{"id":73315,"date":"2026-02-07T13:49:27","date_gmt":"2026-02-07T05:49:27","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/73315.html"},"modified":"2026-02-07T13:49:27","modified_gmt":"2026-02-07T05:49:27","slug":"%e6%89%93%e5%8d%a1%e4%bf%a1%e5%a5%a5%e5%88%b7%e9%a2%98%ef%bc%882806%ef%bc%89%e7%94%a8c%e5%ae%9e%e7%8e%b0%e4%bf%a1%e5%a5%a5%e9%a2%98-p4084-usaco17dec-barn-painting-g","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/73315.html","title":{"rendered":"\u6253\u5361\u4fe1\u5965\u5237\u9898\uff082806\uff09\u7528C++\u5b9e\u73b0\u4fe1\u5965\u9898 P4084 [USACO17DEC] Barn Painting G"},"content":{"rendered":"

P4084 [USACO17DEC] Barn Painting G<\/h2>\n

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

Farmer John \u6709\u4e00\u4e2a\u5927\u519c\u573a，\u519c\u573a\u4e0a\u6709 <\/p>\n

N<\/p>\n

N<\/p>\n

<\/span><\/span>N<\/span><\/span><\/span><\/span><\/span> \u4e2a\u8c37\u4ed3（<\/p>\n

1<\/p>\n

\u2264<\/p>\n

N<\/p>\n

\u2264<\/p>\n

10<\/p>\n

5<\/p>\n

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

<\/span><\/span>1<\/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>），\u5176\u4e2d\u4e00\u4e9b\u5df2\u7ecf\u6d82\u8272，\u53e6\u4e00\u4e9b\u5c1a\u672a\u6d82\u8272\u3002Farmer John \u60f3\u8981\u4e3a\u8fd9\u4e9b\u5269\u4f59\u7684\u8c37\u4ed3\u6d82\u8272，\u4f7f\u5f97\u6240\u6709\u8c37\u4ed3\u90fd\u88ab\u6d82\u8272，\u4f46\u4ed6\u53ea\u6709\u4e09\u79cd\u53ef\u7528\u7684\u6cb9\u6f06\u989c\u8272\u3002\u6b64\u5916，\u4ed6\u7684\u83b7\u5956\u5976\u725b Bessie \u5982\u679c\u53d1\u73b0\u4e24\u4e2a\u76f4\u63a5\u76f8\u8fde\u7684\u8c37\u4ed3\u989c\u8272\u76f8\u540c，\u4f1a\u611f\u5230\u56f0\u60d1，\u56e0\u6b64\u4ed6\u5e0c\u671b\u786e\u4fdd\u8fd9\u79cd\u60c5\u51b5\u4e0d\u4f1a\u53d1\u751f\u3002<\/p>\n

\u4fdd\u8bc1 <\/p>\n

N<\/p>\n

N<\/p>\n

<\/span><\/span>N<\/span><\/span><\/span><\/span><\/span> \u4e2a\u8c37\u4ed3\u4e4b\u95f4\u7684\u8fde\u63a5\u4e0d\u4f1a\u5f62\u6210\u4efb\u4f55\u201c\u73af\u201d\u3002\u4e5f\u5c31\u662f\u8bf4，\u4efb\u610f\u4e24\u4e2a\u8c37\u4ed3\u4e4b\u95f4\u6700\u591a\u53ea\u6709\u4e00\u6761\u8fde\u63a5\u8def\u5f84\u3002<\/p>\n

Farmer John \u6709\u591a\u5c11\u79cd\u65b9\u5f0f\u53ef\u4ee5\u4e3a\u5269\u4f59\u7684\u672a\u6d82\u8272\u8c37\u4ed3\u6d82\u8272？<\/p>\n

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

\u7b2c\u4e00\u884c\u5305\u542b\u4e24\u4e2a\u6574\u6570 <\/p>\n

N<\/p>\n

N<\/p>\n

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

K<\/p>\n

K<\/p>\n

<\/span><\/span>K<\/span><\/span><\/span><\/span><\/span>（<\/p>\n

0<\/p>\n

\u2264<\/p>\n

K<\/p>\n

\u2264<\/p>\n

N<\/p>\n

0 \\\\le K \\\\le N<\/p>\n

<\/span><\/span>0<\/span><\/span>\u2264<\/span><\/span><\/span><\/span>K<\/span><\/span>\u2264<\/span><\/span><\/span><\/span>N<\/span><\/span><\/span><\/span><\/span>），\u5206\u522b\u8868\u793a\u519c\u573a\u4e0a\u7684\u8c37\u4ed3\u6570\u91cf\u548c\u5df2\u7ecf\u6d82\u8272\u7684\u8c37\u4ed3\u6570\u91cf\u3002<\/p>\n

