{"id":31,"date":"2022-06-04T10:52:00","date_gmt":"2022-06-04T02:52:00","guid":{"rendered":"http:\/\/ubuntu.tim-wcx.ltd\/wordpress\/index.php\/2022\/06\/04\/2020-08-13\/"},"modified":"2022-06-04T10:52:00","modified_gmt":"2022-06-04T02:52:00","slug":"2020-08-13","status":"publish","type":"post","link":"https:\/\/wordpress.tim-wcx.ltd\/index.php\/2022\/06\/04\/2020-08-13\/","title":{"rendered":"2020-08-13"},"content":{"rendered":"<p><svg  style=\"display: none;\">\n                        <path stroke-linecap=\"round\" d=\"M5,0 0,2.5 5,5z\" id=\"raphael-marker-block\" style=\"-webkit-tap-highlight-color: rgba(0, 0, 0, 0);\"><\/path>\n                    <\/svg><\/p>\n<p><a href=\"http:\/\/icpc.upc.edu.cn\/problem.php?id=16535\">http:\/\/icpc.upc.edu.cn\/problem.php?id=16535<\/a><\/p>\n<h5><a id=\"_1\"><\/a>\u9898\u76ee<\/h5>\n<p>16535: Lead of Wisdom<\/p>\n<h5><a id=\"_4\"><\/a>\u9898\u76ee\u63cf\u8ff0<\/h5>\n<p>In an online game, \u201cLead of Wisdom\u201d is a place where the lucky player can randomly get powerful items.<br \/> <img decoding=\"async\" src=\"https:\/\/imgconvert.csdnimg.cn\/aHR0cDovL2ljcGMudXBjLmVkdS5jbi91cGxvYWQvaW1hZ2UvMjAyMDA3MjMvMjAyMDA3MjMxNDU1MjFfODM5NTkucG5n?x-oss-process=image\/format,png#pic_center\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\"><\/p>\n<p>There are k types of items, a player can wear at most one item for each type. For the i-th item, it has four attributes ai,bi,ci and di. Assume the set of items that the player wearing is S, the damage rate of the player DMG can be calculated by the formula:<br \/> <img decoding=\"async\" src=\"https:\/\/imgconvert.csdnimg.cn\/aHR0cDovL2ljcGMudXBjLmVkdS5jbi91cGxvYWQvaW1hZ2UvMjAyMDA3MjMvMjAyMDA3MjMxNDU2MzhfODczNDIucG5n?x-oss-process=image\/format,png#pic_center\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\"><\/p>\n<p>Little Q has got n items from \u201cLead of Wisdom\u201d, please write a program to help him select which items to wear such that the value of DMG is maximized.<\/p>\n<h5><a id=\"_12\"><\/a>\u8f93\u5165<\/h5>\n<p>The first line of the input contains a single integer T (1\u2264T\u226410), the number of test cases.<\/p>\n<p>For each case, the first line of the input contains two integers n and k (1\u2264n,k\u226450), denoting the number of items and the number of item types.<\/p>\n<p>Each of the following n lines contains five integers ti,ai,bi,ci and di (1\u2264ti\u2264k, 0\u2264ai,bi,ci,di\u2264100), denoting an item of type ti whose attributes are ai,bi,ci and di.<\/p>\n<h5><a id=\"_18\"><\/a>\u8f93\u51fa<\/h5>\n<p>For each test case, output a single line containing an integer, the maximum value of DMG.<\/p>\n<h5><a id=\"_20\"><\/a>\u6837\u4f8b\u8f93\u5165<\/h5>\n<pre><code>1\n6 4\n1 17 25 10 0\n2 0 0 25 14\n4 17 0 21 0\n1 5 22 0 10\n2 0 16 20 0\n4 37 0 0 0\n<\/code><\/pre>\n<h5><a id=\"_31\"><\/a>\u6837\u4f8b\u8f93\u51fa<\/h5>\n<pre><code>297882000\n<\/code><\/pre>\n<p>\u66b4\u529b\u641c\u7d22\u5373\u53ef<\/p>\n<pre><code class=\"prism language-cpp\"><span class=\"token macro property\">#<span class=\"token directive keyword\">pragma<\/span> GCC optimize(1)<\/span>\n<span class=\"token macro property\">#<span class=\"token directive keyword\">pragma<\/span> GCC optimize(2)<\/span>\n<span class=\"token macro property\">#<span class=\"token directive keyword\">pragma<\/span> GCC optimize(3,\"Ofast\",\"inline\")<\/span>\n<span class=\"token macro property\">#<span class=\"token directive keyword\">include<\/span> <span class=\"token string\"><bits\/stdc++.h><\/span><\/span>\n<span class=\"token keyword\">using<\/span> <span class=\"token keyword\">namespace<\/span> std<span class=\"token punctuation\">;<\/span>\n<span class=\"token keyword\">typedef<\/span> <span class=\"token keyword\">long<\/span> <span class=\"token keyword\">long<\/span> ll<span class=\"token punctuation\">;<\/span>\n<span class=\"token keyword\">struct<\/span> node\n<span class=\"token punctuation\">{<!-- --><\/span>\n    <span class=\"token keyword\">int<\/span> a<span class=\"token punctuation\">,<\/span>b<span class=\"token punctuation\">,<\/span>c<span class=\"token punctuation\">,<\/span>d<span class=\"token punctuation\">;<\/span>\n<span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span>\nvector<span class=\"token operator\"><<\/span>node<span class=\"token operator\">><\/span>w<span class=\"token punctuation\">[<\/span><span class=\"token number\">60<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span>\n<span class=\"token keyword\">int<\/span> t<span class=\"token punctuation\">,<\/span>n<span class=\"token punctuation\">,<\/span>k<span class=\"token punctuation\">,<\/span>a<span class=\"token punctuation\">,<\/span>b<span class=\"token punctuation\">,<\/span>c<span class=\"token punctuation\">,<\/span>d<span class=\"token punctuation\">,<\/span>e<span class=\"token punctuation\">;<\/span>\n<span class=\"token keyword\">int<\/span> cnt<span class=\"token operator\">=<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span>\nll max1<span class=\"token