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Translation: Update index.md (#1633)

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Chapter 12 of "divide and conquer
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!!! abstract !!! abstract
Difficult problems are decomposed layer by layer, each decomposition making them simpler. Difficult problems are decomposed layer by layer, with each decomposition making them simpler.
Divide and conquer reveals an important truth: start with simplicity, and nothing is complex anymore. Divide and conquer unveils a profound truth: begin with simplicity, and complexity dissolves.