# SPCWAR IUPC Editorial

Author: Kabeer27

Editorialist: Kabeer Seth

EASY-MEDIUM

### PREREQUISITES:

Connected Components, BFS, Diameter of Tree

### PROBLEM:

Optimally place source points of information in each of the connected components to obtain minimum time.

### EXPLANATION:

Find all the connected components and then in each connected component place your source node as the center of the diameter, the time taken to spread will be diameter/2 for each connected component, now just compute the maximum of all the diameter/2.

The center of the diameter will be the most optimal point as the longest possible path in any connected component will be the diameter, if we choose any other points it will take more than diameter/2 time.

### AUTHORâ€™S SOLUTION:

Authorâ€™s solution can be found here .

2 Likes

It was bad to inform late that the resulting graph didnâ€™t have cycles. We knew that finding center for graphs can be O(n^3), so we left such a straightforward problem till it was resolved. Surprisingly, some teams solved it before resolving

1 Like

Yeah that was unfortunately missed out, later resolved sorry for the inconvenience.

1 Like

got TLE using exactly same approach in java
https://www.codechef.com/viewsolution/28761873
were time multiplier applicable ?

I think you meant \left\lceil diameter / 2 \right\rceil everywhere.

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i am unable to submit my solution

Why is my code giving WA ??

https://pastebin.com/faf1FKvy

Thanks

It is not optimal to start with the node with the highest outdegree.

Counter Case:

10 9
1 2
1 3
1 4
1 5
4 6
6 7
7 8
8 9
9 10

2 Likes