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- Python only Rajesh loves lucky numbers. Everyone knows that lucky numbers are positive integers whose decimal representation contains only the lucky digits 4 and 7. For example, the numbers 47,744, 4 are lucky and 5, 17,467 are not. Let Fa(x) equal the number of digits d in the decimal representation of the positive integer x. Chef is only interested in F4(x) and F7(x) functions. For a given positive integer N, he wants to know the total number of distinct pairs (L; R) such that F4(L) + F4(L + 1) + ... + F4(R) equals F7(L) + F7(L + 1) + ... + F7(R) and 1Write a function that receives the left, bottom, right and top coordinates oftwo rectangles, and then computes the perimeter of their intersection. The function returns 0 if there is no intersection between the two rectangles. The rectangles are given as follows:intersection(l1,b1,r1,t1,l2,b2,r2,t2)where,l1 -> left of rectangle 1b1 -> bottom of rectangle 1r1 -> right of rectangle 1t1 -> top of rectangle 1l2 -> left of rectangle 2b2 -> bottom of rectangle 2r2 -> right of rectangle 2t2 -> top of rectangle 2Code in Python Write a function, print_integers_less_than(n), which takes an integer parameter n and prints each integer k which is at least 0 and is less than n, in ascending order. Hint: use a simple for loop. For example: Test Result print_integers_less_than(2) 0 1 print_integers_less_than(5) 0 1 2 3 4 print_integers_less_than(-3)Write a function that takes a positive integer num and calculates how many dots exist in a pentagonal shape around the center dot on the Nth iteration. In the image below you can see the first iteration is only a single dot. On the second, there are 6 dots. On the third, there are 16 dots, and on the fourth there are 31 dots. Return the number of dots that exist in the whole pentagon on the Nth iteration. Examples pentagonal (1) → 1 pentagonal (2) <-6 pentagonal (3) - 16 pentagonal (8) → 141Create a function that takes two integers, num and n, and returns an integer which is divisible by n and is the closest to num. If there are two numbers equidistant from num and divisible by n, select the larger one. Examples roundNumber (33, 25). - 25 roundNumber (46, 7)→ 49 roundNumber (133, 14) → 140Create a function that determines whether a number is Oddish or Evenish. A number is Oddish if the sum of all of its digits is odd, and a number is Evenish if the sum of all of its digits is even. If a number is Oddish, return "Oddish". Otherwise, return "Evenish" For example, oddishOr Evenish (121) should return "Evenish", since 1 + 2 + 1 = 4. oddishorEvenish (41) should return "Oddish", since 4 + 1 = 5. Examples oddishOr Evenish (43) → "Oddish" // 4 + 3 = 7 // 7 % 2 = 1 oddishorEvenish (373) // 3 + 7 + 3 = 13 // 13 % 2 = 1 → "Oddish" oddishOr Evenish (4433) → "Evenish" // 4 + 4 + 3 + 3 = 14 // 14 % 2 = 0A 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. in phython langauge Ques: 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…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…Write a function rightrot(x,n) that returns the value of the integer x rotatedto the right by n positions.Write a function that takes two integers and returns True if the integers have a common divisor that is different than 1, otherwise returns False. For example, notRelPrime(3,5) returns False, whereas notRelPrime(8,12) returnsTrue. Because, 3 and 5 have only one common divisor, which is 1, whereas 8 and 12 are both divisible by 1, 2 and 4.Write the function that takes three dimensions of a brick: height(a), width(b) and depth(c) and returns true if this brick can fit into a hole with the width (w) and height(h). Examples doesBrickFit(1, 1, 1, 1, 1) → true doesBrickFit(1, 2, 1, 1, 1) → true doesBrickFit(1, 2, 2, 1, 1) false Notes • You can turn the brick with any side towards the hole. • We assume that the brick fits if its sizes equal the ones of the hole (i.e. brick size should be less than or equal to the size of the hole, not strictly less). • You can't put a brick in at a non-orthogonal angle.SEE MORE QUESTIONS