{"id":5750,"date":"2024-04-15T13:43:48","date_gmt":"2024-04-15T05:43:48","guid":{"rendered":"http:\/\/zyg.luchers.cn\/?p=5750"},"modified":"2024-04-15T13:43:48","modified_gmt":"2024-04-15T05:43:48","slug":"%e4%b8%b2%e3%80%81%e6%95%b0%e7%bb%84%e3%80%81%e5%b9%bf%e4%b9%89%e8%a1%a8","status":"publish","type":"post","link":"http:\/\/zyg.luchers.cn\/index.php\/2024\/04\/15\/%e4%b8%b2%e3%80%81%e6%95%b0%e7%bb%84%e3%80%81%e5%b9%bf%e4%b9%89%e8%a1%a8\/","title":{"rendered":"\u4e32\u3001\u6570\u7ec4\u3001\u5e7f\u4e49\u8868"},"content":{"rendered":"

\u7b2c\u4e94\u7ae0\u3001\u4e32\u3001\u6570\u7ec4\u548c\u5e7f\u4e49\u8868<\/h2>\n

\"\"<\/div><\/p>\n

5.1\u3001\u4e32\uff08\u4e5f\u53eb\u5b57\u7b26\u4e32\uff09<\/h3>\n

5.5.1\u3001\u4e32\u7684\u5b9a\u4e49\u2014\u51e0\u4e2a\u672f\u8bed<\/h4>\n

1\u3001\u5b9a\u4e49<\/p>\n

\"image-20240415001525796\"<\/div><\/p>\n

\"image-20240415001714800\"<\/div><\/p>\n

2\u3001\u5b50\u4e32\uff1a\u4e00\u4e2a\u4e32\u4e2d\u4efb\u610f\u4e2a\u8fde\u7eed\u5b57\u7b26\u7ec4\u6210\u7684\u5b50\u5e8f\u5217\uff08\u542b\u7a7a\u4e32\uff09\u79f0\u4e3a\u8be5\u4e32\u7684\u5b50\u4e32<\/p>\n

3\u3001\u771f\u5b50\u4e32\uff1a\u662f\u6307\u4e0d\u5305\u542b\u81ea\u8eab\u7684\u6240\u6709\u5b50\u4e32<\/p>\n

4\u3001\u4e3b\u4e32\uff1a\u5305\u542b\u5b50\u4e32\u7684\u4e32<\/p>\n

5\u3001\u5b57\u7b26\u4f4d\u7f6e\uff1a\u5b57\u7b26\u5728\u5e8f\u5217\u4e2d\u7684\u5e8f\u53f7\u4e3a\u8be5\u5b57\u7b26\u5728\u4e32\u4e2d\u7684\u4f4d\u7f6e<\/p>\n

6\u3001\u5b50\u4e32\u4f4d\u7f6e\uff1a\u5b50\u4e32\u7b2c\u4e00\u4e2a\u5b57\u7b26\u5728\u4e3b\u4e32\u4e2d\u7684\u4f4d\u7f6e<\/p>\n

7\u3001\u7a7a\u683c\u4e32\uff1a\u7531\u4e00\u4e2a\u6216\u591a\u4e2a\u7a7a\u683c\u7ec4\u6210\u7684\u4e32\uff0c\u4e0e\u7a7a\u4e32\u4e0d\u540c<\/p>\n

8\u3001\u4f8b\u5b50<\/p>\n

\"image-20240415001754802\"<\/div><\/p>\n

9\u3001\u4e32\u76f8\u7b49\uff1a\u957f\u5ea6\u76f8\u7b49\uff0c\u5404\u4e2a\u5bf9\u5e94\u4f4d\u7f6e\u4e0a\u7684\u5b57\u7b26\u90fd\u76f8\u540c\u3002<\/p>\n

10\u3001\u6240\u6709\u7684\u7a7a\u4e32\u90fd\u662f\u76f8\u7b49\u7684<\/p>\n

5.2\u3001\u6848\u4f8b\u5f15\u5165<\/h3>\n

1\u3001\u975e\u6570\u503c\u5904\u7406\u3002\u4f8b\u5982\uff1a\u6587\u5b57\u7f16\u5199\uff0c\u7b26\u53f7\u5904\u7406\uff0c\u4fe1\u606f\u5904\u7406\u7cfb\u7edf<\/p>\n

2\u3001\u5b57\u7b26\u4e32\u67e5\u627e<\/p>\n

5.3\u3001\u4e32\u7684\u7c7b\u578b\u5b9a\u4e49\u3001\u5b58\u50a8\u7ed3\u6784\u53ca\u8fd0\u7b97<\/h3>\n

5.3.1\u3001\u5b57\u7b26\u4e32\u7684\u7c7b\u578b\u5b9a\u4e49<\/h4>\n

1\u3001compareTo()\uff1a\u6309\u5b57\u5178\u987a\u5e8f\u6bd4\u8f83\u4e24\u4e2a\u5b57\u7b26\u4e32\u5927\u5c0f<\/p>\n

