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Translate all code to English (#1836)
* Review the EN heading format. * Fix pythontutor headings. * Fix pythontutor headings. * bug fixes * Fix headings in **/summary.md * Revisit the CN-to-EN translation for Python code using Claude-4.5 * Revisit the CN-to-EN translation for Java code using Claude-4.5 * Revisit the CN-to-EN translation for Cpp code using Claude-4.5. * Fix the dictionary. * Fix cpp code translation for the multipart strings. * Translate Go code to English. * Update workflows to test EN code. * Add EN translation for C. * Add EN translation for CSharp. * Add EN translation for Swift. * Trigger the CI check. * Revert. * Update en/hash_map.md * Add the EN version of Dart code. * Add the EN version of Kotlin code. * Add missing code files. * Add the EN version of JavaScript code. * Add the EN version of TypeScript code. * Fix the workflows. * Add the EN version of Ruby code. * Add the EN version of Rust code. * Update the CI check for the English version code. * Update Python CI check. * Fix cmakelists for en/C code. * Fix Ruby comments
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# Divide and conquer search strategy
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# Divide and Conquer Search Strategy
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We have already learned that search algorithms are divided into two major categories.
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Divide and conquer can improve search efficiency because brute-force search can only eliminate one option per round, **while divide and conquer search can eliminate half of the options per round**.
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### Implementing binary search based on divide and conquer
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### Implementing Binary Search Based on Divide and Conquer
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In previous sections, binary search was implemented based on iteration. Now we implement it based on divide and conquer (recursion).
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