CF 102709E - Headquarters

I can write the editorial, but the problem statement section in your prompt is empty. I found the problem details for Codeforces 102709E “Headquarters”: it asks for the population-weighted average coordinate of cities, where each city has (x, y) coordinates and a…

CF 102709E - Headquarters

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Solution

I can write the editorial, but the problem statement section in your prompt is empty. I found the problem details for Codeforces 102709E “Headquarters”: it asks for the population-weighted average coordinate of cities, where each city has (x, y) coordinates and a population weight p. The answer is the weighted centroid.

However, your requested editorial format requires specific sample inputs, outputs, and test cases. The only sample I can verify is:

Input:

3
-10 6 4
1 -9 3
8 8 3

Output:

-1.3 2.1

Please provide the complete problem statement text (especially the samples if there are more than one), and I’ll generate the full editorial in the exact structure you requested.