{"id":2604,"date":"2022-04-05T17:26:26","date_gmt":"2022-04-05T09:26:26","guid":{"rendered":"https:\/\/www.zeroheart.xyz\/wordpress\/?p=2604"},"modified":"2022-04-05T17:31:40","modified_gmt":"2022-04-05T09:31:40","slug":"dp%e7%ac%ac%e5%85%ab%e5%a4%a9","status":"publish","type":"post","link":"https:\/\/www.zeroheart.xyz\/wordpress\/?p=2604","title":{"rendered":"dp\u7b2c\u516b\u5929"},"content":{"rendered":"\n

309. \u6700\u4f73\u4e70\u5356\u80a1\u7968\u65f6\u673a\u542b\u51b7\u51bb\u671f<\/a><\/p>\n\n\n\n

\u8fd9\u4e00\u9898\u589e\u52a0\u4e86\u72b6\u6001\uff0c\u6bd4\u4e4b\u524d\u591a\u4e86\u4e00\u4e2a\u51b7\u51bb\u7684\u6982\u5ff5<\/p>\n\n\n\n

\/**
<\/em> 309. \u6700\u4f73\u4e70\u5356\u80a1\u7968\u65f6\u673a\u542b\u51b7\u51bb\u671f
<\/em> \u7ed9\u5b9a\u4e00\u4e2a\u6574\u6570\u6570\u7ec4prices\uff0c\u5176\u4e2d\u7b2c  prices[i] \u8868\u793a\u7b2c i \u5929\u7684\u80a1\u7968\u4ef7\u683c \u3002\u200b
<\/em>
<\/em> \u8bbe\u8ba1\u4e00\u4e2a\u7b97\u6cd5\u8ba1\u7b97\u51fa\u6700\u5927\u5229\u6da6\u3002\u5728\u6ee1\u8db3\u4ee5\u4e0b\u7ea6\u675f\u6761\u4ef6\u4e0b\uff0c\u4f60\u53ef\u4ee5\u5c3d\u53ef\u80fd\u5730\u5b8c\u6210\u66f4\u591a\u7684\u4ea4\u6613\uff08\u591a\u6b21\u4e70\u5356\u4e00\u652f\u80a1\u7968\uff09:
<\/em>
<\/em> \u5356\u51fa\u80a1\u7968\u540e\uff0c\u4f60\u65e0\u6cd5\u5728\u7b2c\u4e8c\u5929\u4e70\u5165\u80a1\u7968 (\u5373\u51b7\u51bb\u671f\u4e3a 1 \u5929)\u3002
<\/em> \u6ce8\u610f\uff1a\u4f60\u4e0d\u80fd\u540c\u65f6\u53c2\u4e0e\u591a\u7b14\u4ea4\u6613\uff08\u4f60\u5fc5\u987b\u5728\u518d\u6b21\u8d2d\u4e70\u524d\u51fa\u552e\u6389\u4e4b\u524d\u7684\u80a1\u7968\uff09\u3002
<\/em>
<\/em>
<\/em>
<\/em> \u793a\u4f8b 1:
<\/em>
<\/em> \u8f93\u5165: prices = [1,2,3,0,2]
<\/em> \u8f93\u51fa: 3
<\/em> \u89e3\u91ca: \u5bf9\u5e94\u7684\u4ea4\u6613\u72b6\u6001\u4e3a: [\u4e70\u5165, \u5356\u51fa, \u51b7\u51bb\u671f, \u4e70\u5165, \u5356\u51fa]
<\/em> \u793a\u4f8b 2:
<\/em>
<\/em> \u8f93\u5165: prices = [1]
<\/em> \u8f93\u51fa: 0
<\/em>
<\/em>
<\/em> \u63d0\u793a\uff1a
<\/em>
<\/em> 1 <= prices.length <= 5000
<\/em> 0 <= prices[i] <= 1000
<\/em>
<\/em> * <\/em>@author <\/em><\/strong>zeroheart
<\/em> *
<\/em> *\/
<\/em>public class Question309 {
    public int maxProfit(int[] prices) {
        \/\/ \u4e70\u5165, \u5356\u51fa, \u51b7\u51bb\u671f, \u4e70\u5165, \u5356\u51fa
        int len = prices.length;
        int[][] dp = new int[len][3];
        dp[0][0] = 0;
        dp[0][1] = - prices[0];
        dp[0][2] = 0;
        for(int i=1; i<len; i++){
            dp[i][0] = Math.max<\/em>(dp[i-1][0], dp[i-1][2]);
            dp[i][1] = Math.max<\/em>(dp[i-1][1], dp[i-1][0] - prices[i]);
            dp[i][2] = dp[i-1][1] + prices[i]; \/\/ prices[i-1]; \u8fd9\u91cc\u4e0d\u662fi-1\uff0c\u5f00\u59cb\u6ca1\u53cd\u5e94\u8fc7\u6765\uff0c\u5176\u5b9e\u4eca\u5929\u662f\u51b7\u51bb\u671f\uff0c\u5c31\u662f\u6628\u5929\u6301\u6709\uff0c\u4eca\u5929\u5356\u51fa
        }
        return Math.max<\/em>(dp[len-1][0],dp[len-1][2]);
    }

