feat(codeforces): 1016
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<h1 class="post-title">Competitive Programming Log</h1>
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</header>
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<article class="post-article">
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<h2>
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<a href="https://codeforces.com/contest/2093" target="_blank"
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>1016 (div. 3)</a
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>—8/4/2025
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</h2>
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<div>
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Horrendous competition but I refrain from cringing for the sake of
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improvement.
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</div>
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<ul>
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<li>A: trivial</li>
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<li>
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B: took me a while and I still don't get the proof. Good
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resilience in trying to formally prove it then detecting a pattern
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(remove all non-zero/zero digits after/before the last non-zero
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digit).
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</li>
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<li>
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C:
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<b>math skills remain weak but pattern recognition is improving</b
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>. I "guess and checked" that any \(x+x\) is not prime when
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\(x\neq1\). However,
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<b
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>after catching 2 edge cases \(x=k=1\), \(k=1\), I gave up,
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ignoring \(x=1,k=2\),</b
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>
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causing a WA. This is the downside of lacking a formal
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proof/understanding the math—while in retrospect I can say
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"consider a few more edge cases," I can't tell when to stop
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investigating. Still, I should've separated out cases \(k=1\),
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\(k\neq1\) and exhaustively proved \(k=1\), which is remarkably
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facile.
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<b
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>I still don't know how to factorize numbers in
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\(O(\sqrt{n})\)</b
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>
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and copy from AI (allegedly).
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</li>
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<li>
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D: got the idea but it was very abstract. Rushed to
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implementation, wasted time—same old story. Got it after
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contest.
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<b
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>After failing to implement for a long time, abandon the
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approach and start from scratch—99% of the time you're not
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going to get it.</b
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>
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</li>
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<li>
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E: failed implementation. At least I saw binary search after
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stepping back. I tried to find an upper bound on \(x\) by creating
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<i>exactly</i> \(k\) groups but for ease of implementation I
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should've went for \(\geq k\) since any sequence with MEX \(x\)
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can be extended to have MEX \(\geq x\) with the addition of any
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number.
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<blockquote>
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Specifically define <i>everything</i>. What am I binary
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searching over (in this case, forming some \(x\) with
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<i>at least</i> \(k\) groups)? What are the bounds? Is the
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search space monotonic? Why?
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</blockquote>
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</li>
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<li>
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F: I had seen a bitwise trie before and didn't review the problem.
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I didn't upsolve then, so I couldn't upsolve now, and getting this
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problem right would've made a massive difference in my
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performance. These are the consequences—<b>upsolving is goated</b>.
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</li>
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</ul>
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<h2>
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<a href="https://codeforces.com/contest/1873/" target="_blank"
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>898 (div. 4)</a
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