\uff081\uff09\u4f8b\u5b50\uff1a<\/p>\n

String a = "Hello Word";\nString b = "hello word";\nSystem.out.println(a.compareTo(b));<\/code><\/pre>\n
2\u3001compareToIgnoreCase()\uff1a\u548c\u4e0a\u9762\u4e00\u6837\uff0c\u5ffd\u7565\u5927\u5c0f\u5199<\/p>\n
3\u3001length()\uff1a\u6c42\u5b57\u7b26\u4e32\u7684\u957f\u5ea6<\/p>\n
\uff081\uff09\u4f8b\u5b50\uff1a<\/p>\n
String a = "Hello Word!";\nSystem.out.println(a.length);<\/code><\/pre>\n
4\u3001concat() \uff1a\u8fde\u63a5\u4e24\u4e2a\u5b57\u7b26\u4e32<\/p>\n
\uff081\uff09\u4f8b\u5b50\uff1a<\/p>\n
String a = "Hello Word";\nString b = "\u4f60\u597d";\nSystem.out.println(b.concat(a));<\/code><\/pre>\n
5\u3001subString()\uff1a\u622a\u53d6\u5b57\u7b26\u4e32<\/p>\n
\uff081\uff09\u4f8b\u5b50\uff1a<\/p>\n
String a = "Hello Word";\nSystem.out.println(a.substring(0, 2));<\/code><\/pre>\n
6\u3001copyValueOf() :\u590d\u5236\u5b57\u7b26\u4e32<\/p>\n
\uff081\uff09\u4f8b\u5b50\uff1a<\/p>\n
char[] Str1 = {'h','b'};\n        String Str2 = "";\n        Str2 = Str2.copyValueOf( Str1 );\n        System.out.println("\u8fd4\u56de\u7ed3\u679c\uff1a" + Str2);<\/code><\/pre>\n
7\u3001isEmpty()\uff1a\u5224\u65ad\u5b57\u7b26\u4e32\u662f\u5426\u4e3a\u7a7a<\/p>\n
\uff081\uff09\u4f8b\u5b50\uff1a<\/p>\n
String myStr2 = "";\nSystem.out.println("myStr2 \u662f\u5426\u4e3a\u7a7a\uff1a" + myStr2.isEmpty());<\/code><\/pre>\n
8\u3001indexOf(String str, int fromIndex)\uff1a
\n\u8fd4\u56de\u6307\u5b9a\u5b50\u5b57\u7b26\u4e32\u5728\u6b64\u5b57\u7b26\u4e32\u4e2d\u7b2c\u4e00\u6b21\u51fa\u73b0\u5904\u7684\u7d22\u5f15\uff0c\u4ece\u6307\u5b9a\u7684\u7d22\u5f15\u5f00\u59cb\u3002<\/p>\n
\uff081\uff09\u4f8b\u5b50\uff1a<\/p>\n
String string = "aaa456ac"; \nSystem.out.println(string.indexOf("b")); \/\/ indexOf(String str); \u8fd4\u56de\u7ed3\u679c\uff1a-1\uff0c"b"\u4e0d\u5b58\u5728  <\/code><\/pre>\n
9\u3001replace() \uff1a\u66ff\u6362<\/p>\n
String a = "Hello Word";\nString b = "\u4f60\u597d";\nSystem.out.println(a.replace(a, b));<\/code><\/pre>\n
10\u3001insert()\uff1a\u4efb\u610f\u4f4d\u7f6e\u6dfb\u52a0<\/p>\n
\uff081\uff09\u4f8b\u5b50\uff1a<\/p>\n
StringBuffer stringBuilder1=new StringBuffer("20180918");\nstringBuilder1.insert(6,"-");\nstringBuilder1.insert(4,"-");<\/code><\/pre>\n
5.3.2\u3001\u4e32\u7684\u5b58\u50a8\u7ed3\u6784<\/h4>\n
\"image-20240415001847421\"<\/div><\/p>\n
1\u3001\u987a\u5e8f\u5b58\u50a8\u7ed3\u6784<\/h5>\n
1\u3001\u4f7f\u7528\u6570\u7ec4\u4f5c\u4e3a\u5bb9\u5668<\/p>\n
2\u3001\u5b9a\u4e49\u957f\u5ea6\uff0c\u8bbe\u7f6e\u53d8\u91cf<\/p>\n
3\u3001java\u4ee3\u7801\u5b9e\u73b0<\/p>\n
public class SeqString {\n    \/* \u5b58\u653e\u5b57\u7b26\u5143\u7d20\u7684\u6570\u7ec4 *\/\n    char[] data = new char[10];\n    \/* \u5b9e\u9645\u4e32\u957f *\/\n    int curlen = 0; \n}<\/code><\/pre>\n
2\u3001\u94fe\u5f0f\u5b58\u50a8\u7ed3\u6784<\/h5>\n
1\u3001\u4e32\u5b58\u50a8\u5bc6\u5ea6\u8f83\u4f4e\uff0c\u5b57\u7b26\u5b58\u50a8\u4e00\u4e2a\u5b57\u8282\uff0c\u4e0b\u4e00\u4e2a\u5730\u5740\u5b58\u50a84\u4e2a\u5b57\u8282<\/p>\n
