{"id":57,"date":"2013-12-14T14:29:07","date_gmt":"2013-12-14T14:29:07","guid":{"rendered":""},"modified":"2013-12-14T14:29:07","modified_gmt":"2013-12-14T14:29:07","slug":"","status":"publish","type":"post","link":"http:\/\/weizn.net\/?p=57","title":{"rendered":"\u5feb\u901f\u6392\u5e8f"},"content":{"rendered":"

\u5feb\u901f\u6392\u5e8f\u7531\u4e8e\u6392\u5e8f\u6548\u7387\u5728\u540c\u4e3a<\/span>O(N*logN)<\/span><\/span>\u7684\u51e0\u79cd\u6392\u5e8f\u65b9\u6cd5\u4e2d\u6548\u7387\u8f83\u9ad8\uff0c\u56e0\u6b64\u7ecf\u5e38\u88ab\u91c7\u7528\uff0c\u518d\u52a0\u4e0a\u5feb\u901f\u6392\u5e8f\u601d\u60f3<\/span>—-<\/span><\/span>\u5206\u6cbb\u6cd5\u4e5f\u786e\u5b9e\u5b9e\u7528\uff0c\u56e0\u6b64\u5f88\u591a\u8f6f\u4ef6\u516c\u53f8\u7684\u7b14\u8bd5\u9762\u8bd5\uff0c\u5305\u62ec\u50cf\u817e\u8baf\uff0c\u5fae\u8f6f\u7b49\u77e5\u540d<\/span>IT<\/span><\/span>\u516c\u53f8\u90fd\u559c\u6b22\u8003\u8fd9\u4e2a\uff0c\u8fd8\u6709\u5927\u5927\u5c0f\u7684\u7a0b\u5e8f\u65b9\u9762\u7684\u8003\u8bd5\u5982\u8f6f\u8003\uff0c\u8003\u7814\u4e2d\u4e5f\u5e38\u5e38\u51fa\u73b0\u5feb\u901f\u6392\u5e8f\u7684\u8eab\u5f71\u3002<\/span><\/p>\n

<\/o:p><\/span> <\/p>\n

\u603b\u7684\u8bf4\u6765\uff0c\u8981\u76f4\u63a5\u9ed8\u5199\u51fa\u5feb\u901f\u6392\u5e8f\u8fd8\u662f\u6709\u4e00\u5b9a\u96be\u5ea6\u7684\uff0c\u56e0\u4e3a\u672c\u4eba\u5c31\u81ea\u5df1\u7684\u7406\u89e3\u5bf9\u5feb\u901f\u6392\u5e8f\u4f5c\u4e86\u4e0b\u767d\u8bdd\u89e3\u91ca\uff0c\u5e0c\u671b\u5bf9\u5927\u5bb6\u7406\u89e3\u6709\u5e2e\u52a9\uff0c\u8fbe\u5230\u5feb\u901f\u6392\u5e8f\uff0c\u5feb\u901f\u641e\u5b9a\u3002<\/span><\/o:p><\/span><\/p>\n

 <\/span><\/o:p><\/span><\/p>\n

\u5feb\u901f\u6392\u5e8f\u662f<\/span>C.R.A.Hoare<\/span><\/span>\u4e8e<\/span>1962<\/span><\/span>\u5e74\u63d0\u51fa\u7684\u4e00\u79cd\u5212\u5206\u4ea4\u6362\u6392\u5e8f\u3002\u5b83\u91c7\u7528\u4e86\u4e00\u79cd\u5206\u6cbb\u7684\u7b56\u7565\uff0c\u901a\u5e38\u79f0\u5176\u4e3a\u5206\u6cbb\u6cd5<\/span>(Divide-and-ConquerMethod)<\/span><\/span>\u3002<\/span><\/o:p><\/span><\/p>\n

\u8be5\u65b9\u6cd5\u7684\u57fa\u672c\u601d\u60f3\u662f\uff1a<\/span><\/o:p><\/span><\/p>\n

1\uff0e<\/span><\/span><\/span>\u5148\u4ece\u6570\u5217\u4e2d\u53d6\u51fa\u4e00\u4e2a\u6570\u4f5c\u4e3a\u57fa\u51c6\u6570\u3002<\/span><\/o:p><\/span><\/p>\n

