{"id":68906,"date":"2026-01-30T21:25:02","date_gmt":"2026-01-30T13:25:02","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/68906.html"},"modified":"2026-01-30T21:25:02","modified_gmt":"2026-01-30T13:25:02","slug":"%e6%89%93%e5%8d%a1%e4%bf%a1%e5%a5%a5%e5%88%b7%e9%a2%98%ef%bc%882766%ef%bc%89%e7%94%a8c%e5%ae%9e%e7%8e%b0%e4%bf%a1%e5%a5%a5%e9%a2%98-p3819-%e6%9d%be%e6%b1%9f-1843-%e8%b7%af","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/68906.html","title":{"rendered":"\u6253\u5361\u4fe1\u5965\u5237\u9898\uff082766\uff09\u7528C++\u5b9e\u73b0\u4fe1\u5965\u9898 P3819 \u677e\u6c5f 1843 \u8def"},"content":{"rendered":"

P3819 \u677e\u6c5f 1843 \u8def<\/h2>\n

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

\u6d9e\u574a\u8def\u662f\u4e00\u6761\u957f <\/p>\n

L<\/p>\n

L<\/p>\n

<\/span><\/span>L<\/span><\/span><\/span><\/span><\/span> \u7c73\u7684\u9053\u8def，\u9053\u8def\u4e0a\u7684\u5750\u6807\u8303\u56f4\u4ece <\/p>\n

0<\/p>\n

0<\/p>\n

<\/span><\/span>0<\/span><\/span><\/span><\/span><\/span> \u5230 <\/p>\n

L<\/p>\n

L<\/p>\n

<\/span><\/span>L<\/span><\/span><\/span><\/span><\/span>，\u8def\u4e0a\u6709 <\/p>\n

N<\/p>\n

N<\/p>\n

<\/span><\/span>N<\/span><\/span><\/span><\/span><\/span> \u5ea7\u623f\u5b50，\u7b2c <\/p>\n

i<\/p>\n

i<\/p>\n

<\/span><\/span>i<\/span><\/span><\/span><\/span><\/span> \u5ea7\u623f\u5b50\u5efa\u5728\u5750\u6807\u4e3a <\/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> \u7684\u5730\u65b9，\u5176\u4e2d\u4f4f\u4e86 <\/p>\n

r<\/p>\n

i<\/p>\n

r_i<\/p>\n

<\/span><\/span>r<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u4eba\u3002<\/p>\n

\u677e\u6c5f 1843 \u8def\u516c\u4ea4\u8f66\u8981\u5728\u8fd9\u6761\u8def\u4e0a\u5efa\u4e00\u4e2a\u516c\u4ea4\u7ad9，\u5e02\u653f\u5e9c\u5e0c\u671b\u8ba9\u6700\u591a\u7684\u4eba\u5f97\u5230\u65b9\u4fbf，\u56e0\u6b64\u5e0c\u671b\u6240\u6709\u7684\u6bcf\u4e00\u4e2a\u7684\u5c45\u6c11，\u4ece\u5bb6\u5230\u8f66\u7ad9\u7684\u8ddd\u79bb\u7684\u603b\u548c\u6700\u77ed\u3002<\/p>\n

\u516c\u4ea4\u7ad9\u5e94\u8be5\u5efa\u5728\u54ea\u91cc\u5462？<\/p>\n

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

\u7b2c\u4e00\u884c\u8f93\u5165 <\/p>\n

L<\/p>\n

L<\/p>\n

<\/span><\/span>L<\/span><\/span><\/span><\/span><\/span>\u3001<\/p>\n

N<\/p>\n

N<\/p>\n

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

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

N<\/p>\n

N<\/p>\n

<\/span><\/span>N<\/span><\/span><\/span><\/span><\/span> \u884c，\u6bcf\u884c\u4e24\u4e2a\u6574\u6570 <\/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

r<\/p>\n

i<\/p>\n

r_i<\/p>\n

<\/span><\/span>r<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n

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

\u4e00\u4e2a\u6574\u6570，\u6700\u5c0f\u7684\u6bcf\u4e2a\u4eba\u4ece\u5bb6\u5230\u8f66\u7ad9\u7684\u8ddd\u79bb\u7684\u603b\u548c\u3002<\/p>\n

