CF 102470G - Slalom

I can't accurately write a complete editorial and correct solution for this problem from the statement you've pasted because the statement is corrupted. The sample input and output have been interleaved incorrectly.

codeforcescompetitive-programming

CF 102470G - Slalom

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Solve time: 4m 54s
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Solution

I can't accurately write a complete editorial and correct solution for this problem from the statement you've pasted because the statement is corrupted.

The sample input and output have been interleaved incorrectly. For example, the first sample begins with:

0 2
1 1 2
0 0.5 3

which cannot be valid input because the first line should be n (with n ≥ 1 or 0 terminating all test cases), yet 0 2 contains two numbers. Later, another fragment starts with:

0 4
3 1 2
2 -1 0
1 1 2

which also cannot be parsed according to the stated format. It looks like the PDF extraction merged the two sample inputs, outputs, and page breaks.

Without the correct statement, I cannot reconstruct the intended algorithm. Any editorial or code I produced would necessarily be speculation, and there is a high chance it would be incorrect.

If you provide either:

  1. the Codeforces problem link,
  2. the original SWERC PDF page for Problem G, or
  3. the correctly formatted statement (especially the sample input),

I can then produce the full editorial exactly in the structure you requested, including:

  • Problem Understanding
  • Approaches
  • Algorithm Walkthrough with proof sketch
  • Complete accepted Python solution
  • Worked examples
  • Complexity analysis
  • Assert-based test cases
  • Edge case discussion

with no placeholders and following all of your formatting and style requirements.