Python please prime_test.py: def is_prime(num): #ADD CODE to return True if num is prime; False if not def main(): #ADD CODE to call is_prime() for integers 1-100 # and print the ones that are prime main()
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Python please
prime_test.py:
def is_prime(num):
#ADD CODE to return True if num is prime; False if not
def main():
#ADD CODE to call is_prime() for integers 1-100
# and print the ones that are prime
main()
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- Sevens rule, zeros drooldef seven_zero(n):Seven is considered a lucky number in Western cultures, whereas zero is what nobody wants to be. We now bring these two opposites briefly together with positive integers that consist of some solid sequence of sevens, followed by some (possibly empty) solid sequence of zeros. Examples of such integers are 7, 77777, 7700000, 77777700, or 700000000000000. A surprising theorem proves that for any positive integer n, there exist infinitely many integers of such seven-zero form that are divisible by n. This function should return the smallest such seven-zero integer. This exercise is about efficiently generating all numbers of the constrained form of sevens and zeros in strictly ascending order to guarantee finding the smallest working such number. This logic might be best written as a generator to yield such numbers. The body of this generator consists of two nested loops. The outer loop iterates through the number of digits d in the current number.…Leap Year: The earth doesn't take exactly 365 days to revolve around the sun and because of this we have leap years roughly every 4 years to make up the difference. The exact rule is: • Years divisible by 4 are leap years • except if they are also divisible by 100 and then they are not leap years (so 1900 was not a leap year), • unless they are also divisible by 400 and then they ARE leap years (so 2000 was a leap year). Part 1) Write a function in Python that takes as input a number, the year, and determines if it is a leap year or not. The function should return True if it is a leap year and False otherwise. Part 2) Write a main function to test out your leap year function on a few different illustrative inputs.Sevens rule, zeros drool def seven_zero(n): Seven is considered a lucky number in Western cultures, whereas zero is what nobody wants to be. Let us briefly bring these two opposites together by looking at positive integers that consist of some solid sequence of sevens, followed by some (possibly empty) solid sequence of zeros. Examples integers of this form are 7, 77777, 7700000, 77777700, and 70000000000000. A surprising theorem proves that for any positive integer n, there exist infinitely many integers of such seven- zero form that are divisible by n. This function should return the smallest such seven-zero integer. Even though discrete math and number theory help, this exercise is not about coming up with a clever symbolic formula and the proof of its correctness. This is rather about iterating through the numbers of this constrained form of sevens and zeros efficiently and correctly in strictly ascending order, so that the function can mechanistically find the smallest working…
- Computer Science Question Lab There is only one list of N ingredients in the menu. Every ingredient has its beauty value that does not depend on its taste, but on the way it looks, which is expressed as a positive integer. To order a dish, the customer asks Ramsay to use all the ingredients from L to R (L is strictly less than R). Ramsay knows that the dish will be tasty and not only beautiful if the sum of its ingredients' beauty values is divisible by K. Ramsay does not want to use all the ingredients, so he always excludes one of them. Which one? - The least beautiful one! (in other words - which has the minimal beauty value). Now he wonders - how many segments (L,R) are there such that the sum of their beauty values will be divisible by K after excluding the least beautiful ingredient. Your assignment is to develop a python code that prints the answer for the problem. Sample test case are given below:Input:3 51 2 3Output:1Treasure Hunter description You are in front of a cave that has treasures. The cave canrepresented in a grid which has rows numbered from 1to , and of the columns numbered from 1 to . For this problem, define (?, )is the tile that is in the -th row and -column.There is a character in each tile, which indicates the type of that tile.Tiles can be floors, walls, or treasures that are sequentially representedwith the characters '.' (period), '#' (hashmark), and '*' (asterisk). You can passfloor and treasure tiles, but can't get past wall tiles.Initially, you are in a tile (??, ). You want to visit all the treasure squares, andtake the treasure. If you visit the treasure chest, then treasurewill be instantly taken, then the tile turns into a floor.In a move, if you are in a tile (?, ), then you can move tosquares immediately above (? 