Finding the number you want in large ranges with just a few operations (log(N)) is awesome. This has helped me in many places other than Competitive programming.
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Codeforces Round 977 (Div. 2, based on COMPFEST 16 - Final Round)
18:50:57
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Codeforces Round 977 (Div. 2, based on COMPFEST 16 - Final Round)
18:50:57
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The diversity of problems that can be solved with binary search is just fascinating.