2\u3001\u89e3\u51b3\u65b9\u6cd5\u554a\uff0c\u5b58\u50a8\u533a\u5757\uff08\u591a\u4e2a\u5b57\u7b26\u4e00\u8d77\u5b58\u50a8\uff09<\/p>\n
3\u3001\u793a\u610f\u56fe<\/p>\n
\"image-20240415001911733\"<\/div><\/p>\n
4\u3001java\u4ee3\u7801\u5b9e\u73b0<\/p>\n
public class LinkString {\n    \/\/ \u5934\u7ed3\u70b9\n    Node head = new Node();\n    \/\/ \u5b9e\u9645\u8868\u957f\n    int curlen;\n\n\/\/ \u7ed3\u70b9\u5185\u90e8\u7c7b\uff0c\u4e5f\u9614\u4ee5\u8bbe\u7f6e\u5355\u72ec\u7c7b\nprivate class Node {\n    public char c;\n    public Node next;\n\n    public Node() {\n        c = null;\n        next = null;\n    }\n}\n}<\/code><\/pre>\n
5.3.3\u3001\u4e32\u7684\u6a21\u5f0f\u5339\u914d\u7b97\u6cd5\uff08BF)<\/h4>\n
1\u3001\u7b97\u6cd5\u76ee\u7684\uff1a\u786e\u5b9a\u4e3b\u4e32\u4e2d\u6240\u542b\u5b50\u4e32\uff08\u6a21\u5f0f\u4e32\uff09\u7b2c\u4e00\u6b21\u51fa\u73b0\u7684\u4f4d\u7f6e\uff08\u5b9a\u4f4d\uff09<\/p>\n
2\u3001\u7b97\u6cd5\u5e94\u7528
\n\uff081\uff09\u641c\u7d22\u5f15\u64ce\u3001\u62fc\u5199\u68c0\u67e5\u3001\u8bed\u8a00\u7ffb\u8bd1\u3001\u6570\u636e\u538b\u7f29<\/p>\n
\uff082\uff09\u7b97\u6cd5\u79cd\u7c7b<\/p>\n
BF\u7b97\u6cd5\uff08\u66b4\u529b\u7834\u89e3\u6cd5\u3001\u7ecf\u5178\u7684\u3001\u53e4\u5178\u3001\u7a77\u4e3e\u7684\uff09<\/p>\n
KMP\u7b97\u6cd5\uff08\u7279\u70b9\uff1a\u901f\u5ea6\u5feb\uff09<\/p>\n
1\u3001BF\u7b97\u6cd5<\/h5>\n
1\u3001Brute-Force\uff1a\u7b80\u79f0BF\u7b97\u6cd5\uff0c\u7b80\u5355\u5339\u914d\u7b97\u6cd5\uff0c\u91c7\u7528\u7a77\u4e3e\u7684\u601d\u60f3\u3002<\/p>\n
2\u3001\u7b97\u6cd5\u601d\u8def\uff1a\u4eceS\u7684\u6bcf\u4e00\u4e2a\u5b57\u7b26\u5f00\u59cb\u4f9d\u6b21\u4e0eT\u7684\u5b57\u7b26\u8fdb\u884c\u5339\u914d\u3002<\/p>\n
3\u3001\u793a\u610f\u56fe<\/p>\n
\"image-20240415001936103\"<\/div><\/p>\n
4\u3001\u5339\u914d\u5931\u8d25<\/p>\n
\uff081\uff09 i=i-j+2=2(\u56de\u6eaf)<\/p>\n
\uff082\uff09 j=1(\u4ece\u5934\u5f00\u59cb)<\/p>\n
\uff083\uff09\u5176\u4e2di\u662f\u76ee\u6807\u4e32\u7684\u4f4d\u7f6e\uff0cj\u662f\u4e3b\u4e32\u7684\u4f4d\u7f6e<\/p>\n
5\u3001\u5339\u914d\u6210\u529f<\/p>\n
\uff081\uff09\u8fd4\u56de\uff1ai-t.length=3<\/p>\n
\uff082\uff09\u4f8b\u5b50<\/p>\n
\"image-20240415001950299\"<\/div><\/p>\n
6\u3001\u603b\u7ed3\uff1aIndex\uff08S,T,pos)<\/p>\n
\uff081\uff09\u5c06\u4e3b\u4e32\u7684\u7b2cpos\u4e2a\u5b57\u7b26\u548c\u6a21\u5f0f\u4e32\u7684\u7b2c\u4e00\u5b57\u7b26\u6bd4\u8f83<\/p>\n
\uff082\uff09\u82e5\u76f8\u7b49\uff0c\u7ee7\u7eed\u9010\u4e2a\u6bd4\u8f83\u540e\u7eed\u5b57\u7b26<\/p>\n
\uff083\uff09\u82e5\u4e0d\u7b49\uff0c\u4ece\u4e3b\u4e32\u7684\u4e0b\u4e00\u4e2a\u5b57\u7b26\u8d77\uff0c\u51fa\u73b0\u4e0e\u6a21\u5f0f\u4e32\u7684\u7b2c\u4e00\u4e2a\u5b57\u7b26\u6bd4\u8f83\u3002<\/p>\n
7\u3001\u7ed3\u679c<\/p>\n
\"image-20240415002059705\"<\/div><\/p>\n
2\u3001BF\u7b97\u6cd5\u5b9e\u73b0<\/h5>\n
1\u3001java\u4ee3\u7801\u5b9e\u73b0<\/p>\n
