2. There is a defined function called multiplierSum(n) which returns the sum of all multipliers of a positive number n. For example, if n=8, it will return 1+2+4+8=15. If this sum except for the number itself is equal to the number itself, this number is called ideal number. Write another function called maxMult(m) which should find the smallest ideal number that is bigger than or equal to m, using the function multiplierSum.
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- A natural number is prime if it is greater than 1 and has no divisors other than 1 and itself.Example: 8 isn't a prime number, as you can divide it by 2 and 4 (we can't use divisors equal to 1 and 8 as the definition prohibits this). On the other hand, 7 is a prime number as we can't find any legal divisors for it.Your task is to write a function checking whether a number is prime or not.The function:•is called IsPrime()•takes one argument (the value to check)•returns True if the argument is a prime number, and False otherwise.Hint: try to divide the argument by all subsequent values (starting from 2) and check the remainder - if it's zero, your number cannot be a prime; think carefully about when you should stop the process.If you need to know the square root of any value you can utilize the ** operator. Remember: the square root of x is the same as x**0.5Python programming question Write a code that calculates all the prime numbers between 1 and 20. (Hint: Use a loop and call the…A natural number is prime if it is greater than 1 and has no divisors other than 1 and itself. Example: 8 isn't a prime number, as you can divide it by 2 and 4 (we can't use divisors equal to 1 and 8 as the definition prohibits this). On the other hand, 7 is a prime number as we can't find any legal divisors for it. Your task is to write a function checking whether a number is prime or not. Please us phython language The function: is called IsPrime() takes one argument (the value to check) returns True if the argument is a prime number, and False otherwise. Hint: try to divide the argument by all subsequent values (starting from 2) and check the remainder - if it's zero, your number cannot be a prime; think carefully about when you should stop the process. If you need to know the square root of any value you can utilize the ** operator. Remember: the square root of x is the same as x**0.5 Write a code that calculates all the prime numbers between 1 and 20. (Hint: Use a loop and…Please answer it in Python Write a function double_consonnant that takes as an argument a word and has two return values: a Boolean worth True if the word contains a double consonant (twice the same consonant in a row), and in this case the second return value is the consonant that is doubled; if there is no doubled consonant, the function must return False and None. If the word contains several double consonants (for example, 'successor'), true will be returned and the first double consonant appearing in the word. Examples: double_consonne('arrivee') is true, 'r'. double_consonne (‘bonbon’) is false, None double_consonne('appelle') is True, 'p'
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- Write a DECIMATOR function that takes a unit of character and minimizes it (i.e. removes the last 1/10 of characters). Always zoom in: if a bullet unit has 21 characters, 1/10 of the characters will be 2.1 characters, so DECIMATOR removes 3 characters. DECIMATOR is not kind! Examples decimator ("1234567890") 12 "123456789" # 10 characters, taken out 1. decimator ("1234567890AB") # 12 characters, 2 are released. "1234567890" decimator ("123") "12" # 3 characters, taken out 1. decimator ("123456789012345678901") # 21 characters, issued 3. Solve in Ruby "123456789012345678"thello is a board game and you are expected to implement the move function for this game. Arguments passed to the function are - a symbol of the player making the move and x y coordinates of the cell at which the player wishes to make the move. The move function will be returning a boolean, false - if the move isn't feasible and true - if the move is feasible and this function will also make the move then i.e. make the required changes in the board. Input Format: Line 1: Integer n (Total number of moves) Line 2: Player 1 coordinates, x and y (Two integers separated by space) Line 3: Player 2 coordinates, x and y (Two integers separated by space) Note 1: Number of moves (i.e. n) is always even and Player 1 always starts the game. Note 2: If any player's coordinates are not valid, enter again till the right move. Main function is given for you reference. Sample Input: 2 24 15 25 Sample Output: 00000000 00000000 00001000 00011000 00021000 00000000 00000000 00000000 false 00000000 00000000…We can transform multiple-argument functions into a chain of single-argument, higher order functions by taking advantage of lambda expressions. This is useful when dealing with functions that take only single-argument functions. We will see some examples of these later on. Write a function lambda_curry2 that will curry any two argument function fn using lambdas. See the doctest if you're not sure what this means. def lambda_curry2(fn): Returns a Curried version of a two argument function func. >>> from operator import add >>> x = lambda_curry2(add) >>> y = x(3) >>> y (5) 8 |||||| 11 *** YOUR CODE HERE ***
- F(?,?,?)=?′?′?+?′??+??′?′+??′?can you simplify this and draw the diagram of the simplified functionThere is a large pile of socks that must be paired by color. Given an array of integers representing the color of each sock, determine how many pairs of socks with matching colors there are. Example There is one pair of color and one of color . There are three odd socks left, one of each color. The number of pairs is . Function Description Complete the sockMerchant function in the editor below. sockMerchant has the following parameter(s): int n: the number of socks in the pile int ar[n]: the colors of each sock Returns int: the number of pairs Input Format The first line contains an integer , the number of socks represented in .The second line contains space-separated integers, , the colors of the socks in the pile. Constraints where Sample Input STDIN Function ----- -------- 9 n = 9 10 20 20 10 10 30 50 10 20 ar = [10, 20, 20, 10, 10, 30, 50, 10, 20] Sample Output 3 Explanation There are three pairs of socks.Implement a function named root_sum which receive an integer and return the result of summing all the scare roots from 1 to the number passed in. For example, if the argument is 4, then the function returns 6.15 because √4 + √3 + √2 + √1 = 6.15. It doesn't need to print (√4 + √3 + √2 + √1 = 6.15), in fact the function shouldn't print anything, just return the final value, in this case 6.15. You may assume that #include <cmath> has already been included and you have access to the sqrt() function, which takes a single double or any value that can be converted to a double and returns that value's square root as a double. No error checking is necessary. Assume the user always passed in a value > 1. In c++ program