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Advanced · Recursion · 167 of 264

Fair split

Can the numbers be split into two groups with the same sum? Every number must go into one of the groups.

Input: up to 18 positive whole numbers on one line. Output: yes or no

Examples

Input
1 5 11 5
Output
yes
Input
1 2 3 5
Output
no
Input
2 2
Output
yes

2 more tests check other inputs when you press Check.

Stuck? The idea behind recursion

A recursive function calls itself on a smaller version of the problem, until it reaches a case small enough to answer directly (the base case).

Trust the smaller call to be right, and only work out how to build this answer from it.

def factorial(n):
    if n == 0:
        return 1
    return n * factorial(n - 1)

print(factorial(5))

Watch for: Without a base case, or if the problem doesn't get smaller, it never stops: Python gives up with a RecursionError.

All the recursion exercises
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