\u63a5\u4e0b\u6765\u7684 <\/p>\n

N<\/p>\n

\u2212<\/p>\n

1<\/p>\n

N-1<\/p>\n

<\/span><\/span>N<\/span><\/span>\u2212<\/span><\/span><\/span><\/span>1<\/span><\/span><\/span><\/span><\/span> \u884c\u6bcf\u884c\u5305\u542b\u4e24\u4e2a\u6574\u6570 <\/p>\n

x<\/p>\n

x<\/p>\n

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

y<\/p>\n

y<\/p>\n

<\/span><\/span>y<\/span><\/span><\/span><\/span><\/span>（<\/p>\n

1<\/p>\n

\u2264<\/p>\n

x<\/p>\n

,<\/p>\n

y<\/p>\n

\u2264<\/p>\n

N<\/p>\n

,<\/p>\n

x<\/p>\n

\u2260<\/p>\n

y<\/p>\n

1 \\\\le x, y \\\\le N, x \\\\neq y<\/p>\n

<\/span><\/span>1<\/span><\/span>\u2264<\/span><\/span><\/span><\/span>x<\/span>,<\/span><\/span>y<\/span><\/span>\u2264<\/span><\/span><\/span><\/span>N<\/span>,<\/span><\/span>x<\/span><\/span><\/span>\ue020<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span><\/span>y<\/span><\/span><\/span><\/span><\/span>），\u63cf\u8ff0\u76f4\u63a5\u8fde\u63a5\u8c37\u4ed3 <\/p>\n

x<\/p>\n

x<\/p>\n

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

y<\/p>\n

y<\/p>\n

<\/span><\/span>y<\/span><\/span><\/span><\/span><\/span> \u7684\u8def\u5f84\u3002<\/p>\n

\u63a5\u4e0b\u6765\u7684 <\/p>\n

K<\/p>\n

K<\/p>\n

<\/span><\/span>K<\/span><\/span><\/span><\/span><\/span> \u884c\u6bcf\u884c\u5305\u542b\u4e24\u4e2a\u6574\u6570 <\/p>\n

b<\/p>\n

b<\/p>\n

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

c<\/p>\n

c<\/p>\n

<\/span><\/span>c<\/span><\/span><\/span><\/span><\/span>（<\/p>\n

1<\/p>\n

\u2264<\/p>\n

b<\/p>\n

\u2264<\/p>\n

N<\/p>\n

1 \\\\le b \\\\le N<\/p>\n

<\/span><\/span>1<\/span><\/span>\u2264<\/span><\/span><\/span><\/span>b<\/span><\/span>\u2264<\/span><\/span><\/span><\/span>N<\/span><\/span><\/span><\/span><\/span>, <\/p>\n

1<\/p>\n

\u2264<\/p>\n

c<\/p>\n

\u2264<\/p>\n

3<\/p>\n

1 \\\\le c \\\\le 3<\/p>\n

<\/span><\/span>1<\/span><\/span>\u2264<\/span><\/span><\/span><\/span>c<\/span><\/span>\u2264<\/span><\/span><\/span><\/span>3<\/span><\/span><\/span><\/span><\/span>），\u8868\u793a\u8c37\u4ed3 <\/p>\n

b<\/p>\n

b<\/p>\n

<\/span><\/span>b<\/span><\/span><\/span><\/span><\/span> \u5df2\u7ecf\u88ab\u6d82\u6210\u989c\u8272 <\/p>\n

c<\/p>\n

c<\/p>\n

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

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

\u8ba1\u7b97\u4e3a\u5269\u4f59\u8c37\u4ed3\u6d82\u8272\u7684\u6709\u6548\u65b9\u5f0f\u6570\u91cf，\u6a21 <\/p>\n

10<\/p>\n

9<\/p>\n

+<\/p>\n

7<\/p>\n

10^9 + 7<\/p>\n

<\/span><\/span>1<\/span>0<\/span><\/span>9<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>+<\/span><\/span><\/span><\/span>7<\/span><\/span><\/span><\/span><\/span>，\u8981\u6c42\u4efb\u4f55\u4e24\u4e2a\u76f4\u63a5\u76f8\u8fde\u7684\u8c37\u4ed3\u989c\u8272\u4e0d\u540c\u3002<\/p>\n