2\uff0e<\/span><\/span><\/span>\u5206\u533a\u8fc7\u7a0b\uff0c\u5c06\u6bd4\u8fd9\u4e2a\u6570\u5927\u7684\u6570\u5168\u653e\u5230\u5b83\u7684\u53f3\u8fb9\uff0c\u5c0f\u4e8e\u6216\u7b49\u4e8e\u5b83\u7684\u6570\u5168\u653e\u5230\u5b83\u7684\u5de6\u8fb9\u3002<\/span><\/o:p><\/span><\/p>\n

3\uff0e<\/span><\/span><\/span>\u518d\u5bf9\u5de6\u53f3\u533a\u95f4\u91cd\u590d\u7b2c\u4e8c\u6b65\uff0c\u76f4\u5230\u5404\u533a\u95f4\u53ea\u6709\u4e00\u4e2a\u6570\u3002<\/span><\/o:p><\/span><\/p>\n

 <\/span><\/o:p><\/span><\/p>\n

\u867d\u7136\u5feb\u901f\u6392\u5e8f\u79f0\u4e3a\u5206\u6cbb\u6cd5\uff0c\u4f46\u5206\u6cbb\u6cd5\u8fd9\u4e09\u4e2a\u5b57\u663e\u7136\u65e0\u6cd5\u5f88\u597d\u7684\u6982\u62ec\u5feb\u901f\u6392\u5e8f\u7684\u5168\u90e8\u6b65\u9aa4\u3002\u56e0\u6b64\u6211\u7684\u5bf9\u5feb\u901f\u6392\u5e8f\u4f5c\u4e86\u8fdb\u4e00\u6b65\u7684\u8bf4\u660e\uff1a<\/span>\u6316\u5751\u586b\u6570<\/span>+<\/span><\/span>\u5206\u6cbb\u6cd5\uff1a<\/span><\/o:p><\/span><\/p>\n

\u5148\u6765\u770b\u5b9e\u4f8b\u5427\uff0c\u5b9a\u4e49\u4e0b\u9762\u518d\u7ed9\u51fa\uff08\u6700\u597d\u80fd\u7528\u81ea\u5df1\u7684\u8bdd\u6765\u603b\u7ed3\u5b9a\u4e49\uff0c\u8fd9\u6837\u5bf9\u5b9e\u73b0\u4ee3\u7801\u4f1a\u6709\u5e2e\u52a9\uff09\u3002<\/span><\/o:p><\/span><\/p>\n

 <\/span><\/o:p><\/span><\/p>\n

\u4ee5\u4e00\u4e2a\u6570\u7ec4\u4f5c\u4e3a\u793a\u4f8b\uff0c\u53d6\u533a\u95f4\u7b2c\u4e00\u4e2a\u6570\u4e3a\u57fa\u51c6\u6570\u3002<\/span><\/o:p><\/span><\/p>\n\n\n\n\n
\n

0<\/span><\/span><\/p>\n<\/td>\n

\n

1<\/span><\/span><\/p>\n<\/td>\n

\n

2<\/span><\/span><\/p>\n<\/td>\n

\n

3<\/span><\/span><\/p>\n<\/td>\n

\n

4<\/span><\/span><\/p>\n<\/td>\n

\n

5<\/span><\/span><\/p>\n<\/td>\n

\n

6<\/span><\/span><\/p>\n<\/td>\n

\n

7<\/span><\/span><\/p>\n<\/td>\n

\n

8<\/span><\/span><\/p>\n<\/td>\n

\n

9<\/span><\/span><\/p>\n<\/td>\n<\/tr>\n

\n

72<\/span><\/span><\/p>\n<\/td>\n

\n

6<\/span><\/span><\/p>\n<\/td>\n

\n

57<\/span><\/span><\/p>\n<\/td>\n

\n

88<\/span><\/span><\/p>\n<\/td>\n

\n

60<\/span><\/span><\/p>\n<\/td>\n

\n

42<\/span><\/span><\/p>\n<\/td>\n

\n

83<\/span><\/span><\/p>\n<\/td>\n

\n

73<\/span><\/span><\/p>\n<\/td>\n

\n

48<\/span><\/span><\/p>\n<\/td>\n

\n

85<\/span><\/span><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

\u521d\u59cb\u65f6\uff0c<\/span>i = 0;  <\/span>j = 9;   <\/span>X = a[i] = 72<\/span><\/span><\/p>\n