public class BF01 {\n    \/**\n     * str\u4e3b\u4e32\n     * sub\u5b50\u4e32\n     * pos\u8981\u627e\u7684\u4f4d\u7f6e\n     *\/\n    public static int BF01(String str ,String sub,int pos){\n        int strlen = str.length();\n        int sublen = sub.length();\n\/\/        \u5bf9pos\u5408\u6cd5\u5224\u65ad\n        if(pos<1 || pos>strlen){\n            return -1;\n        }\n        int i = pos;\/\/\u904d\u5386\u4e3b\u4e32\n        int j = 0;\/\/\u904d\u5386\u5b50\u4e32\n        while ( i<strlen && j< sublen){\n            if(str.charAt(i)==sub.charAt(j)){\/\/\u6bd4\u8f83i\u548cj\u662f\u5426\u76f8\u7b49\n                i++;\n                j++;\n            }else {\/\/\u4e0d\u76f8\u7b49\u5219\u91cd\u7f6e\uff0cj\u3002\u5e76\u8bbe\u7f6ei\n                i = i-j +1;\n                j=0;\n            }\n        }\n        if(j>=sublen){\/\/\u5982\u679c\u5339\u914d\u6210\u529f\uff0c\u8fd4\u56dei\u7684\u8d77\u59cb\u4f4d\u7f6e\n            return  i-j;\n        }else {\/\/\u6ca1\u627e\u5230\n            return -1;\n        }\n    }\n}<\/code><\/pre>\n
3\u3001\u65f6\u95f4\u590d\u6742\u5ea6\u3001\u7a7a\u95f4\u590d\u6742\u5ea6<\/h5>\n
1\u3001\u65f6\u95f4\u590d\u6742\u5ea6<\/p>\n
\uff081\uff09\u5b9a\u4e49n\u4e3a\u4e3b\u4e32\u957f\u5ea6\uff0cm\u4e3a\u5b50\u4e32\u957f\u5ea6<\/p>\n
\uff082\uff09\u516c\u5f0f<\/p>\n
\"image-20240415002122892\"<\/div><\/p>\n
\uff083\uff09\u7406\u89e3\uff0c\u4e3b\u4e32-\u5b50\u4e32\u7684\u957f\u5ea6\uff0c\u90fd\u8981\u548c\u5b50\u4e32m\u8fdb\u884c\u6bd4\u8f83\uff0c\u5e76\u4e14\u6700\u540e\u4e00\u6b21\u4e5f\u6bd4\u8f83\uff0c+1<\/p>\n
5.3.4\u3001KMP\u7b97\u6cd5<\/h4>\n
1\u3001\u7b97\u6cd5\u8bbe\u8ba1\u601d\u8def<\/h5>\n
\"image-20240415002141087\"<\/div><\/p>\n
2\u3001\u7406\u89e3<\/p>\n
\uff081\uff09next[j] = \u6bd4\u8f83\u6700\u5927\u516c\u7ea6\u6570+1<\/p>\n
\uff082\uff09\u56fe\u793a<\/p>\n
\"image-20240415002153631\"<\/div><\/p>\n
2\u3001java\u4ee3\u7801\u5b9e\u73b0<\/h5>\n
public class KMP02 {\n    \/**\n     * O(m+n)\n     *\n     * @param str \u76ee\u6807\u4e32\n     * @param sub \u6a21\u5f0f\u4e32\n     * @return \u5982\u679c\u5339\u914d\u6210\u529f\uff0c\u8fd4\u56de\u4e0b\u6807\uff0c\u5426\u5219\u8fd4\u56de-1\n     *\/\n    static int kmpSearch(String str, String sub) {\n        int strLen = str.length();\n        int subLen = sub.length();\n        if (strLen < subLen) {\/\/\u5224\u65ad\u6a21\u5f0f\u4e32\u662f\u5426\u5927\u4e8e\u76ee\u6807\u4e32\n            return -1;\n        }\n\n        int[] next = getNext(sub);\n        \/\/ matching: O(n)\n        int i = 0, j = 0;\n        while (i < strLen && j < subLen) {\n            \/\/\u2460\u5982\u679cj = -1\uff0c\u6216\u8005\u5f53\u524d\u5b57\u7b26\u5339\u914d\u6210\u529f\uff08\u5373str[i] == sub[j]\uff09\uff0c\u90fd\u4ee4i++\uff0cj++\n            if (j == -1 || str.charAt(i) == sub.charAt(j)) {\n                i++;\n                j++;\n            } else {\n                \/\/\u2461\u5982\u679cj != -1\uff0c\u4e14\u5f53\u524d\u5b57\u7b26\u5339\u914d\u5931\u8d25\uff08\u5373str[i] != sub[j]\uff09\uff0c\u5219\u4ee4 i \u4e0d\u53d8\uff0cj = next[j]\n                \/\/next[j]\u5373\u4e3aj\u6240\u5bf9\u5e94\u7684next\u503c\n                j = next[j];\n            }\n        }\n        if (j == subLen) {\n            return i - j;\n        } else {\n            return -1;\n        }\n    }\n\n    \/**\n     * Table building: O(m)\n     *\n     * @param sub \u5339\u914d\u4e32\n     * @return\n     *\/\n    private static int[] getNext(String sub) {\n        int len = sub.length();\n        int[] next = new int[len];\n        next[0] = -1;\n        int i = 0, k = -1;\n        while (i < len - 1) {\n            \/\/ p[k]\u8868\u793a\u524d\u7f00\uff0cp[i]\u8868\u793a\u540e\u7f00\n            if (k == -1 || sub.charAt(i) == sub.charAt(k)) {\n                ++k;\n                ++i;\n                next[i] = k;\n            } else {\n                k = next[k];\n            }\n        }\n        return next;\n    }\n}<\/code><\/pre>\n
5.4\u3001\u6570\u7ec4<\/h3>\n
5.4.1\u3001\u4e00\u7ef4\u6570\u7ec4\u6982\u5ff5<\/h4>\n
\"image-20240415002218371\"<\/div><\/p>\n
5.4.2\u3001\u4e8c\u7ef4\u6570\u7ec4\u6982\u5ff5<\/h4>\n
\"image-20240415002258076\"<\/div><\/p>\n
1\u3001\u58f0\u660e\u683c\u5f0f\uff1a\u6570\u636e\u7c7b\u578b \u53d8\u91cf\u540d\u79f0 \u3010\u884c\u6570\u3011 \u3010\u5217\u6570\u3011;<\/p>\n
2\u3001\u7406\u89e3\uff1a\u4e8c\u7ef4\u6570\u7ec4\u5c31\u662f\u4e00\u7ef4\u6570\u7ec4\u4e2d\u7684\u5143\u7d20\u662f\u4e00\u4e2a\u4e00\u7ef4\u6570\u7ec4<\/p>\n
3\u3001\u6570\u7ec4\u7684\u7279\u70b9\uff1a\u7ed3\u6784\u56fa\u5b9a\u2014\u5b9a\u4e49\u540e\uff0c\u7ef4\u6570\u548c\u7ef4\u754c\u4e0d\u518d\u6539\u53d8\u3002<\/p>\n
4\u3001\u6570\u7ec4\u7684\u57fa\u672c\u64cd\u4f5c\uff1a\u7ed3\u6784\u521d\u59cb\u5316\u3001\u548c\u9500\u6bc1\u3001\u53d6\u5143\u7d20\u3001\u4fee\u6539\u5143\u7d20<\/p>\n
5.4.3\u3001\u6570\u7ec4\u7684\u62bd\u8c61\u6570\u636e\u7c7b\u578b\u5b9a\u4e49<\/h4>\n
1\u3001\u57fa\u672c\u64cd\u4f5c<\/h5>\n
1\u3001\u6784\u9020\u6570\u7ec4<\/p>\n
2\u3001\u9500\u6bc1\u6570\u7ec4<\/p>\n
3\u3001\u53d6\u51fa\u6570\u7ec4\u5143\u7d20<\/p>\n
4\u3001\u7ed9\u6570\u7ec4\u5143\u7d20\u8d4b\u503c<\/p>\n
5\u3001\u4e00\u822c\u4e0d\u505a\u63d2\u5165\u548c\u5220\u9664\u64cd\u4f5c<\/p>\n
6\u3001java\u4ee3\u7801\u5b9e\u73b0\uff08\u4e0d\u662f\u91cd\u70b9\uff09<\/p>\n
package Array_;\n\npublic class Array01 {\n    private int [] data;\/\/\u5b58\u653e\u6570\u636e\n    private int size;\/\/\u8ba1\u6570\u5668\n\n\/\/    \u6570\u7ec4\u521d\u59cb\u5316,\u6784\u9020\u5668\n\n    public Array01( int capacity){\n        data = new int[capacity];\/\/\u5b9a\u4e49\u521d\u59cb\u5316\n        size = 0;\n    }\n\/\/    \u83b7\u53d6\u5c3a\u5bf8\n    public int getSize(){\n        return size;\n    }\n\n\/\/    \u83b7\u53d6\u6570\u7ec4\u7684\u5bb9\u91cf\n    public  int getCapacity(){\n        return data.length;\/\/\n    }\n\/\/    \u5224\u65ad\u5f53\u524d\u6570\u7ec4\u662f\u5426\u4e3a\u7a7a\n    public boolean isEmpty(){\n        if (size==0){\n            return  true;\n        }\n        return false;\n    }\n\n}<\/code><\/pre>\n
5.4.4\u3001\u6570\u7ec4\u7684\u987a\u5e8f\u5b58\u50a8<\/h4>\n
\"image-20240415002342172\"<\/div><\/p>\n