operator\">=<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span>\nmap<span class=\"token operator\"><<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">,<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">><\/span>mp<span class=\"token punctuation\">;<\/span>\n<span class=\"token keyword\">inline<\/span> <span class=\"token keyword\">int<\/span> <span class=\"token function\">q<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">register<\/span> <span class=\"token keyword\">int<\/span> p<span class=\"token punctuation\">,<\/span><span class=\"token keyword\">register<\/span> <span class=\"token keyword\">int<\/span> sum1<span class=\"token punctuation\">,<\/span><span class=\"token keyword\">register<\/span> <span class=\"token keyword\">int<\/span> sum2<span class=\"token punctuation\">,<\/span><span class=\"token keyword\">register<\/span> <span class=\"token keyword\">int<\/span> sum3<span class=\"token punctuation\">,<\/span><span class=\"token keyword\">register<\/span> <span class=\"token keyword\">int<\/span> sum4<span class=\"token punctuation\">)<\/span>\n<span class=\"token punctuation\">{<!-- --><\/span>\n    <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>p<span class=\"token operator\">==<\/span>cnt<span class=\"token operator\">+<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span>\n    <span class=\"token punctuation\">{<!-- --><\/span>\n        max1<span class=\"token operator\">=<\/span><span class=\"token function\">max<\/span><span class=\"token punctuation\">(<\/span>max1<span class=\"token punctuation\">,<\/span><span class=\"token punctuation\">(<\/span>ll<span class=\"token punctuation\">)<\/span>sum1<span class=\"token operator\">*<\/span>sum2<span class=\"token operator\">*<\/span>sum3<span class=\"token operator\">*<\/span>sum4<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\n        <span class=\"token keyword\">return<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span>\n    <span class=\"token punctuation\">}<\/span>\n    <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>w<span class=\"token punctuation\">[<\/span>p<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span><span class=\"token function\">empty<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span>\n        <span class=\"token function\">q<\/span><span class=\"token punctuation\">(<\/span>p<span class=\"token operator\">+<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span>sum1<span class=\"token punctuation\">,<\/span>sum2<span class=\"token punctuation\">,<\/span>sum3<span class=\"token punctuation\">,<\/span>sum4<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\n    <span class=\"token keyword\">else<\/span>\n        <span class=\"token keyword\">for<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">register<\/span> <span class=\"token keyword\">int<\/span> i<span class=\"token operator\">=<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> i<span class=\"token operator\"><<\/span>w<span class=\"token punctuation\">[<\/span>p<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">++<\/span><span class=\"token punctuation\">)<\/span>\n        <span class=\"token punctuation\">{<!-- --><\/span>\n            <span class=\"token function\">q<\/span><span class=\"token punctuation\">(<\/span>p<span class=\"token operator\">+<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span>sum1<span class=\"token operator\">+<\/span>w<span class=\"token punctuation\">[<\/span>p<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>a<span class=\"token punctuation\">,<\/span>sum2<span class=\"token operator\">+<\/span>w<span class=\"token punctuation\">[<\/span>p<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>b<span class=\"token punctuation\">,<\/span>sum3<span class=\"token operator\">+<\/span>w<span class=\"token punctuation\">[<\/span>p<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>c<span class=\"token punctuation\">,<\/span>sum4<span class=\"token operator\">+<\/span>w<span class=\"token punctuation\">[<\/span>p<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>d<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\n        <span class=\"token punctuation\">}<\/span>\n<span class=\"token punctuation\">}<\/span>\n<span class=\"token keyword\">int<\/span> <span class=\"token function\">main<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span>\n<span class=\"token punctuation\">{<!-- --><\/span>\n    <span class=\"token function\">scanf<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">\"%d\"<\/span><span class=\"token punctuation\">,<\/span><span class=\"token operator\">&<\/span>t<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\n    <span class=\"token keyword\">while<\/span><span class=\"token punctuation\">(<\/span>t<span class=\"token operator\">--<\/span><span class=\"token punctuation\">)<\/span>\n    <span class=\"token punctuation\">{<!