{"id":2865,"date":"2022-04-18T23:18:42","date_gmt":"2022-04-18T15:18:42","guid":{"rendered":"https:\/\/www.zeroheart.xyz\/wordpress\/?p=2865"},"modified":"2022-04-18T23:18:42","modified_gmt":"2022-04-18T15:18:42","slug":"dp%e7%ac%ac19%e5%a4%a9","status":"publish","type":"post","link":"https:\/\/www.zeroheart.xyz\/wordpress\/?p=2865","title":{"rendered":"dp\u7b2c19\u5929"},"content":{"rendered":"\n

392. \u5224\u65ad\u5b50\u5e8f\u5217<\/a><\/p>\n\n\n\n


\/**
<\/em> *
<\/em> 392. \u5224\u65ad\u5b50\u5e8f\u5217
<\/em> \u7ed9\u5b9a\u5b57\u7b26\u4e32 s \u548c t \uff0c\u5224\u65ad s \u662f\u5426\u4e3a t \u7684\u5b50\u5e8f\u5217\u3002
<\/em>
<\/em> \u5b57\u7b26\u4e32\u7684\u4e00\u4e2a\u5b50\u5e8f\u5217\u662f\u539f\u59cb\u5b57\u7b26\u4e32\u5220\u9664\u4e00\u4e9b\uff08\u4e5f\u53ef\u4ee5\u4e0d\u5220\u9664\uff09\u5b57\u7b26\u800c\u4e0d\u6539\u53d8\u5269\u4f59\u5b57\u7b26\u76f8\u5bf9\u4f4d\u7f6e\u5f62\u6210\u7684\u65b0\u5b57\u7b26\u4e32\u3002\uff08\u4f8b\u5982\uff0c\"ace\"\u662f\"abcde\"\u7684\u4e00\u4e2a\u5b50\u5e8f\u5217\uff0c\u800c\"aec\"\u4e0d\u662f\uff09\u3002
<\/em>
<\/em> \u8fdb\u9636\uff1a
<\/em>
<\/em> \u5982\u679c\u6709\u5927\u91cf\u8f93\u5165\u7684 S\uff0c\u79f0\u4f5c S1, S2, ... , Sk \u5176\u4e2d k >= 10\u4ebf\uff0c\u4f60\u9700\u8981\u4f9d\u6b21\u68c0\u67e5\u5b83\u4eec\u662f\u5426\u4e3a T \u7684\u5b50\u5e8f\u5217\u3002\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u4f60\u4f1a\u600e\u6837\u6539\u53d8\u4ee3\u7801\uff1f
<\/em>
<\/em> \u81f4\u8c22\uff1a
<\/em>
<\/em> \u7279\u522b\u611f\u8c22 @pbrother \u6dfb\u52a0\u6b64\u95ee\u9898\u5e76\u4e14\u521b\u5efa\u6240\u6709\u6d4b\u8bd5\u7528\u4f8b\u3002
<\/em>
<\/em>
<\/em>
<\/em> \u793a\u4f8b 1\uff1a
<\/em>
<\/em> \u8f93\u5165\uff1as = \"abc\", t = \"ahbgdc\"
<\/em> \u8f93\u51fa\uff1atrue
<\/em> \u793a\u4f8b 2\uff1a
<\/em>
<\/em> \u8f93\u5165\uff1as = \"axc\", t = \"ahbgdc\"
<\/em> \u8f93\u51fa\uff1afalse
<\/em>
<\/em>
<\/em> \u63d0\u793a\uff1a
<\/em>
<\/em> 0 <= s.length <= 100
<\/em> 0 <= t.length <= 10^4
<\/em> \u4e24\u4e2a\u5b57\u7b26\u4e32\u90fd\u53ea\u7531\u5c0f\u5199\u5b57\u7b26\u7ec4\u6210\u3002
<\/em>
<\/em>
<\/em> * <\/em>@author <\/em><\/strong>zeroheart
<\/em> *
<\/em> *\/
<\/em>public class Question392 {

   public boolean isSubsequence(String s, String t) {
      \/\/ \u8fd9\u9898\u4e5f\u4e0d\u7528dp\u4e86\u5427\u3002\u3002
      int sl = s.length();
      int tl = t.length();

      int i = 0;
      int j = 0;
      while (i<sl && j<tl){
         if(s.charAt(i) == t.charAt(j)){
            i++;
            j++;
         }else {
            j++;
         }
      }

      return i == sl;

   }

   public static void main(String args[]){
   }
}<\/pre>\n\n\n\n
1143. \u6700\u957f\u516c\u5171\u5b50\u5e8f\u5217<\/a><\/p>\n\n\n\n
\u8fd9\u4e5f\u662f\u7ecf\u5178\u9898\u76ee<\/p>\n\n\n\n
dp[i][j] \u8868\u793a\u7684\u662f0-i\u548c0-j\u7684\u6700\u957f\u516c\u5171\u5b57\u4e32<\/p>\n\n\n\n
\u9012\u63a8\u516c\u5f0f\uff1a<\/p>\n\n\n\n
if(text1.charAt(i-1) == text2.charAt(j-1)){\n               dp[i][j] = dp[i-1][j-1] + 1;\n            }else {\n               dp[i][j] = Math.max<\/em>(dp[i-1][j], dp[i][j-1]);\n            }<\/code><\/pre>\n\n\n\n

