{"id":89939,"date":"2026-08-04T09:00:42","date_gmt":"2026-08-04T01:00:42","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/89939.html"},"modified":"2026-08-04T09:00:42","modified_gmt":"2026-08-04T01:00:42","slug":"%e6%89%93%e5%8d%a1%e4%bf%a1%e5%a5%a5%e5%88%b7%e9%a2%98%ef%bc%883488%ef%bc%89%e7%94%a8c%e5%ae%9e%e7%8e%b0%e4%bf%a1%e5%a5%a5%e9%a2%98-p10725-gesp202406-%e5%85%ab%e7%ba%a7-%e6%9c%80%e8%bf%9c%e7%82%b9","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/89939.html","title":{"rendered":"\u6253\u5361\u4fe1\u5965\u5237\u9898\uff083488\uff09\u7528C++\u5b9e\u73b0\u4fe1\u5965\u9898 P10725 [GESP202406 \u516b\u7ea7] \u6700\u8fdc\u70b9\u5bf9"},"content":{"rendered":"

P10725 [GESP202406 \u516b\u7ea7] \u6700\u8fdc\u70b9\u5bf9<\/h2>\n

\u9898\u76ee\u80cc\u666f<\/h3>\n

\u5bf9\u5e94\u7684\u9009\u62e9\u3001\u5224\u65ad\u9898：https:\/\/ti.luogu.com.cn\/problemset\/1156<\/p>\n

\u9898\u76ee\u63cf\u8ff0<\/h3>\n

\u5c0f\u6768\u6709\u4e00\u68f5\u5305\u542b <\/p>\n

n<\/p>\n

n<\/p>\n

<\/span><\/span>n<\/span><\/span><\/span><\/span><\/span> \u4e2a\u8282\u70b9\u7684\u6811，\u8fd9\u68f5\u6811\u4e0a\u7684\u4efb\u610f\u4e00\u4e2a\u8282\u70b9\u8981\u4e48\u662f\u767d\u8272，\u8981\u4e48\u662f\u9ed1\u8272\u3002<\/p>\n

\u5c0f\u6768\u60f3\u77e5\u9053\u76f8\u8ddd\u6700\u8fdc\u7684\u4e00\u5bf9\u4e0d\u540c\u989c\u8272\u8282\u70b9\u7684\u8ddd\u79bb\u662f\u591a\u5c11\u3002<\/p>\n

\u8f93\u5165\u683c\u5f0f<\/h3>\n

\u7b2c\u4e00\u884c\u5305\u542b\u4e00\u4e2a\u6b63\u6574\u6570 <\/p>\n

n<\/p>\n

n<\/p>\n

<\/span><\/span>n<\/span><\/span><\/span><\/span><\/span>，\u4ee3\u8868\u6811\u7684\u8282\u70b9\u6570\u3002<\/p>\n

\u7b2c\u4e8c\u884c\u5305\u542b <\/p>\n

n<\/p>\n

n<\/p>\n

<\/span><\/span>n<\/span><\/span><\/span><\/span><\/span> \u4e2a\u975e\u8d1f\u6574\u6570 <\/p>\n

a<\/p>\n

1<\/p>\n

,<\/p>\n

a<\/p>\n

2<\/p>\n

,<\/p>\n

\u22ef
\n \u2009<\/p>\n

,<\/p>\n

a<\/p>\n

n<\/p>\n

a_1,a_2,\\\\cdots,a_n<\/p>\n

<\/span><\/span>a<\/span><\/span>1<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>,<\/span><\/span>a<\/span><\/span>2<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>,<\/span><\/span>\u22ef<\/span><\/span><\/span>,<\/span><\/span>a<\/span><\/span>n<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>（\u5bf9\u4e8e\u6240\u6709\u7684 <\/p>\n