\u7531\u4e8e\u5df2\u7ecf\u5c06<\/span>a[0]<\/span><\/span>\u4e2d\u7684\u6570\u4fdd\u5b58\u5230<\/span>X<\/span><\/span>\u4e2d\uff0c\u53ef\u4ee5\u7406\u89e3\u6210\u5728\u6570\u7ec4<\/span>a[0]<\/span><\/span>\u4e0a\u6316\u4e86\u4e2a\u5751\uff0c\u53ef\u4ee5\u5c06\u5176\u5b83\u6570\u636e\u586b\u5145\u5230\u8fd9\u6765\u3002<\/span><\/o:p><\/span><\/p>\n

\u4ece<\/span>j<\/span><\/span>\u5f00\u59cb\u5411\u524d\u627e\u4e00\u4e2a\u6bd4<\/span>X<\/span><\/span>\u5c0f\u6216\u7b49\u4e8e<\/span>X<\/span><\/span>\u7684\u6570\u3002\u5f53<\/span>j=8<\/span><\/span>\uff0c\u7b26\u5408\u6761\u4ef6\uff0c\u5c06<\/span>a[8]<\/span><\/span>\u6316\u51fa\u518d\u586b\u5230\u4e0a\u4e00\u4e2a\u5751<\/span>a[0]<\/span><\/span>\u4e2d\u3002<\/span>a[0]=a[8]; i++;  <\/span><\/span><\/span>\u8fd9\u6837\u4e00\u4e2a\u5751<\/span>a[0]<\/span><\/span>\u5c31\u88ab\u641e\u5b9a\u4e86\uff0c\u4f46\u53c8\u5f62\u6210\u4e86\u4e00\u4e2a\u65b0\u5751<\/span>a[8]<\/span><\/span>\uff0c\u8fd9\u600e\u4e48\u529e\u4e86\uff1f\u7b80\u5355\uff0c\u518d\u627e\u6570\u5b57\u6765\u586b<\/span>a[8]<\/span><\/span>\u8fd9\u4e2a\u5751\u3002\u8fd9\u6b21\u4ece<\/span>i<\/span><\/span>\u5f00\u59cb\u5411\u540e\u627e\u4e00\u4e2a\u5927\u4e8e<\/span>X<\/span><\/span>\u7684\u6570\uff0c\u5f53<\/span>i=3<\/span><\/span>\uff0c\u7b26\u5408\u6761\u4ef6\uff0c\u5c06<\/span>a[3]<\/span><\/span>\u6316\u51fa\u518d\u586b\u5230\u4e0a\u4e00\u4e2a\u5751\u4e2d<\/span>a[8]=a[3]; j–; <\/o:p><\/span><\/span><\/p>\n

 <\/span><\/o:p><\/span><\/span><\/p>\n

\u6570\u7ec4\u53d8\u4e3a\uff1a<\/span><\/o:p><\/span><\/p>\n\n\n\n\n
\n

0<\/span><\/span><\/p>\n<\/td>\n

\n

1<\/span><\/span><\/p>\n<\/td>\n

\n

2<\/span><\/span><\/p>\n<\/td>\n

\n

3<\/span><\/span><\/p>\n<\/td>\n

\n

4<\/span><\/span><\/p>\n<\/td>\n

\n

5<\/span><\/span><\/p>\n<\/td>\n

\n

6<\/span><\/span><\/p>\n<\/td>\n

\n

7<\/span><\/span><\/p>\n<\/td>\n

\n

8<\/span><\/span><\/p>\n<\/td>\n

\n

9<\/span><\/span><\/p>\n<\/td>\n<\/tr>\n

\n

48<\/span><\/span><\/p>\n<\/td>\n

\n

6<\/span><\/span><\/p>\n<\/td>\n

\n

57<\/span><\/span><\/p>\n<\/td>\n

\n

88<\/span><\/span><\/p>\n<\/td>\n

\n

60<\/span><\/span><\/p>\n<\/td>\n

\n

42<\/span><\/span><\/p>\n<\/td>\n

\n

83<\/span><\/span><\/p>\n<\/td>\n

\n

73<\/span><\/span><\/p>\n<\/td>\n

\n

88<\/span><\/span><\/p>\n<\/td>\n

\n

85<\/span><\/span><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/span>i = 3;   <\/span>j = 7;   <\/span>X=72<\/span><\/span><\/p>\n

