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Floyd Warshall
Medium Accuracy: 25.81% Submissions: 2552 Points: 4

The problem is to find shortest distances between every pair of vertices in a given edge weighted directed Graph. The Graph is represented as adjancency matrix, and the matrix denotes the weight of the edegs (if it exists) else -1. Do it in-place.
 

Example 1:

Input: matrix = {{0,25},{-1,0}}
Output: {{0,25},{-1,0}}
Explanation: The shortest distance between
every pair is already given(if it exists).

Example 2:

Input: matrix = {{0,1,43},{1,0,6},{-1,-1,0}}
Output: {{0,1,7},{1,0,6},{-1,-1,0}}
Explanation: We can reach 3 from 1 as 1->2->3
and the cost will be 1+6=7 which is less than 
43.

 

Your Task:
You don't need to read, return or print anything. Your task is to complete the function shortest_distance() which takes the matrix as input parameter and modify the distances for every pair in-place.

 

Expected Time Complexity: O(n3)
Expected Space Compelxity: O(1)

 

Constraints:
1 <= n <= 100

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Floyd Warshall

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