1<\/p>\n

\u2264<\/p>\n

i<\/p>\n

\u2264<\/p>\n

n<\/p>\n

1\\\\le i\\\\le n<\/p>\n

<\/span><\/span>1<\/span><\/span>\u2264<\/span><\/span><\/span><\/span>i<\/span><\/span>\u2264<\/span><\/span><\/span><\/span>n<\/span><\/span><\/span><\/span><\/span>，\u5747\u6709 <\/p>\n

a<\/p>\n

i<\/p>\n

a_i<\/p>\n

<\/span><\/span>a<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u7b49\u4e8e <\/p>\n

0<\/p>\n

0<\/p>\n

<\/span><\/span>0<\/span><\/span><\/span><\/span><\/span> \u6216 <\/p>\n

1<\/p>\n

1<\/p>\n

<\/span><\/span>1<\/span><\/span><\/span><\/span><\/span>），\u5176\u4e2d\u5982\u679c <\/p>\n

a<\/p>\n

i<\/p>\n

=<\/p>\n

0<\/p>\n

a_i=0<\/p>\n

<\/span><\/span>a<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span>0<\/span><\/span><\/span><\/span><\/span>，\u5219\u8282\u70b9 <\/p>\n

i<\/p>\n

i<\/p>\n

<\/span><\/span>i<\/span><\/span><\/span><\/span><\/span> \u7684\u989c\u8272\u4e3a\u767d\u8272；\u5982\u679c <\/p>\n

a<\/p>\n

i<\/p>\n

=<\/p>\n

1<\/p>\n

a_i=1<\/p>\n

<\/span><\/span>a<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span>1<\/span><\/span><\/span><\/span><\/span>，\u5219\u8282\u70b9 <\/p>\n

i<\/p>\n

i<\/p>\n

<\/span><\/span>i<\/span><\/span><\/span><\/span><\/span> \u7684\u989c\u8272\u4e3a\u9ed1\u8272\u3002<\/p>\n

\u4e4b\u540e <\/p>\n

(<\/p>\n

n<\/p>\n

\u2212<\/p>\n

1<\/p>\n

)<\/p>\n

(n-1)<\/p>\n

<\/span><\/span>(<\/span>n<\/span><\/span>\u2212<\/span><\/span><\/span><\/span>1<\/span>)<\/span><\/span><\/span><\/span><\/span> \u884c，\u6bcf\u884c\u5305\u542b\u4e24\u4e2a\u6b63\u6574\u6570 <\/p>\n

x<\/p>\n

i<\/p>\n

,<\/p>\n

y<\/p>\n

i<\/p>\n

x_i,y_i<\/p>\n

<\/span><\/span>x<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>,<\/span><\/span>y<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>，\u4ee3\u8868\u5b58\u5728\u4e00\u6761\u8fde\u63a5\u8282\u70b9 <\/p>\n

x<\/p>\n

i<\/p>\n

x_i<\/p>\n

<\/span><\/span>x<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u548c <\/p>\n

y<\/p>\n

i<\/p>\n

y_i<\/p>\n

<\/span><\/span>y<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u7684\u8fb9\u3002<\/p>\n

\u4fdd\u8bc1\u8f93\u5165\u7684\u6811\u4e2d\u5b58\u5728\u4e0d\u540c\u989c\u8272\u7684\u70b9\u3002<\/p>\n

\u8f93\u51fa\u683c\u5f0f<\/h3>\n

\u8f93\u51fa\u4e00\u4e2a\u6574\u6570，\u4ee3\u8868\u76f8\u8ddd\u6700\u8fdc\u7684\u4e00\u5bf9\u4e0d\u540c\u989c\u8272\u8282\u70b9\u7684\u8ddd\u79bb\u3002<\/p>\n

\u8f93\u5165\u8f93\u51fa\u6837\u4f8b #1<\/h3>\n

\u8f93\u5165 #1<\/h4>\n

5
\n0 1 0 1 0
\n1 2
\n1 3
\n3 4
\n3 5<\/p>\n

\u8f93\u51fa #1<\/h4>\n

3<\/p>\n

\u8bf4\u660e\/\u63d0\u793a<\/h3>\n

\u6837\u4f8b\u89e3\u91ca<\/h5>\n

\u76f8\u8ddd\u6700\u8fdc\u7684\u4e0d\u540c\u989c\u8272\u7684\u4e00\u5bf9\u8282\u70b9\u4e3a\u8282\u70b9 <\/p>\n

