41 01背包 记录方案

本文讨论了01背包问题在智能设备安装应用的场景中如何解决。当手机空间不足时,Sandra发现安装应用的顺序会影响能安装的最大数量。每个应用都有下载大小和占用存储空间的大小。为了最大化安装应用的数量,Sandra需要找到最佳安装顺序。输入包括应用数量和可用存储空间,输出应给出能安装的最大应用数及安装顺序。问题的关键在于根据下载大小与存储大小的差值进行排序,优先安装占用空间大的应用。

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Problem IInstalling AppsTime limit: 2 seconds

Mobile radio telephone, public domainSandra recently bought her first smart phone. One ofher friends suggested a long list of applications (morecommonly known as “apps”) that she should install onthe phone. Sandra immediately started installing theapps from the list, but after installing a few, the phonedid not have enough disk space to install any more apps.Sometimes, the app installation failed because there wasnot even enough space to download the installation pack-age. Other apps could be downloaded just fine, but had insufficient space to store the installed app.Each app that Sandra installs has a download sized  and a storage size s To download the app, Sandra’s phone must have at least d megabytes of free disk space. After the app has been installed, it then uses s  megabytes of  disk space on the phone. The download size may be smaller than the storage size (e.g., if the  app data is heavily compressed

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