    public static void main(String[] args) {

    }
}<\/pre>\n\n\n\n
714. \u4e70\u5356\u80a1\u7968\u7684\u6700\u4f73\u65f6\u673a\u542b\u624b\u7eed\u8d39<\/a><\/p>\n\n\n\n
\u505a\u4e86\u4e4b\u524d\u7684\u4f8b\u5b50\uff0c\u8fd9\u9898\u5c31\u6bd4\u8f83\u7b80\u5355\u4e86\uff0c\u6ca1\u6709\u51b7\u51bb\u671f\uff0c\u589e\u52a0\u624b\u7eed\u8d39\uff0c\u53ea\u5728\u5356\u51fa\u65f6\u5019\u9700\u8981\u5904\u7406<\/p>\n\n\n\n

\/**
<\/em> 714. \u4e70\u5356\u80a1\u7968\u7684\u6700\u4f73\u65f6\u673a\u542b\u624b\u7eed\u8d39
<\/em> \u7ed9\u5b9a\u4e00\u4e2a\u6574\u6570\u6570\u7ec4 prices\uff0c\u5176\u4e2d prices[i]\u8868\u793a\u7b2c i \u5929\u7684\u80a1\u7968\u4ef7\u683c \uff1b\u6574\u6570 fee \u4ee3\u8868\u4e86\u4ea4\u6613\u80a1\u7968\u7684\u624b\u7eed\u8d39\u7528\u3002
<\/em>
<\/em> \u4f60\u53ef\u4ee5\u65e0\u9650\u6b21\u5730\u5b8c\u6210\u4ea4\u6613\uff0c\u4f46\u662f\u4f60\u6bcf\u7b14\u4ea4\u6613\u90fd\u9700\u8981\u4ed8\u624b\u7eed\u8d39\u3002\u5982\u679c\u4f60\u5df2\u7ecf\u8d2d\u4e70\u4e86\u4e00\u4e2a\u80a1\u7968\uff0c\u5728\u5356\u51fa\u5b83\u4e4b\u524d\u4f60\u5c31\u4e0d\u80fd\u518d\u7ee7\u7eed\u8d2d\u4e70\u80a1\u7968\u4e86\u3002
<\/em>
<\/em> \u8fd4\u56de\u83b7\u5f97\u5229\u6da6\u7684\u6700\u5927\u503c\u3002
<\/em>
<\/em> \u6ce8\u610f\uff1a\u8fd9\u91cc\u7684\u4e00\u7b14\u4ea4\u6613\u6307\u4e70\u5165\u6301\u6709\u5e76\u5356\u51fa\u80a1\u7968\u7684\u6574\u4e2a\u8fc7\u7a0b\uff0c\u6bcf\u7b14\u4ea4\u6613\u4f60\u53ea\u9700\u8981\u4e3a\u652f\u4ed8\u4e00\u6b21\u624b\u7eed\u8d39\u3002
<\/em>
<\/em>
<\/em>
<\/em> \u793a\u4f8b 1\uff1a
<\/em>
<\/em> \u8f93\u5165\uff1aprices = [1, 3, 2, 8, 4, 9], fee = 2
<\/em> \u8f93\u51fa\uff1a8
<\/em> \u89e3\u91ca\uff1a\u80fd\u591f\u8fbe\u5230\u7684\u6700\u5927\u5229\u6da6:
<\/em> \u5728\u6b64\u5904\u4e70\u5165 prices[0] = 1
<\/em> \u5728\u6b64\u5904\u5356\u51fa prices[3] = 8
<\/em> \u5728\u6b64\u5904\u4e70\u5165 prices[4] = 4
<\/em> \u5728\u6b64\u5904\u5356\u51fa prices[5] = 9
<\/em> \u603b\u5229\u6da6: ((8 - 1) - 2) + ((9 - 4) - 2) = 8
<\/em> \u793a\u4f8b 2\uff1a
<\/em>