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

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

4 1
\n1 2
\n1 3
\n1 4
\n4 3<\/p>\n

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

8<\/p>\n

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

#<\/span>include<\/span><bits\/stdc++.h><\/span><\/span>
\n#<\/span>define<\/span> maxn<\/span> 200005<\/span><\/span><\/span>
\n#<\/span>define<\/span> ll<\/span> long<\/span> long<\/span><\/span><\/span>
\nusing<\/span> namespace<\/span> std;<\/span>
\nconst<\/span> int<\/span> TT=<\/span>1e9<\/span>+<\/span>7<\/span>;<\/span>
\nint<\/span> n,<\/span>x,<\/span>y,<\/span>lnk[<\/span>maxn]<\/span>,<\/span>nxt[<\/span>maxn]<\/span>,<\/span>son[<\/span>maxn]<\/span>,<\/span>tot,<\/span>m;<\/span>
\nll f[<\/span>maxn]<\/span>[<\/span>3<\/span>]<\/span>;<\/span>
\ninline<\/span> int<\/span> read<\/span>(<\/span>)<\/span>{<\/span>
\nint<\/span> ret=<\/span>0<\/span>,<\/span>f=<\/span>1<\/span>;<\/span>char<\/span> ch=<\/span>getchar<\/span>(<\/span>)<\/span>;<\/span>
\nwhile<\/span> (<\/span>ch<<\/span>'0'<\/span>||<\/span>ch><\/span>'9'<\/span>)<\/span>{<\/span>if<\/span> (<\/span>ch==<\/span>'-'<\/span>)<\/span> f=<\/span>–<\/span>f;<\/span>ch=<\/span>getchar<\/span>(<\/span>)<\/span>;<\/span>}<\/span>
\nwhile<\/span> (<\/span>ch<=<\/span>'9'<\/span>&&<\/span>ch>=<\/span>'0'<\/span>)<\/span> ret=<\/span>ret*<\/span>10<\/span>+<\/span>ch–<\/span>'0'<\/span>,<\/span>ch=<\/span>getchar<\/span>(<\/span>)<\/span>;<\/span>
\nreturn<\/span> ret*<\/span>f;<\/span>
\n}<\/span>
\ninline<\/span> void<\/span> add<\/span>(<\/span>int<\/span> x,<\/span>int<\/span> y)<\/span>{<\/span>nxt[<\/span>++<\/span>tot]<\/span>=<\/span>lnk[<\/span>x]<\/span>;<\/span>lnk[<\/span>x]<\/span>=<\/span>tot;<\/span>son[<\/span>tot]<\/span>=<\/span>y;<\/span>}<\/span>
\ninline<\/span> void<\/span> Dfs<\/span>(<\/span>int<\/span> x,<\/span>int<\/span> fa)<\/span>{<\/span>
\nfor<\/span> (<\/span>int<\/span> i=<\/span>0<\/span>;<\/span>i<<\/span>3<\/span>;<\/span>i++<\/span>)<\/span>{<\/span>
\nif<\/span> (<\/span>f[<\/span>x]<\/span>[<\/span>i]<\/span>)<\/span>{<\/span>for<\/span> (<\/span>int<\/span> j=<\/span>0<\/span>;<\/span>j<<\/span>i;<\/span>j++<\/span>)<\/span> f[<\/span>x]<\/span>[<\/span>j]<\/span>=<\/span>0<\/span>;<\/span>break<\/span>;<\/span>}<\/span>
\nf[<\/span>x]<\/span>[<\/span>i]<\/span>=<\/span>1<\/span>;<\/span>
\n}<\/span>
\nfor<\/span> (<\/span>int<\/span> i=<\/span>lnk[<\/span>x]<\/span>;<\/span>i;<\/span>i=<\/span>nxt[<\/span>i]<\/span>)<\/span>
\n if<\/span> (<\/span>son[<\/span>i]<\/span>!=<\/span>fa)<\/span>{<\/span>
\n Dfs<\/span>(<\/span>son[<\/span>i]<\/span>,<\/span>x)<\/span>;<\/span>
\n f[<\/span>x]<\/span>[<\/span>0<\/span>]<\/span>=<\/span>f[<\/span>x]<\/span>[<\/span>0<\/span>]<\/span>*<\/span>(<\/span>(<\/span>f[<\/span>son[<\/span>i]<\/span>]<\/span>[<\/span>1<\/span>]<\/span>+<\/span>f[<\/span>son[<\/span>i]<\/span>]<\/span>[<\/span>2<\/span>]<\/span>)<\/span>%<\/span>TT)<\/span>%<\/span>TT;<\/span>
\n f[<\/span>x]<\/span>[<\/span>1<\/span>]<\/span>=<\/span>f[<\/span>x]<\/span>[<\/span>1<\/span>]<\/span>*<\/span>(<\/span>(<\/span>f[<\/span>son[<\/span>i]<\/span>]<\/span>[<\/span>0<\/span>]<\/span>+<\/span>f[<\/span>son[<\/span>i]<\/span>]<\/span>[<\/span>2<\/span>]<\/span>)<\/span>%<\/span>TT)<\/span>%<\/span>TT;<\/span>
\n f[<\/span>x]<\/span>[<\/span>2<\/span>]<\/span>=<\/span>f[<\/span>x]<\/span>[<\/span>2<\/span>]<\/span>*<\/span>(<\/span>(<\/span>f[<\/span>son[<\/span>i]<\/span>]<\/span>[<\/span>1<\/span>]<\/span>+<\/span>f[<\/span>son[<\/span>i]<\/span>]<\/span>[<\/span>0<\/span>]<\/span>)<\/span>%<\/span>TT)<\/span>%<\/span>TT;<\/span>
\n }<\/span>
\n}<\/span>
\nint<\/span> main<\/span>(<\/span>)<\/span>{<\/span>
\nn=<\/span>read<\/span>(<\/span>)<\/span>,<\/span>m=<\/span>read<\/span>(<\/span>)<\/span>;<\/span>
\nfor<\/span> (<\/span>int<\/span> i=<\/span>1<\/span>;<\/span>i<<\/span>n;<\/span>i++<\/span>)<\/span> x=<\/span>read<\/span>(<\/span>)<\/span>,<\/span>y=<\/span>read<\/span>(<\/span>)<\/span>,<\/span>add<\/span>(<\/span>x,<\/span>y)<\/span>,<\/span>add<\/span>(<\/span>y,<\/span>x)<\/span>;<\/span>
\nfor<\/span> (<\/span>int<\/span> i=<\/span>1<\/span>;<\/span>i<=<\/span>m;<\/span>i++<\/span>)<\/span> x=<\/span>read<\/span>(<\/span>)<\/span>,<\/span>y=<\/span>read<\/span>(<\/span>)<\/span>–<\/span>1<\/span>,<\/span>f[<\/span>x]<\/span>[<\/span>y]<\/span>=<\/span>1<\/span>;<\/span>
\nDfs<\/span>(<\/span>1<\/span>,<\/span>0<\/span>)<\/span>;<\/span>
\nprintf<\/span>(<\/span>"%lld"<\/span>,<\/span>(<\/span>f[<\/span>1<\/span>]<\/span>[<\/span>0<\/span>]<\/span>+<\/span>f[<\/span>1<\/span>]<\/span>[<\/span>1<\/span>]<\/span>+<\/span>f[<\/span>1<\/span>]<\/span>[<\/span>2<\/span>]<\/span>)<\/span>%<\/span>TT)<\/span>;<\/span>
\nreturn<\/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":"