2<\/p>\n

2<\/p>\n

<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span> \u548c <\/p>\n

5<\/p>\n

5<\/p>\n

<\/span><\/span>5<\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n

\u6570\u636e\u8303\u56f4<\/h5>\n

\u672c\u9898\u91c7\u7528\u6346\u7ed1\u6d4b\u8bd5\u3002<\/p>\n\n\u5b50\u4efb\u52a1\u7f16\u53f7\u5f97\u5206<\/p>\n

n<\/p>\n

n<\/p>\n

<\/span><\/span>n<\/span><\/span><\/span><\/span><\/span><\/p>\n

a<\/p>\n

i<\/p>\n

a_i<\/p>\n

<\/span><\/span>a<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u7279\u6b8a\u6761\u4ef6<\/tr>\n

\n\n\n\n
<\/p>\n

1<\/p>\n

1<\/p>\n

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

<\/p>\n

30<\/p>\n

30<\/p>\n

<\/span><\/span>30<\/span><\/span><\/span><\/span><\/span><\/td>\n

<\/p>\n

\u2264<\/p>\n

10<\/p>\n

5<\/p>\n

\\\\le 10^5<\/p>\n

<\/span><\/span>\u2264<\/span><\/span><\/span><\/span>1<\/span>0<\/span><\/span>5<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/td>\n

<\/p>\n

0<\/p>\n

\u2264<\/p>\n

a<\/p>\n

i<\/p>\n

\u2264<\/p>\n

1<\/p>\n

0\\\\le a_i\\\\le 1<\/p>\n

<\/span><\/span>0<\/span><\/span>\u2264<\/span><\/span><\/span><\/span>a<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2264<\/span><\/span><\/span><\/span>1<\/span><\/span><\/span><\/span><\/span><\/td>\n

\u6811\u7684\u5f62\u6001\u4e3a\u4e00\u6761\u94fe<\/td>\n<\/tr>\n
<\/p>\n

2<\/p>\n

2<\/p>\n

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

<\/p>\n

30<\/p>\n

30<\/p>\n

<\/span><\/span>30<\/span><\/span><\/span><\/span><\/span><\/td>\n

<\/p>\n

\u2264<\/p>\n

10<\/p>\n

3<\/p>\n

\\\\le 10^3<\/p>\n

<\/span><\/span>\u2264<\/span><\/span><\/span><\/span>1<\/span>0<\/span><\/span>3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/td>\n

<\/p>\n

0<\/p>\n

\u2264<\/p>\n

a<\/p>\n

i<\/p>\n

\u2264<\/p>\n

1<\/p>\n

0\\\\le a_i\\\\le 1<\/p>\n

<\/span><\/span>0<\/span><\/span>\u2264<\/span><\/span><\/span><\/span>a<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2264<\/span><\/span><\/span><\/span>1<\/span><\/span><\/span><\/span><\/span><\/td>\n

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

3<\/p>\n

3<\/p>\n

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

<\/p>\n

40<\/p>\n

40<\/p>\n

<\/span><\/span>40<\/span><\/span><\/span><\/span><\/span><\/td>\n

<\/p>\n

\u2264<\/p>\n

10<\/p>\n

5<\/p>\n

\\\\le 10^5<\/p>\n

<\/span><\/span>\u2264<\/span><\/span><\/span><\/span>1<\/span>0<\/span><\/span>5<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/td>\n

<\/p>\n

0<\/p>\n

\u2264<\/p>\n

a<\/p>\n

i<\/p>\n

\u2264<\/p>\n

1<\/p>\n

0\\\\le a_i\\\\le 1<\/p>\n

<\/span><\/span>0<\/span><\/span>\u2264<\/span><\/span><\/span><\/span>a<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2264<\/span><\/span><\/span><\/span>1<\/span><\/span><\/span><\/span><\/span><\/td>\n

