algorithms for_each, accumulate, and sort. You may not use any of the built-in looping constructs while, do-while or for. Also you may not create and use any ordinary c++ functions. Hint: The following code can be used to populate your random array named arr auto arr_store = [](float& v) { v = rand()/float(RAND_MAX); }; for_each(arr.begin(),arr.end(),arr_store); Warning, You may need to know some details about lambda expressions that are not covered in the textbook. These will be covered in the weekly lecture and in a sample program in Sakai resources. Note: The theoretical value of the standard deviation for large N is sqrt(1.0/12) which about 0.289. You should be getting a value fairly close to this.10.25 LAB: Quadratic formula Implement the quadratic_formula() function. The function takes 3 arguments, a, b, and c, and computes the two results of the quadratic formula: x1=−b+b2−4ac2a x2=−b−b2−4ac2a The quadratic_formula() function returns the tuple (x1, x2). Ex: When a = 1, b = -5, and c = 6, quadratic_formula() returns (3, 2). Code provided in main.py reads a single input line containing values for a, b, and c, separated by spaces. Each input is converted to a float and passed to the quadratic_formula() function. Ex: If the input is: 2 -3 -77 the output is: Solutions to 2x^2 + -3x + -77 = 0 x1 = 7 x2 = -5.50
- Develop a function that accepts an array and returns true if the array contains any duplicate values or false if none of the values are repeated. Develop a function that returns true if the elements are in decreasing order and false otherwise. A “peak” is a value in an array that is preceded and followed by a strictly lower value. For example, in the array {2, 12, 9, 8, 5, 7, 3, 9} the values 12 and 7 are peaks. Develop a function that returns the number of peaks in an array of integers. Note that the first element does not have a preceding element and the last element is not followed by anything, so neither the first nor last elements can be peaks(Fibonacci) The Fibonacci series0, 1, 1, 2, 3, 5, 8, 13, 21, …begins with the terms 0 and 1 and has the property that each succeeding term is the sum of the twopreceding terms. a) Write a nonrecursive function fibonacci(n) that calculates the nth Fibonaccinumber. Use unsigned int for the function’s parameter and unsigned long long int for its returntype. b) Determine the largest Fibonacci number that can be printed on your system.Problem You have a fence post located at the point (x,y) where a goat is tethered by a rope. You also have a house, which is a rectangle with diagonally opposite corners at the points bottom-left: (x1,y1) and top-right: (x2,y2). You want to pick a length of rope that guarantees the goat cannot reach the house. Determine the minimum distance from the fence post to the house, so that you can make sure to use a shorter rope. Recall that the distance formula is: (x2−x1)2+(y2−y1)2 The input consists of a single line containing six space-separated integer values: x, y, x1, y1, x2, and y2. You are guaranteed that x1<x2 and y1<y2, and that (x,y) is strictly outside the axis-aligned rectangle with corners at (x1,y1) and (x2,y2). Return the minimum distance from the goat’s post to the house as a floating-point value from main(). Learning Objectives Be able to create a program with a lesser template. Be able to calculate the min/max of integers. Be able to write a mathematical…