# Python: Compute the summation of the absolute difference of all distinct pairs in a given array

## Python Basic - 1: Exercise-26 with Solution

Write a Python program to compute the summation of the absolute difference of all distinct pairs in a given array (non-decreasing order).

Sample array: [1, 2, 3]

Then all the distinct pairs will be:

1 2

1 3

2 3

**Sample Solution**:

**Python Code:**

```
def sum_distinct_pairs(arr):
result = 0
i = 0
while i<len(arr):
result+=i*arr[i]-(len(arr)-i-1)*arr[i]
i+=1
return result
print(sum_distinct_pairs([1,2,3]))
print(sum_distinct_pairs([1,4,5]))
```

Sample Output:

4 8

**Pictorial Presentation:**

**Flowchart:**

**Python Code Editor:**

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