<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

\u5bf9\u4e8e\u5168\u90e8\u6570\u636e，\u4fdd\u8bc1\u6709 <\/p>\n

2<\/p>\n

\u2264<\/p>\n

n<\/p>\n

\u2264<\/p>\n

10<\/p>\n

5<\/p>\n

2\\\\le n\\\\le 10^5<\/p>\n

<\/span><\/span>2<\/span><\/span>\u2264<\/span><\/span><\/span><\/span>n<\/span><\/span>\u2264<\/span><\/span><\/span><\/span>1<\/span>0<\/span><\/span>5<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>，<\/p>\n

0<\/p>\n

\u2264<\/p>\n

a<\/p>\n

i<\/p>\n

\u2264<\/p>\n

1<\/p>\n

0\\\\le a_i\\\\le 1<\/p>\n

<\/span><\/span>0<\/span><\/span>\u2264<\/span><\/span><\/span><\/span>a<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2264<\/span><\/span><\/span><\/span>1<\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n

C++\u5b9e\u73b0<\/h3>\n

#<\/span>include<\/span> <iostream><\/span><\/span>
\n#<\/span>include<\/span> <cstdio><\/span><\/span>
\nusing<\/span> namespace<\/span> std;<\/span>
\nconst<\/span> int<\/span> N=<\/span>1e5<\/span>+<\/span>10<\/span>,<\/span>inf=<\/span>1e9<\/span>+<\/span>10<\/span>;<\/span>
\nint<\/span> n,<\/span>to[<\/span>2<\/span>*<\/span>N]<\/span>,<\/span>nxt[<\/span>2<\/span>*<\/span>N]<\/span>,<\/span>ver[<\/span>N]<\/span>,<\/span>c[<\/span>N]<\/span>,<\/span>idx,<\/span>ans,<\/span>dp[<\/span>N]<\/span>[<\/span>2<\/span>]<\/span>;<\/span>
\nvoid<\/span> add<\/span>(<\/span>int<\/span> x,<\/span>int<\/span> y)<\/span>{<\/span>
\n to[<\/span>++<\/span>idx]<\/span>=<\/span>y,<\/span>nxt[<\/span>idx]<\/span>=<\/span>ver[<\/span>x]<\/span>,<\/span>ver[<\/span>x]<\/span>=<\/span>idx;<\/span>
\n}<\/span>
\nvoid<\/span> dfs<\/span>(<\/span>int<\/span> x,<\/span>int<\/span> fa)<\/span>{<\/span>
\n dp[<\/span>x]<\/span>[<\/span>0<\/span>]<\/span>=<\/span>dp[<\/span>x]<\/span>[<\/span>1<\/span>]<\/span>=<\/span>–<\/span>inf;<\/span>
\n dp[<\/span>x]<\/span>[<\/span>c[<\/span>x]<\/span>]<\/span>=<\/span>0<\/span>;<\/span>
\n for<\/span>(<\/span>int<\/span> i=<\/span>ver[<\/span>x]<\/span>;<\/span>i;<\/span>i=<\/span>nxt[<\/span>i]<\/span>)<\/span>{<\/span>
\n if<\/span>(<\/span>to[<\/span>i]<\/span>==<\/span>fa)<\/span>continue<\/span>;<\/span>
\n int<\/span> y=<\/span>to[<\/span>i]<\/span>;<\/span>dfs<\/span>(<\/span>y,<\/span>x)<\/span>;<\/span>
\n ans=<\/span>max<\/span>(<\/span>ans,<\/span>max<\/span>(<\/span>dp[<\/span>x]<\/span>[<\/span>1<\/span>]<\/span>+<\/span>dp[<\/span>y]<\/span>[<\/span>0<\/span>]<\/span>,<\/span>dp[<\/span>x]<\/span>[<\/span>0<\/span>]<\/span>+<\/span>dp[<\/span>y]<\/span>[<\/span>1<\/span>]<\/span>)<\/span>+<\/span>1<\/span>)<\/span>;<\/span>
\n dp[<\/span>x]<\/span>[<\/span>0<\/span>]<\/span>=<\/span>max<\/span>(<\/span>dp[<\/span>x]<\/span>[<\/span>0<\/span>]<\/span>,<\/span>dp[<\/span>y]<\/span>[<\/span>0<\/span>]<\/span>+<\/span>1<\/span>)<\/span>;<\/span>
\n dp[<\/span>x]<\/span>[<\/span>1<\/span>]<\/span>=<\/span>max<\/span>(<\/span>dp[<\/span>x]<\/span>[<\/span>1<\/span>]<\/span>,<\/span>dp[<\/span>y]<\/span>[<\/span>1<\/span>]<\/span>+<\/span>1<\/span>)<\/span>;<\/span>
\n }<\/span>
\n return<\/span>;<\/span>
\n}<\/span>
\nint<\/span> main<\/span>(<\/span>)<\/span>{<\/span>
\n scanf<\/span>(<\/span>"%d"<\/span>,<\/span>&<\/span>n)<\/span>;<\/span>
\n for<\/span>(<\/span>int<\/span> i=<\/span>1<\/span>;<\/span>i<=<\/span>n;<\/span>i++<\/span>)<\/span>scanf<\/span>(<\/span>"%d"<\/span>,<\/span>c+<\/span>i)<\/span>;<\/span>
\n for<\/span>(<\/span>int<\/span> i=<\/span>1<\/span>,<\/span>u,<\/span>v;<\/span>i<<\/span>n;<\/span>i++<\/span>)<\/span>{<\/span>
\n scanf<\/span>(<\/span>"%d %d"<\/span>,<\/span>&<\/span>u,<\/span>&<\/span>v)<\/span>;<\/span>
\n add<\/span>(<\/span>u,<\/span>v)<\/span>,<\/span>add<\/span>(<\/span>v,<\/span>u)<\/span>;<\/span>
\n }<\/span>
\n dfs<\/span>(<\/span>1<\/span>,<\/span>0<\/span>)<\/span>;<\/span>
\n printf<\/span>(<\/span>"%d\\\\n"<\/span>,<\/span>ans)<\/span>;<\/span>
\n return<\/span> 0<\/span>;<\/span>
\n}<\/span><\/p>\n