<\/em> \u8f93\u5165\uff1aprices = [1,3,7,5,10,3], fee = 3
<\/em> \u8f93\u51fa\uff1a6
<\/em>
<\/em>
<\/em> \u63d0\u793a\uff1a
<\/em>
<\/em> 1 <= prices.length <= 5 * 10^4
<\/em> 1 <= prices[i] < 5 * 10^4
<\/em> 0 <= fee < 5 * 10^4
<\/em>
<\/em>
<\/em> * <\/em>@author <\/em><\/strong>zeroheart
<\/em> *
<\/em> *\/
<\/em>public class Question714 {
    public int maxProfit(int[] prices, int fee) {
        int len = prices.length;
        int[][] dp = new int[len][2];
        dp[0][0] = 0;
        dp[0][1] = -prices[0];

        for(int i=1;i<len;i++){
            dp[i][0] = Math.max<\/em>(dp[i-1][0], dp[i-1][1] + prices[i] - fee);
            dp[i][1] = Math.max<\/em>(dp[i-1][1], dp[i-1][0] - prices[i]);
        }
        return dp[len-1][0];
    }

    public static void main(String[] args) {

    }
}<\/pre>\n\n\n\n
<\/p>\n","protected":false},"excerpt":{"rendered":"
309. \u6700\u4f73\u4e70\u5356\u80a1\u7968\u65f6\u673a\u542b\u51b7\u51bb\u671f \u8fd9\u4e00\u9898\u589e\u52a0\u4e86\u72b6\u6001\uff0c\u6bd4\u4e4b\u524d\u591a\u4e86\u4e00\u4e2a\u51b7\u51bb\u7684\u6982\u5ff5 \/** 309. \u6700\u4f73\u4e70\u5356\u80a1\u7968 […]<\/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":[158,173],"_links":{"self":[{"href":"https:\/\/www.zeroheart.xyz\/wordpress\/index.php?rest_route=\/wp\/v2\/posts\/2604"}],"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=2604"}],"version-history":[{"count":6,"href":"https:\/\/www.zeroheart.xyz\/wordpress\/index.php?rest_route=\/wp\/v2\/posts\/2604\/revisions"}],"predecessor-version":[{"id":2610,"href":"https:\/\/www.zeroheart.xyz\/wordpress\/index.php?rest_route=\/wp\/v2\/posts\/2604\/revisions\/2610"}],"wp:attachment":[{"href":"https:\/\/www.zeroheart.xyz\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2604"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.zeroheart.xyz\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2604"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.zeroheart.xyz\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2604"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}