1, ), right (?, + 1), bottom (? + 1, ), and left (?, 1) of thecurrent plot. The tile you visit must not be off the grid, and must not be awall patch.Determine…Count consecutive summers def count_consecutive_summers(n): Like a majestic wild horse waiting for someone to come and tame it, positive integers can be broken down as sums of consecutive positive integers in various ways. For example, the integer 42 often used as placeholder in this kind of discussions can be broken down into such a sum in four different ways: (a) 3 + 4 + 5 + 6 + 7 + 8 + 9, (b) 9 + 10 + 11 + 12, (c) 13 + 14 + 15 and (d) 42. As the last solution (d) shows, any positive integer can always be trivially expressed as a singleton sum that consists of that integer alone. Given a positive integer n, determine how many different ways it can be expressed as a sum of consecutive positive integers, and return that count. The count of how many different ways a positive integer n can be represented as a sum of consecutive integers is also called its politeness, and can be alternatively computed by counting how many odd divisors that number has. However, note that the linked…
- Cyclops numbersdef is_cyclops(n):A nonnegative integer is said to be a cyclops number if it consists of an odd number of digits so that the middle (more poetically, the “eye”) digit is a zero, and all other digits of that number are nonzero. This function should determine whether its parameter integer n is a cyclops number, and return either True or False accordingly n Expected result 0 True 101 True 98053 True 777888999 False 1056 False 675409820 FalseDuplicate digit bonus def duplicate_digit_bonus(n): Some people ascribe deep significance to numerical coincidences, so that consecutive repeated digits or other low description length patterns, such as a digital clock blinking 11:11, seem special and personal to them. Such people then find numbers with repeated digits to be more valuable and important than all the ordinary and pedestrian numbers without any obvious pattern. For example, getting inside a taxicab flashing an exciting number such as 1234 or 6969 would be far more instagrammable than a more pedestrian taxicab adorned with some dull number such as 1729.Assume that some such person assign a meaningfulness score to every positive integer so that every maximal block of k consecutive digits with k>1 scores 10**(k-2) points for that block. A block of two digits scores one point, three digits score ten points, four digits score a hundred points, and so on. However, just to make this more interesting, there is also a special…Magic Number Code question::-1.A number is said to be a magic number,if summing the digits of the number and then recursively repeating this process for the given sumuntill the number becomes a single digit number equal to 1. Example: Number = 50113 => 5+0+1+1+3=10 => 1+0=1 [This is a Magic Number] Number = 1234 => 1+2+3+4=10 => 1+0=1 [This is a Magic Number] Number = 199 => 1+9+9=19 => 1+9=10 => 1+0=1 [This is a Magic Number] Number = 111 => 1+1+1=3 [This is NOT a Magic Number].
- Count consecutive summers def count_consecutive_summers(n): Like a majestic wild horse waiting for the rugged hero to tame it, positive integers can be broken down as sums of consecutive positive integers in various ways. For example, the integer 42 often used as placeholder in this kind of discussions can be broken down into such a sum in four different ways: (a) 3 + 4 + 5 + 6 + 7 + 8 + 9, (b) 9 + 10 + 11 + 12, (c) 13 + 14 + 15 and (d) 42. As the last solution (d) shows, any positive integer can always be trivially expressed as a singleton sum that consists of that integer alone. Given a positive integer n, determine how many different ways it can be expressed as a sum of consecutive positive integers, and return that count. The number of ways that a positive integer n can be represented as a sum of consecutive integers is called its politeness, and can also be computed by tallying up the number of odd divisors of that number. However, note that the linked Wikipedia de0inition…* Question Completion Status: A Moving to another question will save this response. Question 9 Given the function F(X,Y,Z) =XZ + Z(X'+ XY), the equivalent, most simplified Boolean representation for F is O a. Z+XYZ O b.XZ O c. Z O d.Z+YZ A Moving to another question will save this response. مشمس 36°CBulgarian solitaire def bulgarian_solitaire(piles, k): You are given a row of piles of pebbles, all identical, and a positive integer k so that the total number of pebbles in these piles equals k*(k+1)//2, the arithmetic sum formula that equals the sum of positive integers from 1 to k. Almost as if intended as a metaphor for the bleak daily life behind the Iron Curtain, all pebbles are identical and you don't have any choice in your moves. Each move picks up one pebble from each pile (even if doing so makes that pile vanish), and creates a new pile from the resulting handful. For example, starting with[7, 4, 2, 1, 1], the first move turns this into [6, 3, 1, 5]. The next move turns that into [5, 2, 4, 4], which then turns into the five-pile configuration [4, 1, 3, 3, 4], and so on. This function should count how many moves are needed to convert the given initial piles into the goal state where each number from 1 to k appears as the size of exactly one pile, and return that count. These…