\u518d\u91cd\u590d\u4e0a\u9762\u7684\u6b65\u9aa4\uff0c\u5148\u4ece\u540e\u5411\u524d\u627e\uff0c\u518d\u4ece\u524d\u5411\u540e\u627e<\/b>\u3002<\/span><\/o:p><\/span><\/p>\n

\u4ece<\/span>j<\/span><\/span>\u5f00\u59cb\u5411\u524d\u627e\uff0c\u5f53<\/span>j=5<\/span><\/span>\uff0c\u7b26\u5408\u6761\u4ef6\uff0c\u5c06<\/span>a[5]<\/span><\/span>\u6316\u51fa\u586b\u5230\u4e0a\u4e00\u4e2a\u5751\u4e2d\uff0c<\/span>a[3] = a[5]; i++;<\/o:p><\/span><\/span><\/p>\n

\u4ece<\/span>i<\/span><\/span>\u5f00\u59cb\u5411\u540e\u627e\uff0c\u5f53<\/span>i=5<\/span><\/span>\u65f6\uff0c\u7531\u4e8e<\/span>i==j<\/span><\/span>\u9000\u51fa\u3002<\/span><\/o:p><\/span><\/p>\n

\u6b64\u65f6\uff0c<\/span>i = j = 5<\/span><\/span>\uff0c\u800c<\/span>a[5]<\/span><\/span>\u521a\u597d\u53c8\u662f\u4e0a\u6b21\u6316\u7684\u5751\uff0c\u56e0\u6b64\u5c06<\/span>X<\/span><\/span>\u586b\u5165<\/span>a[5]<\/span><\/span>\u3002<\/span><\/o:p><\/span><\/p>\n

 <\/span><\/o:p><\/span><\/p>\n

\u6570\u7ec4\u53d8\u4e3a\uff1a<\/span><\/o:p><\/span><\/p>\n\n\n\n\n
\n

0<\/span><\/span><\/p>\n<\/td>\n

\n

1<\/span><\/span><\/p>\n<\/td>\n

\n

2<\/span><\/span><\/p>\n<\/td>\n

\n

3<\/span><\/span><\/p>\n<\/td>\n

\n

4<\/span><\/span><\/p>\n<\/td>\n

\n

5<\/span><\/span><\/p>\n<\/td>\n

\n

6<\/span><\/span><\/p>\n<\/td>\n

\n

7<\/span><\/span><\/p>\n<\/td>\n

\n

8<\/span><\/span><\/p>\n<\/td>\n

\n

9<\/span><\/span><\/p>\n<\/td>\n<\/tr>\n

\n

48<\/span><\/span><\/p>\n<\/td>\n

\n

6<\/span><\/span><\/p>\n<\/td>\n

\n

57<\/span><\/span><\/p>\n<\/td>\n

\n

42<\/span><\/span><\/p>\n<\/td>\n

\n

60<\/span><\/span><\/p>\n<\/td>\n

\n

72<\/span><\/span><\/p>\n<\/td>\n

\n

83<\/span><\/span><\/p>\n<\/td>\n

\n

73<\/span><\/span><\/p>\n<\/td>\n

\n

88<\/span><\/span><\/p>\n<\/td>\n

\n

85<\/span><\/span><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

\u53ef\u4ee5\u770b\u51fa<\/span>a[5]<\/span><\/span>\u524d\u9762\u7684\u6570\u5b57\u90fd\u5c0f\u4e8e\u5b83\uff0c<\/span>a[5]<\/span><\/span>\u540e\u9762\u7684\u6570\u5b57\u90fd\u5927\u4e8e\u5b83\u3002\u56e0\u6b64\u518d\u5bf9<\/span>a[0\u20264]<\/span><\/span>\u548c<\/span>a[6\u20269]<\/span><\/span>\u8fd9\u4e8c\u4e2a\u5b50\u533a\u95f4\u91cd\u590d\u4e0a\u8ff0\u6b65\u9aa4\u5c31\u53ef\u4ee5\u4e86\u3002<\/span><\/o:p><\/span><\/p>\n

 <\/span><\/o:p><\/span><\/p>\n

 <\/span><\/o:p><\/span><\/p>\n

\u5bf9<\/span>\u6316\u5751\u586b\u6570\u8fdb\u884c\u603b\u7ed3<\/span><\/p>\n

1\uff0e<\/span><\/span>i =L; j = R; <\/span><\/span>\u5c06\u57fa\u51c6\u6570\u6316\u51fa\u5f62\u6210\u7b2c\u4e00\u4e2a\u5751<\/span>a[i]<\/span><\/span>\u3002<\/span><\/o:p><\/span><\/p>\n