-- --><\/span>\n        max1<span class=\"token operator\">=<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span>\n        <span class=\"token function\">scanf<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">\"%d%d\"<\/span><span class=\"token punctuation\">,<\/span><span class=\"token operator\">&<\/span>n<span class=\"token punctuation\">,<\/span><span class=\"token operator\">&<\/span>k<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\n        <span class=\"token keyword\">for<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">register<\/span> <span class=\"token keyword\">int<\/span> i<span class=\"token operator\">=<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span> i<span class=\"token operator\"><=<\/span>k<span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">++<\/span><span class=\"token punctuation\">)<\/span>\n            w<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span><span class=\"token function\">clear<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\n        mp<span class=\"token punctuation\">.<\/span><span class=\"token function\">clear<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\n        cnt<span class=\"token operator\">=<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span>\n        <span class=\"token keyword\">for<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">register<\/span> <span class=\"token keyword\">int<\/span> i<span class=\"token operator\">=<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span> i<span class=\"token operator\"><=<\/span>n<span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">++<\/span><span class=\"token punctuation\">)<\/span>\n        <span class=\"token punctuation\">{<!-- --><\/span>\n            <span class=\"token function\">scanf<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">\"%d%d%d%d%d\"<\/span><span class=\"token punctuation\">,<\/span><span class=\"token operator\">&<\/span>e<span class=\"token punctuation\">,<\/span><span class=\"token operator\">&<\/span>a<span class=\"token punctuation\">,<\/span><span class=\"token operator\">&<\/span>b<span class=\"token punctuation\">,<\/span><span class=\"token operator\">&<\/span>c<span class=\"token punctuation\">,<\/span><span class=\"token operator\">&<\/span>d<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\n            <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>mp<span class=\"token punctuation\">[<\/span>e<span class=\"token punctuation\">]<\/span><span class=\"token operator\">==<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span>\n            <span class=\"token punctuation\">{<!-- --><\/span>\n                mp<span class=\"token punctuation\">[<\/span>e<span class=\"token punctuation\">]<\/span><span class=\"token operator\">=<\/span><span class=\"token operator\">++<\/span>cnt<span class=\"token punctuation\">;<\/span>\n            <span class=\"token punctuation\">}<\/span>\n            w<span class=\"token punctuation\">[<\/span>mp<span class=\"token punctuation\">[<\/span>e<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span><span class=\"token function\">push_back<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">{<!-- --><\/span>a<span class=\"token punctuation\">,<\/span>b<span class=\"token punctuation\">,<\/span>c<span class=\"token punctuation\">,<\/span>d<span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\n        <span class=\"token punctuation\">}<\/span>\n        <span class=\"token function\">q<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">100<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">100<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">100<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">100<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\n        <span class=\"token function\">printf<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">\"%lldn\"<\/span><span class=\"token punctuation\">,<\/span>max1<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\n    <span class=\"token punctuation\">}<\/span>\n<span class=\"token punctuation\">}<\/span>\n<\/code><\/pre>\n","protected":false},"excerpt":{"rendered":"<p>http:\/\/icpc.upc.edu.cn\/pr&hellip;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-31","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/wordpress.tim-wcx.ltd\/index.php\/wp-json\/wp\/v2\/posts\/31","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wordpress.tim-wcx.ltd\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wordpress.tim-wcx.ltd\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wordpress.tim-wcx.ltd\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/wordpress.tim-wcx.ltd\/index.php\/wp-json\/wp\/v2\/comments?post=31"}],"version-history":[{"count":0,"href":"https:\/\/wordpress.tim-wcx.ltd\/index.php\/wp-json\/wp\/v2\/posts\/31\/revisions"}],"wp:attachment":[{"href":"https:\/\/wordpress.tim-wcx.ltd\/index.php\/wp-json\/wp\/v2\/media?parent=31"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wordpress.tim-wcx.ltd\/index.php\/wp-json\/wp\/v2\/categories?post=31"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wordpress.tim-wcx.ltd\/index.php\/wp-json\/wp\/v2\/tags?post=31"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}