1\u3001\u4e24\u79cd\u987a\u5e8f\u5b58\u50a8\u65b9\u5f0f<\/h5>\n
\"image-20240415002401349\"<\/div><\/p>\n
\"image-20240415002413940\"<\/div><\/p>\n
1\u3001\u4ee5\u884c\u5e8f\u4e3a\u4e3b\u5e8f\uff08\u56fe\u89e3\uff09<\/p>\n
\"image-20240415002426249\"<\/div><\/p>\n
2\u3001\u4ee5\u5217\u5e8f\u4e3a\u4e3b\u5e8f\uff08\u56fe\u89e3\uff09<\/p>\n
\"image-20240415002440226\"<\/div><\/p>\n
2\u3001\u4e8c\u7ef4\u6570\u7ec4\u7684\u884c\u5e8f\u4f18\u5148\u8868\u793a<\/h5>\n
1\u3001\u4ee5\u884c\u5e8f\u4e3a\u4e3b\u5e8f\uff0c\u8ba1\u7b97a[i][j]\u5b58\u50a8\u4f4d\u7f6e<\/p>\n
\"image-20240415002541608\"<\/div><\/p>\n
5.4.4\u3001\u4e09\u7ef4\u6570\u7ec4<\/h4>\n
1\u3001\u7406\u89e3<\/h5>\n
\"image-20240415002655780\"<\/div><\/p>\n
2\u3001n\u7ef4\u6570\u7ec4<\/h5>\n
\"image-20240415002753955\"<\/div><\/p>\n
5.4.5\u3001\u7279\u6b8a\u77e9\u9635\u7684\u538b\u7f29\u5b58\u50a8<\/h4>\n
1\u3001\u4ecb\u7ecd\u548c\u7279\u70b9<\/h5>\n
\"image-20240415002834458\"<\/div><\/p>\n
2\u3001\u538b\u7f29\u5b58\u50a8<\/p>\n
\uff081\uff09\u591a\u4e2a\u6570\u636e\u5143\u7d20\u7684\u503c\u76f8\u540c\uff0c\u5219\u53ea\u5206\u914d\u4e00\u4e2a\u5143\u7d20\u503c\u7684\u5b58\u50a8\u7a7a\u95f4\uff0c\u4e140\u5143\u7d20\u4e0d\u5360\u5b58\u50a8\u7a7a\u95f4<\/p>\n
3\u3001\u4ec0\u4e48\u6837\u7684\u77e9\u5f62\u80fd\u591f\u538b\u7f29\uff1f<\/p>\n
\uff081\uff09\u5bf9\u79f0\u77e9\u9635\u3001\u5bf9\u89d2\u77e9\u9635\u3001\u4e09\u89d2\u77e9\u9635\u3001\u7a00\u758f\u77e9\u9635<\/p>\n
2\u3001\u5bf9\u79f0\u77e9\u5f62<\/h5>\n
1\u3001\u7279\u70b9\u548c\u5b58\u50a8\u65b9\u6cd5\uff08n\u4e3a\u884c\uff09<\/p>\n
\"image-20240415002845246\"<\/div><\/p>\n
2\u3001\u5224\u65ad<\/p>\n
\uff081\uff09\u8bbe\u7f6ei\u4e3a\u884c\uff0cj\u4e3a\u5217<\/p>\n
\uff082\uff09\u5f53i>=j\u65f6\uff08\u884c\u5927\u4e8e\u5217\uff09\uff1ai*(i-1)\/2+j-1<\/p>\n
\uff083\uff09\u5f53j>=i\u65f6\uff08\u884c\u5927\u4e8e\u5217\uff09\uff1a j*(j-1)\/2+i-1<\/p>\n
3\u3001\u4f8b\u5b50<\/p>\n
package Array_;\n\npublic class SMA02 {\n    public static void main(String[] args) {\n        SMA02 matrix = new SMA02();\n        matrix.init();\n        matrix.printMatrix();\n        matrix.printSA();\n        int result = matrix.find(0, 0);\n        System.out.println();\n        System.out.println(result);\n    }\n        private static final int  N = 3;\/\/\u8fd9\u4e2a\u662f\u9636\u5c42\n        int[][] a = new int[N][N];\/\/\u6570\u7ec4\u5143\u7d20\u7684\u5177\u4f53\u4f4d\u7f6e\n        int[] SA = new int[N * (N + 1) \/ 2];\/\/\u7528\u4e8e\u5b58\u50a8\u6570\u7ec4\u5143\u7d20\n        public void init(){\/\/\u6839\u636e\u521d\u59cb\u5316\u6570\u7ec4SA\n            for(int i=0; i<N; i++){\n                for(int j=0;j<=i;j++){\n                    a[i][j] = a[j][i] = i+j;\/\/\u4e09\u8005\u76f8\u7b49\n                }\n            }\n            int count = 0;\n            for(int i=0;i<N; i++){\n                for(int j=0;j<=i;j++){\n                    SA[count] = a[i][j];\n                    count++;\n                }\n            }\n        }\n        public