\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\"<\/p>\n

\u540e\u7eed<\/h3>\n

\u63a5\u4e0b\u6765\u6211\u4f1a\u4e0d\u65ad\u7528C++\u6765\u5b9e\u73b0\u4fe1\u5965\u6bd4\u8d5b\u4e2d\u7684\u7b97\u6cd5\u9898\u3001GESP\u8003\u7ea7\u7f16\u7a0b\u9898\u5b9e\u73b0\u3001\u767d\u540d\u5355\u8d5b\u4e8b\u8003\u9898\u5b9e\u73b0，\u8bb0\u5f55\u65e5\u5e38\u7684\u7f16\u7a0b\u751f\u6d3b\u3001\u6bd4\u8d5b\u5fc3\u5f97，\u611f\u5174\u8da3\u7684\u8bf7\u5173\u6ce8，\u6211\u540e\u7eed\u5c06\u7ee7\u7eed\u5206\u4eab\u76f8\u5173\u5185\u5bb9<\/p>\n","protected":false},"excerpt":{"rendered":"

P10725 [GESP202406 \u516b\u7ea7] \u6700\u8fdc\u70b9\u5bf9
\n\u9898\u76ee\u80cc\u666f
\n\u5bf9\u5e94\u7684\u9009\u62e9\u3001\u5224\u65ad\u9898：https:\/\/ti.luogu.com.cn\/problemset\/1156
\n\u9898\u76ee\u63cf\u8ff0
\n\u5c0f\u6768\u6709\u4e00\u68f5\u5305\u542b nnn \u4e2a\u8282\u70b9\u7684\u6811，\u8fd9\u68f5\u6811\u4e0a\u7684\u4efb\u610f\u4e00\u4e2a\u8282\u70b9\u8981\u4e48\u662f\u767d\u8272，\u8981\u4e48\u662f\u9ed1\u8272\u3002
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