Python Exercises

Python: Find the number of combinations

Python Basic - 1: Exercise-62 with Solution

Write a Python program to find the number of combinations that satisfy p + q + r + s = n where n is a given number <= 4000 and p, q, r, s in the range of 0 to 1000.

Sample Solution:

Python Code:

from collections import Counter
print("Input a positive integer: (ctrl+d to exit)") 
pair_dict = Counter()
for i in range(2001):
  pair_dict[i] = min(i, 2000 - i) + 1 
while True:
    n = int(input())
    ans = 0
    for i in range(n + 1):
      ans += pair_dict[i] * pair_dict[n - i]
    print("Number of combinations of a,b,c,d:",ans) 
  except EOFError:

Sample Output:

Input a positive integer: (ctrl+d to exit)
Number of combinations of a,b,c,d: 2731135


Flowchart: Python - Find the number of combinations

Python Code Editor:

Have another way to solve this solution? Contribute your code (and comments) through Disqus.

Previous: Write a Python program that compute the maximum value of the sum of the passing integers.
Next: Write a Python program which adds up columns and rows of given table as shown in the specified figure.

What is the difficulty level of this exercise?