void  printMatrix(){\/\/public printMatrix \u6253\u5370\u5bf9\u79f0\u77e9\u9635\n            for(int i=0; i<N; i++){\n                for(int j=0;j<N;j++){\n                    System.out.print(a[i][j]+" ");\n                }\n                System.out.println();\n            }\n        }\n        public int find(int i,int j){\/\/public find(int i, int j) \u67e5\u627e\u77e9\u9635\u4e2d\u7b2ci\u884c\u7b2cj\u5217\u7684\u5143\u7d20\uff0c\u67e5\u627e\u5bf9\u8c61SA\n            return SA[i*(i+1)\/2+j];\n        }\n        public void printSA(){\n            for (int i : SA) {\n                System.out.print(i+" ");\n            }\n        }\n\n    }<\/code><\/pre>\n
3\u3001\u4e09\u89d2\u77e9\u9635<\/h5>\n
\"image-20240415002906626\"<\/div><\/p>\n
5.5\u3001\u5e7f\u4e49\u8868<\/h3>\n
1\u3001\u5e7f\u4e49\u8868\u53c8\u79f0\u4e3a\uff08List\uff09\u662fn>=0\u7684\u5143\u7d20a1~an\u7684\u6709\u9650\u5e8f\u5217\uff0c\u5176\u4e2d\u6bcf\u4e00\u4e2aai\u6216\u8005\u662f\u539f\u5b50\uff0c\u6216\u8005\u662f\u4e00\u4e2a\u5e7f\u4e49\u8868<\/p>\n
2\u3001\u62d3\u5bbd\u7684\u7ebf\u6027\u8868\u5c31\u662f\u5e7f\u4e49\u8868<\/p>\n
5.5.1\u3001\u5e7f\u4e49\u8868\u6982\u5ff5<\/h4>\n
1\u3001\u6982\u5ff5<\/h5>\n
\"image-20240415002932468\"<\/div><\/p>\n
2\u3001\u6027\u8d28<\/h5>\n
1\u3001\u5e7f\u4e49\u8868\u7684\u4e2d\u7684\u6570\u636e\u5143\u7d20\u662f\u76f8\u5bf9\u6b21\u5e8f\uff1b\u6709\u4e00\u4e2a\u76f4\u63a5\u524d\u9a71\u548c\u4e00\u4e2a\u76f4\u63a5\u540e\u7ee7\u3002<\/p>\n
2\u3001\u5e7f\u4e49\u8868\u7684\u957f\u5ea6\u5b9a\u4e49\u4e3a\u6700\u5916\u5c42\u6240\u5305\u542b\u7684\u5143\u7d20\u4e2a\u6570\u3002<\/p>\n
3\u3001\u5e7f\u4e49\u8868\u7684\u6df1\u5ea6\u5b9a\u4e49\u4e3a\u8be5\u5e7f\u4e49\u8868\u5c55\u5f00\u540e\u6240\u542b\u62ec\u53f7\u7684\u91cd\u6570\u3002<\/p>\n
4\u3001\u5e7f\u4e49\u8868\u53ef\u4ee5\u4e3a\u5176\u4ed6\u5e7f\u4e49\u8868\u6240\u5171\u4eab\u3002<\/p>\n
5\u3001\u5e7f\u4e49\u8868\u53ef\u4ee5\u662f\u4e00\u4e2a\u9012\u5f52\u7684\u8868\u3002<\/p>\n
6\u3001\u9012\u5f52\u8868\u7684\u6df1\u5ea6\u662f\u65e0\u7a77\u503c\uff0c\u957f\u5ea6\u662f\u6709\u9650\u7684\u3002<\/p>\n
7\u3001\u5e7f\u4e49\u8868\u662f\u591a\u5c42\u6b21\u7ed3\u6784\uff0c\u5e7f\u4e49\u8868\u7684\u5143\u7d20\u53ef\u4ee5\u662f\u5355\u5143\u7d20\uff0c\u591a\u5143\u7d20\uff0c\u6216\u8005\u662f\u4e00\u4e2a\u5e7f\u4e49\u8868\u3002<\/p>\n
5.5.2\u3001\u5e7f\u4e49\u8868\u4e0e\u7ebf\u6027\u8868\u7684\u533a\u522b<\/h4>\n
1\u3001\u5e7f\u4e49\u8868\u53ef\u4ee5\u770b\u6210\u662f\u7ebf\u6027\u8868\u7684\u63a8\u5e7f\u3001\u7ebf\u6027\u8868\u662f\u5e7f\u4e49\u8868\u7684\u7279\u4f8b\u3002<\/p>\n
\uff081\uff09\u5e7f\u4e49\u8868\u76f8\u5f53\u7075\u6d3b\uff0c\u517c\u5bb9\u7ebf\u6027\u8868\u3001\u6570\u7ec4\u3001\u6811\u3001\u548c\u6709\u5411\u56fe\u7b49\u3002<\/p>\n
2\u3001\u4e8c\u7ef4\u6570\u7ec4\u7684\u6bcf\u884c\uff08\u6216\u6bcf\u5217\uff09\u4f5c\u4e3a\u5b57\u8868\u5904\u7406\u65f6\uff0c\u4e8c\u7ef4\u6570\u7ec4\u5373\u4e3a\u4e00\u4e2a\u5e7f\u4e49\u8868\u3002<\/p>\n
