Check if elements of an array can be arranged satisfying the given condition in Python

Suppose we have an array called nums. We have to check whether it is possible to rearrange the elements of nums such that it follows the condition −

So, if the input is like nums = [8, -4, 4, -8], then the output will be True as if we arrange the array like [-4, -8, 4, 8] for i = 0, nums[2*0 + 1] = 2 * (-4) = -8 for i = 1, nums[2*1 + 1] = 2 * 4 = 8

To solve this, we will follow these steps −

• freq := a map containing elements of nums and their frequencies
• for each item in nums sorted in their absolute values, do
  • if freq[item] is 0, then
    • go for next iteration
  • if freq[2 * item] is 0, then
    • return False
  • freq[item] := freq[item] - 1
  • freq[2 * item] := freq[2 * item] - 1
• return True

Example

Let us see the following implementation to get better understanding −

from collections import defaultdict
def solve(nums):
   freq = defaultdict(int)
   for item in nums:
      freq[item] += 1
   for item in sorted(nums, key = abs):
      if freq[item] == 0:
         continue
      if freq[2 * item] == 0:
         return False
      freq[item] -= 1
      freq[2 * item] -= 1
   return True
nums = [8, -4, 4, -8]
print(solve(nums))

Input

[8, -4, 4, -8]

Output

True