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You are given an integer array nums sorted in non-decreasing order.Build and return an integer array result with the same length as nums such that result[i] is equal to the summation of absolute differences between nums[i] and all the other elements in the array.In other words, result[i] is equal to sum(|nums[i]-nums[j]|) where 0 <= j < nums.length and j != i (0-indexed). Example 1:Input: nums = [2,3,5]Output: [4,3,5]Explanation: Assuming the arrays are 0-indexed, thenresult[0] = |2-2| + |2-3| + |2-5| = 0 + 1 + 3 = 4,result[1] = |3-2| + |3-3| + |3-5| = 1 + 0 + 2 = 3,result[2] = |5-2| + |5-3| + |5-5| = 3 + 2 + 0 = 5.Example 2:Input: nums = [1,4,6,8,10]Output: [24,15,13,15,21]

Question

You are given an integer array nums sorted in non-decreasing order.Build and return an integer array result with the same length as nums such that result[i] is equal to the summation of absolute differences between nums[i] and all the other elements in the array.In other words, result[i] is equal to sum(|nums[i]-nums[j]|) where 0 <= j < nums.length and j != i (0-indexed). Example 1:Input: nums = [2,3,5]Output: [4,3,5]Explanation: Assuming the arrays are 0-indexed, thenresult[0] = |2-2| + |2-3| + |2-5| = 0 + 1 + 3 = 4,result[1] = |3-2| + |3-3| + |3-5| = 1 + 0 + 2 = 3,result[2] = |5-2| + |5-3| + |5-5| = 3 + 2 + 0 = 5.Example 2:Input: nums = [1,4,6,8,10]Output: [24,15,13,15,21]

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Solution

To solve this problem, you can follow these steps:

  1. Initialize an empty list result to store the results.
  2. Iterate over the nums list using a for loop. For each number nums[i]:
    • Initialize a variable sum to 0.
    • Iterate over the nums list again using a nested for loop. For each number nums[j]:
      • If i is not equal to j, add the absolute difference between nums[i] and nums[j] to sum.
    • Append sum to result.
  3. Return result.

Here is a Python solution following these steps:

def sum_of_absolute_differences(nums):
    result = []
    for i in range(len(nums)):
        sum = 0
        for j in range(len(nums)):
            if i != j:
                sum += abs(nums[i] - nums[j])
        result.append(sum)
    return result

You can call this function with the given examples like this:

print(sum_of_absolute_differences([2,3,5]))  # Output: [4,3,5]
print(sum_of_absolute_differences([1,4,6,8,10]))  # Output: [24,15,13,15,21]

This solution has a time complexity of O(n^2) because of the two nested loops. If the input list is very large, this solution might be too slow. In that case, you would need to find a more efficient algorithm.

This problem has been solved

Similar Questions

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