3\u3001\u6570\u548c\u6709\u5411\u56fe\u4e5f\u53ef\u4ee5\u7528\u5e7f\u4e49\u8868\u8868\u793a\u3002<\/p>\n
5.5.3\u3001\u5e7f\u4e49\u8868\u7684\u57fa\u672c\u8fd0\u7b97<\/h4>\n
1\u3001\u6c42\u8868\u5934<\/h5>\n
1\u3001\u975e\u7a7a\u5e7f\u4e49\u8868\u7684\u7b2c\u4e00\u4e2a\u5143\u7d20\uff0c\u53ef\u4ee5\u662f\u4e2a\u5143\u7d20\uff0c\u4e5f\u53ef\u4ee5\u662f\u4e00\u4e2a\u5b57\u8868\u3002<\/p>\n
2\u3001\u6c42\u8868\u5c3e<\/h5>\n
1\u3001\u975e\u7a7a\u5e7f\u4e49\u8868\u9664\u53bb\u8868\u5934\u5143\u7d20\u4ee5\u5916\u5143\u7d20\u6240\u6784\u6210\u7684\u8868\uff0c\u8868\u5c3e\u4e00\u5b9a\u662f\u4e00\u4e2a\u8868\u3002<\/p>\n
3\u3001\u4f8b\u5b50<\/h5>\n
\"image-20240415003036156\"<\/div><\/p>\n
5.5.4\u3001\u5e7f\u4e49\u8868\u7684\u94fe\u5f0f\u5b58\u50a8<\/h4>\n
5.5.5\u3001\u6848\u4f8b\u5206\u6790\u4e0e\u5b9e\u73b0<\/h4>\n
1\u3001\u6848\u4f8b\uff1a\u75c5\u6bd2\u611f\u67d3\u68c0\u6d4b<\/h5>\n
\"image-20240415003110819\"<\/div><\/p>\n
2\u3001\u5206\u6790<\/h5>\n
1\u3001\u56e0\u4e3a\u662f\u7531\u4e00\u4e9b\u5b57\u7b26\u4e32\u7ec4\u6210\u7684\u5e8f\u5217\uff0c\u76f8\u5f53\u4e8e\u5339\u914d\u5b57\u7b26\u4e32\u6a21\u5f0f\u3002<\/p>\n
2\u3001\u53ef\u4ee5\u5229\u7528BF\u7b97\u6cd5\uff0c\u6216\u8005KMP\u7b97\u6cd5\u3002<\/p>\n
3\u3001\u672c\u6b21\u75c5\u6bd2\u7684DNA\u662f\u73af\u72b6\u7684\u3002<\/p>\n
4\u3001\u9700\u8981\u5bf9\u4f20\u7edf\u7684KMP\u548cBF\u7b97\u6cd5\u6539\u8fdb\u3002<\/p>\n
3\u3001\u89e3\u6790<\/h5>\n
\"image-20240415003130885\"<\/div><\/p>\n
4\u3001java\u5b9e\u73b0\uff08\u5f85\u505a\uff09<\/h5>\n","protected":false},"excerpt":{"rendered":"
\u7b2c\u4e94\u7ae0\u3001\u4e32\u3001\u6570\u7ec4\u548c\u5e7f\u4e49\u8868 5.1\u3001\u4e32\uff08\u4e5f\u53eb\u5b57\u7b26\u4e32\uff09 5.5.1\u3001\u4e32\u7684\u5b9a\u4e49\u2014\u51e0\u4e2a\u672f\u8bed 1\u3001\u5b9a\u4e49 2\u3001\u5b50\u4e32\uff1a\u4e00\u4e2a\u4e32 […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[22],"tags":[],"class_list":["post-5750","post","type-post","status-publish","format-standard","hentry","category-22"],"_links":{"self":[{"href":"http:\/\/zyg.luchers.cn\/index.php\/wp-json\/wp\/v2\/posts\/5750","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/zyg.luchers.cn\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/zyg.luchers.cn\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/zyg.luchers.cn\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/zyg.luchers.cn\/index.php\/wp-json\/wp\/v2\/comments?post=5750"}],"version-history":[{"count":1,"href":"http:\/\/zyg.luchers.cn\/index.php\/wp-json\/wp\/v2\/posts\/5750\/revisions"}],"predecessor-version":[{"id":5751,"href":"http:\/\/zyg.luchers.cn\/index.php\/wp-json\/wp\/v2\/posts\/5750\/revisions\/5751"}],"wp:attachment":[{"href":"http:\/\/zyg.luchers.cn\/index.php\/wp-json\/wp\/v2\/media?parent=5750"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/zyg.luchers.cn\/index.php\/wp-json\/wp\/v2\/categories?post=5750"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/zyg.luchers.cn\/index.php\/wp-json\/wp\/v2\/tags?post=5750"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}