2\uff0e<\/span><\/span>j–<\/span><\/span>\u7531\u540e\u5411\u524d\u627e\u6bd4\u5b83\u5c0f\u7684\u6570\uff0c\u627e\u5230\u540e\u6316\u51fa\u6b64\u6570\u586b\u524d\u4e00\u4e2a\u5751<\/span>a[i]<\/span><\/span>\u4e2d\u3002<\/span><\/o:p><\/span><\/p>\n

3\uff0e<\/span><\/span>i++<\/span><\/span>\u7531\u524d\u5411\u540e\u627e\u6bd4\u5b83\u5927\u7684\u6570\uff0c\u627e\u5230\u540e\u4e5f\u6316\u51fa\u6b64\u6570\u586b\u5230\u524d\u4e00\u4e2a\u5751<\/span>a[j]<\/span><\/span>\u4e2d\u3002<\/span><\/o:p><\/span><\/p>\n

4\uff0e<\/span><\/span><\/span>\u518d\u91cd\u590d\u6267\u884c<\/span>2<\/span><\/span>\uff0c<\/span>3<\/span><\/span>\u4e8c\u6b65\uff0c\u76f4\u5230<\/span>i==j<\/span><\/span>\uff0c\u5c06\u57fa\u51c6\u6570\u586b\u5165<\/span>a[i]<\/span><\/span>\u4e2d\u3002<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"

\u5feb\u901f\u6392\u5e8f\u7531\u4e8e\u6392\u5e8f\u6548\u7387\u5728\u540c\u4e3a<\/span>O(N*logN)<\/span><\/span>\u7684\u51e0\u79cd\u6392\u5e8f\u65b9\u6cd5\u4e2d\u6548\u7387\u8f83\u9ad8\uff0c\u56e0\u6b64\u7ecf\u5e38\u88ab\u91c7\u7528\uff0c\u518d\u52a0\u4e0a\u5feb\u901f\u6392\u5e8f\u601d\u60f3<\/span>—-<\/span><\/span>\u5206\u6cbb\u6cd5\u4e5f\u786e\u5b9e\u5b9e\u7528\uff0c\u56e0\u6b64\u5f88\u591a\u8f6f\u4ef6\u516c\u53f8\u7684\u7b14\u8bd5\u9762\u8bd5\uff0c\u5305\u62ec\u50cf\u817e\u8baf\uff0c\u5fae\u8f6f\u7b49\u77e5\u540d<\/span>IT<\/span><\/span>\u516c\u53f8\u90fd\u559c\u6b22\u8003\u8fd9\u4e2a\uff0c\u8fd8\u6709\u5927\u5927\u5c0f\u7684\u7a0b\u5e8f\u65b9\u9762\u7684\u8003\u8bd5\u5982\u8f6f\u8003\uff0c\u8003\u7814\u4e2d\u4e5f\u5e38\u5e38\u51fa\u73b0\u5feb\u901f\u6392\u5e8f\u7684\u8eab\u5f71\u3002<\/span><\/p>\n

<\/span> <\/p>\n

\u603b\u7684\u8bf4\u6765\uff0c\u8981\u76f4\u63a5\u9ed8\u5199\u51fa\u5feb\u901f\u6392\u5e8f\u8fd8\u662f\u6709\u4e00\u5b9a\u96be\u5ea6\u7684\uff0c\u56e0\u4e3a\u672c\u4eba\u5c31\u81ea\u5df1\u7684\u7406\u89e3\u5bf9\u5feb\u901f\u6392\u5e8f\u4f5c\u4e86\u4e0b\u767d\u8bdd\u89e3\u91ca\uff0c\u5e0c\u671b\u5bf9\u5927\u5bb6\u7406\u89e3\u6709\u5e2e\u52a9\uff0c\u8fbe\u5230…<\/span><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[326],"tags":[],"class_list":["post-57","post","type-post","status-publish","format-standard","hentry"],"yoast_head":"\n\u5feb\u901f\u6392\u5e8f - Wayne's Blog<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"http:\/\/weizn.net\/?p=57\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u5feb\u901f\u6392\u5e8f - 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