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2.Course/2.深入浅出程序设计竞赛（提高篇）/书籍：深入浅出程序设计竞赛（进阶篇）/images/svg/fig-037.svg
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<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 850 678" width="850" height="678"><title>分治与倍增：本章思维导图</title><defs><marker id="a" viewBox="0 0 10 10" refX="9" refY="5" markerWidth="7" markerHeight="7" orient="auto-start-reverse"><path d="M0 0L10 5L0 10Z" fill="#416687"/></marker></defs><rect width="100%" height="100%" fill="white"/><g font-family="Microsoft YaHei,Arial,sans-serif" fill="#263c52" stroke-linecap="round">
<rect x="165" y="15" width="520" height="48" stroke="#67859e" fill="#e6edf5" stroke-width="1.5"/>
<text x="425" y="39" text-anchor="middle" dominant-baseline="central" font-size="25">分治与倍增</text>
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<rect x="70" y="96" width="745" height="36" stroke="#67859e" fill="#eef3f8" stroke-width="1.5"/>
<text x="85" y="120" font-size="21" font-weight="bold">归并排序与快速幂</text>
<path d="M82 158L98 158" fill="none" stroke="#416687" stroke-width="2"/>
<text x="108" y="164" font-size="19">例 3-1：快速排序</text>
<text x="405" y="164" font-size="18">归并排序的原理</text>
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<text x="108" y="216" font-size="19">例 3-2：逆序对</text>
<text x="405" y="216" font-size="18">分治求解逆序对</text>
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<text x="108" y="268" font-size="19">例 3-3：火柴排队</text>
<text x="405" y="268" font-size="18">逆序对的综合应用</text>
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<text x="108" y="320" font-size="19">例 3-4：快速幂、取余运算</text>
<text x="405" y="320" font-size="18">高效求解整数的幂</text>
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<text x="108" y="372" font-size="19">例 3-5：麦森数</text>
<text x="405" y="372" font-size="18">快速幂的应用</text>
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<rect x="70" y="410" width="745" height="36" stroke="#67859e" fill="#eef3f8" stroke-width="1.5"/>
<text x="85" y="434" font-size="21" font-weight="bold">其他序列上的分治</text>
<path d="M82 472L98 472" fill="none" stroke="#416687" stroke-width="2"/>
<text x="108" y="478" font-size="19">例 3-6：最大子段和</text>
<text x="405" y="478" font-size="18">使用分治求解最大子段和；主定理分析</text>
<path d="M40 534L70 534" fill="none" stroke="#416687" stroke-width="2"/>
<rect x="70" y="516" width="745" height="36" stroke="#67859e" fill="#eef3f8" stroke-width="1.5"/>
<text x="85" y="540" font-size="21" font-weight="bold">倍增与 ST 表</text>
<path d="M82 578L98 578" fill="none" stroke="#416687" stroke-width="2"/>
<text x="108" y="584" font-size="19">例 3-7：平衡的队列</text>
<text x="405" y="584" font-size="18">倍增思想；使用 ST 表求解区间最值</text>
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<text x="108" y="636" font-size="19">例 3-8：喷泉</text>
<text x="405" y="636" font-size="18">ST 表的综合应用</text>
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