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krahets
2023-09-21 20:44:52 +08:00
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@@ -3452,7 +3452,32 @@
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@@ -3463,6 +3488,13 @@
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<h1 id="153">15.3 &nbsp; 最大容量问题<a class="headerlink" href="#153" title="Permanent link">&para;</a></h1>
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@@ -3791,11 +3823,73 @@ cap[i, i+1], cap[i, i+2], \dots, cap[i, j-2], cap[i, j-1]
<p>观察发现,<strong>这些被跳过的状态实际上就是将长板 <span class="arithmatex">\(j\)</span> 向内移动的所有状态</strong>。而在第二步中,我们已经证明内移长板一定会导致容量变小。也就是说,被跳过的状态都不可能是最优解,<strong>跳过它们不会导致错过最优解</strong></p>
<p>以上的分析说明,<strong>移动短板的操作是“安全”的</strong>,贪心策略是有效的。</p>
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@@ -3861,48 +3955,31 @@ cap[i, i+1], cap[i, i+2], \dots, cap[i, j-2], cap[i, j-1]
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rights to use, copy, modify, merge, publish, distribute, sublicense, and/or
sell copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:
The above copyright notice and this permission notice shall be included in
all copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NON-INFRINGEMENT. IN NO EVENT SHALL THE
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@@ -3913,6 +3990,8 @@ cap[i, i+1], cap[i, i+2], \dots, cap[i, j-2], cap[i, j-1]
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