P4084 [USACO17DEC] Barn Painting G
\n\u9898\u76ee\u63cf\u8ff0
\nFarmer John \u6709\u4e00\u4e2a\u5927\u519c\u573a，\u519c\u573a\u4e0a\u6709 NNN \u4e2a\u8c37\u4ed3（1\u2264N\u22641051 \\\\le N \\\\le 10^51\u2264N\u2264105），\u5176\u4e2d\u4e00\u4e9b\u5df2\u7ecf\u6d82\u8272，\u53e6\u4e00\u4e9b\u5c1a\u672a\u6d82\u8272\u3002Farmer John \u60f3\u8981\u4e3a\u8fd9\u4e9b\u5269\u4f59\u7684\u8c37\u4ed3\u6d82\u8272，\u4f7f\u5f97\u6240\u6709\u8c37\u4ed3\u90fd\u88ab\u6d82\u8272，\u4f46\u4ed6\u53ea\u6709\u4e09\u79cd\u53ef\u7528\u7684\u6cb9\u6f06\u989c\u8272\u3002\u6b64\u5916，\u4ed6\u7684\u83b7\u5956\u5976\u725b B<\/p>\n","protected":false},"author":2,"featured_media":73314,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[55,190,1813,427,4405],"topic":[],"class_list":["post-73315","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-server","tag-c","tag-190","tag-1813","tag-427","tag-4405"],"yoast_head":"\n\u6253\u5361\u4fe1\u5965\u5237\u9898\uff082806\uff09\u7528C++\u5b9e\u73b0\u4fe1\u5965\u9898 P4084 [USACO17DEC] Barn Painting G - 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