{"id":2597,"date":"2022-04-04T23:15:46","date_gmt":"2022-04-04T15:15:46","guid":{"rendered":"https:\/\/www.zeroheart.xyz\/wordpress\/?p=2597"},"modified":"2022-04-04T23:15:46","modified_gmt":"2022-04-04T15:15:46","slug":"dp%e7%ac%ac%e4%b8%83%e5%a4%a9","status":"publish","type":"post","link":"https:\/\/www.zeroheart.xyz\/wordpress\/?p=2597","title":{"rendered":"dp\u7b2c\u4e03\u5929"},"content":{"rendered":"\n

1014. \u6700\u4f73\u89c2\u5149\u7ec4\u5408<\/a><\/p>\n\n\n\n

\u8fd9\u4e00\u9898\u4f7f\u7528\u5e73\u65f6\u7684\u65b9\u6cd5\uff0c\u4e24\u5c42\u5faa\u73af\u7684\u8bdd\u8d85\u65f6\uff0c\u9700\u8981\u628a\u516c\u5f0f\u8f6c\u6362\u4e00\u4e0b\uff0c\u53ef\u4ee5\u53ea\u904d\u5386\u4e00\u6b21<\/p>\n\n\n\n

\/**
<\/em> 1014. \u6700\u4f73\u89c2\u5149\u7ec4\u5408
<\/em> \u7ed9\u4f60\u4e00\u4e2a\u6b63\u6574\u6570\u6570\u7ec4 values\uff0c\u5176\u4e2d values[i] \u8868\u793a\u7b2c i \u4e2a\u89c2\u5149\u666f\u70b9\u7684\u8bc4\u5206\uff0c\u5e76\u4e14\u4e24\u4e2a\u666f\u70b9 i \u548c j \u4e4b\u95f4\u7684 \u8ddd\u79bb \u4e3a j - i\u3002
<\/em>
<\/em> \u4e00\u5bf9\u666f\u70b9\uff08i < j\uff09\u7ec4\u6210\u7684\u89c2\u5149\u7ec4\u5408\u7684\u5f97\u5206\u4e3a values[i] + values[j] + i - j \uff0c\u4e5f\u5c31\u662f\u666f\u70b9\u7684\u8bc4\u5206\u4e4b\u548c \u51cf\u53bb \u5b83\u4eec\u4e24\u8005\u4e4b\u95f4\u7684\u8ddd\u79bb\u3002
<\/em>
<\/em> \u8fd4\u56de\u4e00\u5bf9\u89c2\u5149\u666f\u70b9\u80fd\u53d6\u5f97\u7684\u6700\u9ad8\u5206\u3002
<\/em>
<\/em>
<\/em>
<\/em> \u793a\u4f8b 1\uff1a
<\/em>
<\/em> \u8f93\u5165\uff1avalues = [8,1,5,2,6]
<\/em> \u8f93\u51fa\uff1a11
<\/em> \u89e3\u91ca\uff1ai = 0, j = 2, values[i] + values[j] + i - j = 8 + 5 + 0 - 2 = 11
<\/em> \u793a\u4f8b 2\uff1a
<\/em>
<\/em> \u8f93\u5165\uff1avalues = [1,2]
<\/em> \u8f93\u51fa\uff1a2
<\/em>
<\/em>
<\/em> \u63d0\u793a\uff1a
<\/em>
<\/em> 2 <= values.length <= 5 * 10^4
<\/em> 1 <= values[i] <= 1000
<\/em>
<\/em> * <\/em>@author <\/em><\/strong>zeroheart
<\/em> *
<\/em> *\/
<\/em>public class Question1014 {
    public int maxScoreSightseeingPair(int[] values) {
\/\/        int len = values.length;
\/\/        int maxIJ = 0;
\/\/        for(int i=0; i<len; i++){
\/\/            for(int j = i+1; j<len; j++){
\/\/                maxIJ = Math.max(values[i] + values[j] + i - j, maxIJ);
\/\/            }
\/\/        }
\/\/        return maxIJ;

        int len = values.length;
        int max = 0;
        int premax = values[0]+0;
        \/\/ values[i] + values[j] + i - j
        \/\/ \u6539\u5199\u6210\uff0cvalues[i] + i + values[j] - j\uff0c\u5bf9\u4e8ej\u6765\u8bf4\uff0cvalues[i] + i \u6700\u5927\u5373\u53ef
        \/\/ O(n2)->O(n)
        for(int i = 1; i<len; i++){
            max = Math.max<\/em>(max, premax + values[i] - i);
            premax = Math.max<\/em>(premax, values[i] + i);
        }

        return max;

