Challenge question - > Changing Numbers

Question

Combinatorics and number theory are very useful in computer science. Solve this problem to improve your skills in these fields.

You are given integers and .

Let's define . Initially, you have an integer . You can modify it in two ways:

Multiply the current number by some number , where is a prime number and .
If the current number is divisible by , divide it by , where is a prime number and .
Then, we define as the number of distinct numbers you can get if you perform these modifications no more than times in total starting with .

You need to find modulo . You are asked to find this sum to avoid printing a lot of numbers.

Complete the function distinctNumbers which takes in two integers and and returns a single integer denoting the sum above.

Input Format

The single line contains two space-separated integers and .

Constraints

Additionally, for of the total points:

.
Output Format

Print a single number denoting the answer.

Sample Input 0

3 1
Sample Output 0

23
Explanation 0

Starting with , you can obtain the following numbers: , , .

# Operation Result
0 - 1
1 1*2 2
1 1*3 3
Starting with , you can obtain the following numbers: , , , .

# Operation Result
1 2/2 1
0 - 2
1 2*2 4
1 2*3 6
Starting with , you can obtain the following numbers: , , , .

# Operation Result
1 3/3 1
0 - 3
1 3*2 6
1 3*3 9
So, , , and you should print .

Sample Input 1

4 2
Sample Output 1

82

Default Code:

#!/bin/python3

import os
import sys

# Complete the distinctNumbers function below.
def distinctNumbers(n, k):
# Return the number of distinct numbers you can get and return the answer modulo 1000000007

if __name__ == '__main__':
fptr = open(os.environ['OUTPUT_PATH'], 'w')

nk = input().split()

n = int(nk[0])

k = int(nk[1])

result = distinctNumbers(n, k)

fptr.write(str(result) + '\n')

fptr.close()

Answer 1

Anthony Perez It seems your question appears to be an assignment. Please show us your attempt and use the 8 rules to get help from the community.
https://www.sololearn.com/Blog/38/8-simple-rules-to-get-help-from-the-community

*can be a code coach solution which is meant for you to do to help you establish your skills abilities and where you need to learn... not the community
*one issued by a school or other institution
*one issued or created by another platform
*one that appears to be in the form of a challenge that was created by you or somewhere else.

Your question will be reviewed by a team of moderators and will most likely be marked for deletion.
https://www.sololearn.com/Discuss/1316935/?ref=app