\/**
<\/em> *
<\/em> 1143. \u6700\u957f\u516c\u5171\u5b50\u5e8f\u5217
<\/em> \u7ed9\u5b9a\u4e24\u4e2a\u5b57\u7b26\u4e32 text1 \u548c text2\uff0c\u8fd4\u56de\u8fd9\u4e24\u4e2a\u5b57\u7b26\u4e32\u7684\u6700\u957f \u516c\u5171\u5b50\u5e8f\u5217 \u7684\u957f\u5ea6\u3002\u5982\u679c\u4e0d\u5b58\u5728 \u516c\u5171\u5b50\u5e8f\u5217 \uff0c\u8fd4\u56de 0 \u3002
<\/em>
<\/em> \u4e00\u4e2a\u5b57\u7b26\u4e32\u7684 \u5b50\u5e8f\u5217 \u662f\u6307\u8fd9\u6837\u4e00\u4e2a\u65b0\u7684\u5b57\u7b26\u4e32\uff1a\u5b83\u662f\u7531\u539f\u5b57\u7b26\u4e32\u5728\u4e0d\u6539\u53d8\u5b57\u7b26\u7684\u76f8\u5bf9\u987a\u5e8f\u7684\u60c5\u51b5\u4e0b\u5220\u9664\u67d0\u4e9b\u5b57\u7b26\uff08\u4e5f\u53ef\u4ee5\u4e0d\u5220\u9664\u4efb\u4f55\u5b57\u7b26\uff09\u540e\u7ec4\u6210\u7684\u65b0\u5b57\u7b26\u4e32\u3002
<\/em>
<\/em> \u4f8b\u5982\uff0c\"ace\" \u662f \"abcde\" \u7684\u5b50\u5e8f\u5217\uff0c\u4f46 \"aec\" \u4e0d\u662f \"abcde\" \u7684\u5b50\u5e8f\u5217\u3002
<\/em> \u4e24\u4e2a\u5b57\u7b26\u4e32\u7684 \u516c\u5171\u5b50\u5e8f\u5217 \u662f\u8fd9\u4e24\u4e2a\u5b57\u7b26\u4e32\u6240\u5171\u540c\u62e5\u6709\u7684\u5b50\u5e8f\u5217\u3002
<\/em>
<\/em>
<\/em>
<\/em> \u793a\u4f8b 1\uff1a
<\/em>
<\/em> \u8f93\u5165\uff1atext1 = \"abcde\", text2 = \"ace\"
<\/em> \u8f93\u51fa\uff1a3
<\/em> \u89e3\u91ca\uff1a\u6700\u957f\u516c\u5171\u5b50\u5e8f\u5217\u662f \"ace\" \uff0c\u5b83\u7684\u957f\u5ea6\u4e3a 3 \u3002
<\/em> \u793a\u4f8b 2\uff1a
<\/em>
<\/em> \u8f93\u5165\uff1atext1 = \"abc\", text2 = \"abc\"
<\/em> \u8f93\u51fa\uff1a3
<\/em> \u89e3\u91ca\uff1a\u6700\u957f\u516c\u5171\u5b50\u5e8f\u5217\u662f \"abc\" \uff0c\u5b83\u7684\u957f\u5ea6\u4e3a 3 \u3002
<\/em> \u793a\u4f8b 3\uff1a
<\/em>
<\/em> \u8f93\u5165\uff1atext1 = \"abc\", text2 = \"def\"
<\/em> \u8f93\u51fa\uff1a0
<\/em> \u89e3\u91ca\uff1a\u4e24\u4e2a\u5b57\u7b26\u4e32\u6ca1\u6709\u516c\u5171\u5b50\u5e8f\u5217\uff0c\u8fd4\u56de 0 \u3002
<\/em>
<\/em>
<\/em> \u63d0\u793a\uff1a
<\/em>
<\/em> 1 <= text1.length, text2.length <= 1000
<\/em> text1 \u548c text2 \u4ec5\u7531\u5c0f\u5199\u82f1\u6587\u5b57\u7b26\u7ec4\u6210\u3002
<\/em>
<\/em> * <\/em>@author <\/em><\/strong>zeroheart
<\/em> *
<\/em> *\/
<\/em>public class Question1143 {

   public int longestCommonSubsequence(String text1, String text2) {
      \/\/ dp[i][j] \u8868\u793a\u7684\u662f0-i\u548c0-j\u7684\u6700\u957f\u516c\u5171\u5b57\u4e32
      int len1 = text1.length();
      int len2 = text2.length();

      int[][] dp = new int[len1+1][len2+1];

      for(int i = 1; i<len1; i++){
         for(int j = 1; j<len2; j++){
            if(text1.charAt(i-1) == text2.charAt(j-1)){
               dp[i][j] = dp[i-1][j-1] + 1;
            }else {
               dp[i][j] = Math.max<\/em>(dp[i-1][j], dp[i][j-1]);
            }
         }
      }

      return dp[len1][len2];
   }

   public static void main(String args[]){
   }
}<\/pre>\n\n\n\n
<\/p>\n","protected":false},"excerpt":{"rendered":"
392. \u5224\u65ad\u5b50\u5e8f\u5217 \/** * 392. \u5224\u65ad\u5b50\u5e8f\u5217 \u7ed9\u5b9a\u5b57\u7b26\u4e32 s \u548c t \uff0c\u5224\u65ad s \u662f\u5426\u4e3a t \u7684\u5b50\u5e8f […]<\/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\/2865"}],"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=2865"}],"version-history":[{"count":5,"href":"https:\/\/www.zeroheart.xyz\/wordpress\/index.php?rest_route=\/wp\/v2\/posts\/2865\/revisions"}],"predecessor-version":[{"id":2870,"href":"https:\/\/www.zeroheart.xyz\/wordpress\/index.php?rest_route=\/wp\/v2\/posts\/2865\/revisions\/2870"}],"wp:attachment":[{"href":"https:\/\/www.zeroheart.xyz\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2865"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.zeroheart.xyz\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2865"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.zeroheart.xyz\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2865"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}