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区间覆盖问题的贪心算法求解策略概述区间覆盖问题是经典组合优化问题之一其核心目标是在给定一组区间集合中选择最少数量的区间使得这些区间能够覆盖整个目标区间或指定范围。该问题在资源调度、任务分配、信号覆盖等领域具有广泛应用。贪心算法因其简洁性与高效性成为解决此类问题的常用策略。问题形式化定义给定一个实数区间 $[a, b]$ 和一组区间集合 $S {[s_1, e_1], [s_2, e_2], \dots, [s_n, e_n]}$其中每个区间表示为起始点 $s_i$ 与结束点 $e_i$要求从 $S$ 中选出最少数量的区间使其并集包含 $[a, b]$。若无法覆盖则返回无解。贪心策略的核心思想贪心算法在每一步选择当前最优局部解期望最终得到全局最优解。针对区间覆盖问题关键在于设计合理的贪心选择准则。常见的有效策略是每次选择能覆盖当前未覆盖区域起点且结束位置最远的区间。这一策略确保每一步尽可能扩展已覆盖范围从而减少后续所需区间数量。算法步骤详解将所有区间按起始位置升序排列。初始化当前覆盖终点为 $current_end a$选取区间计数器 $count 0$。遍历排序后的区间列表对于每个区间 $[s_i, e_i]$若 $s_i \leq current_end$则考虑是否可纳入覆盖范围。选择满足条件且 $e_i$ 最大的区间作为当前最优选择更新 $current_end e_i$$count 1$。若某一步无法找到满足 $s_i \leq current_end$ 的区间则说明无法完成覆盖。算法正确性分析该贪心策略的正确性基于“局部最优蕴含全局最优”的性质。通过数学归纳法可证明在每一步选择使覆盖范围最大化且不遗漏潜在可行区间的区间不会导致后续无法完成覆盖。若存在更优解必可通过交换策略构造出相同或更优的贪心路径从而验证贪心选择的合理性。时间复杂度与空间复杂度算法主要开销来自对区间的排序操作时间复杂度为 $O(n \log n)$其中 $n$ 为区间总数。后续遍历过程为 $O(n)$整体复杂度由排序主导。空间复杂度为 $O(1)$不计输入存储仅需维护当前覆盖端点与计数变量。实际应用示例在无线网络部署中需用最少基站覆盖某一地理区域每个基站信号覆盖范围为一区间。利用贪心算法可快速确定最小基站配置方案。类似场景还包括航班调度中的空域覆盖、城市监控摄像头布设等。tv.sohu.c#111;m/v/dXMvYS80NDUyMTcyNTMvNzQ4MDQ2MzcxLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDQyNDQzNjkvNzQ4MDQ2NjY0LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTY1OTcvNzQ4MDQ3MjIyLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTY5ODAvNzQ4MDQ3MzIxLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTczNjQvNzQ4MDQ3MjIzLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTc0NDIvNzQ4MDQ3MjE1LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDQyNDQ1MzcvNzQ4MDQ3MjE5LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTcxNzUvNzQ4MDQ3MjEwLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDQyNDQ1NDAvNzQ4MDQ3MjIxLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTY2ODYvNzQ4MDQ2NzQxLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTc2MTIvNzQ4MDQ3MzI4LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDQyNDQ2MjEvNzQ4MDQ2NjY4LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTcxNjYvNzQ4MDQ2NzQ1LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDQyNDM5ODIvNzQ4MDQ3MjE4LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDQyNDQzNzQvNzQ4MDQ2NzU0LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTY3ODMvNzQ4MDQ3MjA5LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTY3ODAvNzQ4MDQ2NzUzLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTcwNzEvNzQ4MDQ2MzkyLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTY1OTkvNzQ4MDQ2NzQ2LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDI5ODkzOTUvNzQ4MDQ2NjY2LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTY5NjYvNzQ4MDQ3MjIwLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDQyNDQ2MjAvNzQ4MDQ3MzIyLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTY2NzUvNzQ4MDQ3MzIwLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTY1ODkvNzQ4MDQ3MzI2LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTcxODEvNzQ4MDQ2NjcyLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTY1NzgvNzQ4MDQ2NzUxLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTY3NzMvNzQ4MDQ2NjcxLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTcyNTcvNzQ4MDQ2NjY1LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDQyNDQ1MzgvNzQ4MDQ3MjE0LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTc0MzUvNzQ4MDQ3MzE3LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDI4MDcyMjQvNzQ4MDQ3MzIzLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTY1OTAvNzQ4MDQ2NjYzLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTcyNDIvNzQ4MDQ3MzI3LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTcxNzIvNzQ4MDQ2NjY5LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDQyNDQ4MDQvNzQ4MDQ2NjY3LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTY2ODgvNzQ4MDQ2MzkxLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTcwNjQvNzQ4MDQ2NjYyLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTcyNTIvNzQ4MDQ2NjIzLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTcyNDgvNzQ4MDQ3MzI1LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTc2MDIvNzQ4MDQ2NzUwLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTcxNjIvNzQ4MDQ3MjEyLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDI4MDcwMjgvNzQ4MDQ2NjcwLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTY3NzcvNzQ4MDQ2NzE3LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDQyNDM5ODgvNzQ4MDQ3MzE2LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTcyNTkvNzQ4MDQ2NzI4LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDMxMTI5MjgvNzQ4MDQ3MjA4LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTc2MTcvNzQ4MDQ2NjUwLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTcxNzcvNzQ4MDQ3MzE5LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTc0NDMvNzQ4MDQ2NzQ0LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTcwNjgvNzQ4MDQ2MTkwLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTY3NzUvNzQ4MDQ2NzE5LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTcxNzgvNzQ4MDQ2NzI2LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTcxODAvNzQ4MDQ2MTk0LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTcwNjIvNzQ4MDQ3MzE4LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDQyNDQ5MDUvNzQ4MDQ2NzQzLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTc2MTYvNzQ4MDQ2MzkzLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTY2ODAvNzQ4MDQ2NjUyLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDQyNDQ0NzIvNzQ4MDQ3MjA3LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTY1OTQvNzQ4MDQ2NjQwLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDQyNDQ2MTkvNzQ4MDQ3MzA1LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTY2ODcvNzQ4MDQ2MTk1LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTY1OTYvNzQ4MDQ3MzEwLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTczNjYvNzQ4MDQ2Mzg2LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTcxNjQvNzQ4MDQ2NjM5LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTcwNjYvNzQ4MDQ2NjQ5LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDQyNDQxNzIvNzQ4MDQ2MzkwLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTcxNzYvNzQ4MDQ2NjU2LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTc0MzkvNzQ4MDQ2NzMzLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTc2MTUvNzQ4MDQ3MzAzLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTcxNzEvNzQ4MDQ2NjI4LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTY1OTIvNzQ4MDQ2MzgwLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTY2NzcvNzQ4MDQ2Mzk4LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTc2MTQvNzQ4MDQ2NDAwLnNodG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基于贪心算法的区间覆盖问题求解策略4
区间覆盖问题的贪心算法求解策略概述区间覆盖问题是经典组合优化问题之一其核心目标是在给定一组区间集合中选择最少数量的区间使得这些区间能够覆盖整个目标区间或指定范围。该问题在资源调度、任务分配、信号覆盖等领域具有广泛应用。贪心算法因其简洁性与高效性成为解决此类问题的常用策略。问题形式化定义给定一个实数区间 $[a, b]$ 和一组区间集合 $S {[s_1, e_1], [s_2, e_2], \dots, [s_n, e_n]}$其中每个区间表示为起始点 $s_i$ 与结束点 $e_i$要求从 $S$ 中选出最少数量的区间使其并集包含 $[a, b]$。若无法覆盖则返回无解。贪心策略的核心思想贪心算法在每一步选择当前最优局部解期望最终得到全局最优解。针对区间覆盖问题关键在于设计合理的贪心选择准则。常见的有效策略是每次选择能覆盖当前未覆盖区域起点且结束位置最远的区间。这一策略确保每一步尽可能扩展已覆盖范围从而减少后续所需区间数量。算法步骤详解将所有区间按起始位置升序排列。初始化当前覆盖终点为 $current_end a$选取区间计数器 $count 0$。遍历排序后的区间列表对于每个区间 $[s_i, e_i]$若 $s_i \leq current_end$则考虑是否可纳入覆盖范围。选择满足条件且 $e_i$ 最大的区间作为当前最优选择更新 $current_end e_i$$count 1$。若某一步无法找到满足 $s_i \leq current_end$ 的区间则说明无法完成覆盖。算法正确性分析该贪心策略的正确性基于“局部最优蕴含全局最优”的性质。通过数学归纳法可证明在每一步选择使覆盖范围最大化且不遗漏潜在可行区间的区间不会导致后续无法完成覆盖。若存在更优解必可通过交换策略构造出相同或更优的贪心路径从而验证贪心选择的合理性。时间复杂度与空间复杂度算法主要开销来自对区间的排序操作时间复杂度为 $O(n \log n)$其中 $n$ 为区间总数。后续遍历过程为 $O(n)$整体复杂度由排序主导。空间复杂度为 $O(1)$不计输入存储仅需维护当前覆盖端点与计数变量。实际应用示例在无线网络部署中需用最少基站覆盖某一地理区域每个基站信号覆盖范围为一区间。利用贪心算法可快速确定最小基站配置方案。类似场景还包括航班调度中的空域覆盖、城市监控摄像头布设等。tv.sohu.c#111;m/v/dXMvYS80NDUyMTcyNTMvNzQ4MDQ2MzcxLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDQyNDQzNjkvNzQ4MDQ2NjY0LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTY1OTcvNzQ4MDQ3MjIyLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTY5ODAvNzQ4MDQ3MzIxLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTczNjQvNzQ4MDQ3MjIzLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTc0NDIvNzQ4MDQ3MjE1LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDQyNDQ1MzcvNzQ4MDQ3MjE5LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTcxNzUvNzQ4MDQ3MjEwLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDQyNDQ1NDAvNzQ4MDQ3MjIxLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTY2ODYvNzQ4MDQ2NzQxLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTc2MTIvNzQ4MDQ3MzI4LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDQyNDQ2MjEvNzQ4MDQ2NjY4LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTcxNjYvNzQ4MDQ2NzQ1LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDQyNDM5ODIvNzQ4MDQ3MjE4LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDQyNDQzNzQvNzQ4MDQ2NzU0LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTY3ODMvNzQ4MDQ3MjA5LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTY3ODAvNzQ4MDQ2NzUzLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTcwNzEvNzQ4MDQ2MzkyLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTY1OTkvNzQ4MDQ2NzQ2LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDI5ODkzOTUvNzQ4MDQ2NjY2LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTY5NjYvNzQ4MDQ3MjIwLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDQyNDQ2MjAvNzQ4MDQ3MzIyLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTY2NzUvNzQ4MDQ3MzIwLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTY1ODkvNzQ4MDQ3MzI2LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTcxODEvNzQ4MDQ2NjcyLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTY1NzgvNzQ4MDQ2NzUxLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTY3NzMvNzQ4MDQ2NjcxLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTcyNTcvNzQ4MDQ2NjY1LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDQyNDQ1MzgvNzQ4MDQ3MjE0LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTc0MzUvNzQ4MDQ3MzE3LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDI4MDcyMjQvNzQ4MDQ3MzIzLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTY1OTAvNzQ4MDQ2NjYzLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTcyNDIvNzQ4MDQ3MzI3LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTcxNzIvNzQ4MDQ2NjY5LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDQyNDQ4MDQvNzQ4MDQ2NjY3LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTY2ODgvNzQ4MDQ2MzkxLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTcwNjQvNzQ4MDQ2NjYyLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTcyNTIvNzQ4MDQ2NjIzLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTcyNDgvNzQ4MDQ3MzI1LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTc2MDIvNzQ4MDQ2NzUwLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTcxNjIvNzQ4MDQ3MjEyLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDI4MDcwMjgvNzQ4MDQ2NjcwLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTY3NzcvNzQ4MDQ2NzE3LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDQyNDM5ODgvNzQ4MDQ3MzE2LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTcyNTkvNzQ4MDQ2NzI4LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDMxMTI5MjgvNzQ4MDQ3MjA4LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTc2MTcvNzQ4MDQ2NjUwLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTcxNzcvNzQ4MDQ3MzE5LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTc0NDMvNzQ4MDQ2NzQ0LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTcwNjgvNzQ4MDQ2MTkwLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTY3NzUvNzQ4MDQ2NzE5LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTcxNzgvNzQ4MDQ2NzI2LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTcxODAvNzQ4MDQ2MTk0LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTcwNjIvNzQ4MDQ3MzE4LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDQyNDQ5MDUvNzQ4MDQ2NzQzLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTc2MTYvNzQ4MDQ2MzkzLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTY2ODAvNzQ4MDQ2NjUyLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDQyNDQ0NzIvNzQ4MDQ3MjA3LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTY1OTQvNzQ4MDQ2NjQwLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDQyNDQ2MTkvNzQ4MDQ3MzA1LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTY2ODcvNzQ4MDQ2MTk1LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTY1OTYvNzQ4MDQ3MzEwLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTczNjYvNzQ4MDQ2Mzg2LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTcxNjQvNzQ4MDQ2NjM5LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTcwNjYvNzQ4MDQ2NjQ5LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDQyNDQxNzIvNzQ4MDQ2MzkwLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTcxNzYvNzQ4MDQ2NjU2LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTc0MzkvNzQ4MDQ2NzMzLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTc2MTUvNzQ4MDQ3MzAzLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTcxNzEvNzQ4MDQ2NjI4LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTY1OTIvNzQ4MDQ2MzgwLnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTY2NzcvNzQ4MDQ2Mzk4LnNodG1s.h#116;mltv.sohu.c#111;m/v/dXMvYS80NDUyMTc2MTQvNzQ4MDQ2NDAwLnNodG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