    }

    public static void main(String[] args) {

    }
}<\/pre>\n\n\n\n
121. \u4e70\u5356\u80a1\u7968\u7684\u6700\u4f73\u65f6\u673a<\/a><\/p>\n\n\n\n
\u8fd9\u9898\u662f\u7b80\u5355\u9898\uff0c\u7528\u5230\u7684\u5c45\u7136\u548c\u4e0a\u9762\u662f\u4e00\u6837\u7684\uff0c\u53ea\u662f\u6ca1\u6709\u516c\u5f0f\u7684\u8f6c\u6362\u4e86<\/p>\n\n\n\n
\/**\n 121. \u4e70\u5356\u80a1\u7968\u7684\u6700\u4f73\u65f6\u673a\n \u7ed9\u5b9a\u4e00\u4e2a\u6570\u7ec4 prices \uff0c\u5b83\u7684\u7b2c i \u4e2a\u5143\u7d20 prices[i] \u8868\u793a\u4e00\u652f\u7ed9\u5b9a\u80a1\u7968\u7b2c i \u5929\u7684\u4ef7\u683c\u3002\n\n \u4f60\u53ea\u80fd\u9009\u62e9 \u67d0\u4e00\u5929 \u4e70\u5165\u8fd9\u53ea\u80a1\u7968\uff0c\u5e76\u9009\u62e9\u5728 \u672a\u6765\u7684\u67d0\u4e00\u4e2a\u4e0d\u540c\u7684\u65e5\u5b50 \u5356\u51fa\u8be5\u80a1\u7968\u3002\u8bbe\u8ba1\u4e00\u4e2a\u7b97\u6cd5\u6765\u8ba1\u7b97\u4f60\u6240\u80fd\u83b7\u53d6\u7684\u6700\u5927\u5229\u6da6\u3002\n\n \u8fd4\u56de\u4f60\u53ef\u4ee5\u4ece\u8fd9\u7b14\u4ea4\u6613\u4e2d\u83b7\u53d6\u7684\u6700\u5927\u5229\u6da6\u3002\u5982\u679c\u4f60\u4e0d\u80fd\u83b7\u53d6\u4efb\u4f55\u5229\u6da6\uff0c\u8fd4\u56de 0 \u3002\n\n\n\n \u793a\u4f8b 1\uff1a\n\n \u8f93\u5165\uff1a[7,1,5,3,6,4]\n \u8f93\u51fa\uff1a5\n \u89e3\u91ca\uff1a\u5728\u7b2c 2 \u5929\uff08\u80a1\u7968\u4ef7\u683c = 1\uff09\u7684\u65f6\u5019\u4e70\u5165\uff0c\u5728\u7b2c 5 \u5929\uff08\u80a1\u7968\u4ef7\u683c = 6\uff09\u7684\u65f6\u5019\u5356\u51fa\uff0c\u6700\u5927\u5229\u6da6 = 6-1 = 5 \u3002\n \u6ce8\u610f\u5229\u6da6\u4e0d\u80fd\u662f 7-1 = 6, \u56e0\u4e3a\u5356\u51fa\u4ef7\u683c\u9700\u8981\u5927\u4e8e\u4e70\u5165\u4ef7\u683c\uff1b\u540c\u65f6\uff0c\u4f60\u4e0d\u80fd\u5728\u4e70\u5165\u524d\u5356\u51fa\u80a1\u7968\u3002\n \u793a\u4f8b 2\uff1a\n\n \u8f93\u5165\uff1aprices = [7,6,4,3,1]\n \u8f93\u51fa\uff1a0\n \u89e3\u91ca\uff1a\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b, \u6ca1\u6709\u4ea4\u6613\u5b8c\u6210, \u6240\u4ee5\u6700\u5927\u5229\u6da6\u4e3a 0\u3002\n\n\n \u63d0\u793a\uff1a\n\n 1 <= prices.length <= 10^5\n 0 <= prices[i] <= 10^4\n\n\n * <\/em>@author <\/em><\/strong>zeroheart\n *\n *\/\n<\/em>public class Question121 {\n    public int maxProfit(int[] prices) {\n        \/\/ pre = min, max =  price - min\n\n        int len = prices.length;\n        int pre = prices[0];\n        int max = 0;\n        for(int i = 1; i<len; i++){\n            max = Math.max<\/em>(max, prices[i] - pre);\n            pre = Math.min<\/em>(pre, prices[i]);\n        }\n        return max;\n    }\n\n    public static void main(String[] args) {\n\n    }\n}\n<\/pre>\n\n\n\n
<\/p>\n","protected":false},"excerpt":{"rendered":"
1014. \u6700\u4f73\u89c2\u5149\u7ec4\u5408 \u8fd9\u4e00\u9898\u4f7f\u7528\u5e73\u65f6\u7684\u65b9\u6cd5\uff0c\u4e24\u5c42\u5faa\u73af\u7684\u8bdd\u8d85\u65f6\uff0c\u9700\u8981\u628a\u516c\u5f0f\u8f6c\u6362\u4e00\u4e0b\uff0c\u53ef\u4ee5\u53ea\u904d\u5386\u4e00\u6b21 \/**  […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[155],"tags":[158],"_links":{"self":[{"href":"https:\/\/www.zeroheart.xyz\/wordpress\/index.php?rest_route=\/wp\/v2\/posts\/2597"}],"collection":[{"href":"https:\/\/www.zeroheart.xyz\/wordpress\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.zeroheart.xyz\/wordpress\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.zeroheart.xyz\/wordpress\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.zeroheart.xyz\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2597"}],"version-history":[{"count":6,"href":"https:\/\/www.zeroheart.xyz\/wordpress\/index.php?rest_route=\/wp\/v2\/posts\/2597\/revisions"}],"predecessor-version":[{"id":2603,"href":"https:\/\/www.zeroheart.xyz\/wordpress\/index.php?rest_route=\/wp\/v2\/posts\/2597\/revisions\/2603"}],"wp:attachment":[{"href":"https:\/\/www.zeroheart.xyz\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2597"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.zeroheart.xyz\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2597"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.zeroheart.xyz\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2597"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}