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

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

100 3
\n20 3
\n50 2
\n70 1<\/p>\n

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

110<\/p>\n

\u8f93\u5165\u8f93\u51fa\u6837\u4f8b #2<\/h3>\n

\u8f93\u5165 #2<\/h4>\n

100 2
\n0 1
\n100 10<\/p>\n

\u8f93\u51fa #2<\/h4>\n

100<\/p>\n

\u8f93\u5165\u8f93\u51fa\u6837\u4f8b #3<\/h3>\n

\u8f93\u5165 #3<\/h4>\n

10000000000 5
\n3282894320 391
\n4394338332 929
\n6932893249 181
\n7823822843 440
\n9322388365 623<\/p>\n

\u8f93\u51fa #3<\/h4>\n

5473201404068<\/p>\n

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

\u6837\u4f8b\u89e3\u91ca 1<\/h4>\n

\u5f53\u5efa\u5728\u5750\u6807 <\/p>\n

40<\/p>\n

40<\/p>\n

<\/span><\/span>40<\/span><\/span><\/span><\/span><\/span> \u7684\u65f6\u5019，\u6240\u6709\u4eba\u8ddd\u79bb\u8f66\u7ad9\u7684\u8ddd\u79bb\u603b\u548c\u4e3a <\/p>\n

\u2223<\/p>\n

20<\/p>\n

\u2212<\/p>\n

40<\/p>\n

\u2223<\/p>\n

\u00d7<\/p>\n

3<\/p>\n

+<\/p>\n

\u2223<\/p>\n

50<\/p>\n

\u2212<\/p>\n

40<\/p>\n

\u2223<\/p>\n

\u00d7<\/p>\n

2<\/p>\n

+<\/p>\n

\u2223<\/p>\n

70<\/p>\n

\u2212<\/p>\n

40<\/p>\n

\u2223<\/p>\n

\u00d7<\/p>\n

1<\/p>\n

=<\/p>\n

110<\/p>\n

|20-40| \\\\times 3+|50-40| \\\\times 2+|70-40| \\\\times 1=110<\/p>\n

<\/span><\/span>\u222320<\/span><\/span>\u2212<\/span><\/span><\/span><\/span>40\u2223<\/span><\/span>\u00d7<\/span><\/span><\/span><\/span>3<\/span><\/span>+<\/span><\/span><\/span><\/span>\u222350<\/span><\/span>\u2212<\/span><\/span><\/span><\/span>40\u2223<\/span><\/span>\u00d7<\/span><\/span><\/span><\/span>2<\/span><\/span>+<\/span><\/span><\/span><\/span>\u222370<\/span><\/span>\u2212<\/span><\/span><\/span><\/span>40\u2223<\/span><\/span>\u00d7<\/span><\/span><\/span><\/span>1<\/span><\/span>=<\/span><\/span><\/span><\/span>110<\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n

\u6570\u636e\u8303\u56f4\u548c\u7ea6\u5b9a<\/h4>\n

\u5bf9\u4e8e $10% $\u7684\u6570\u636e，<\/p>\n

1<\/p>\n

\u2264<\/p>\n

N<\/p>\n

\u2264<\/p>\n

50<\/p>\n

1\\\\le N \\\\le 50<\/p>\n

<\/span><\/span>1<\/span><\/span>\u2264<\/span><\/span><\/span><\/span>N<\/span><\/span>\u2264<\/span><\/span><\/span><\/span>50<\/span><\/span><\/span><\/span><\/span>，<\/p>\n

R<\/p>\n

i<\/p>\n

=<\/p>\n

1<\/p>\n

R_i=1<\/p>\n

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

\u5bf9\u4e8e <\/p>\n

30<\/p>\n

%<\/p>\n

30\\\\%<\/p>\n

<\/span><\/span>30%<\/span><\/span><\/span><\/span><\/span> \u7684\u6570\u636e，<\/p>\n

1<\/p>\n

\u2264<\/p>\n

N<\/p>\n

\u2264<\/p>\n

100<\/p>\n

1 \\\\le N \\\\le 100<\/p>\n

<\/span><\/span>1<\/span><\/span>\u2264<\/span><\/span><\/span><\/span>N<\/span><\/span>\u2264<\/span><\/span><\/span><\/span>100<\/span><\/span><\/span><\/span><\/span>，<\/p>\n

R<\/p>\n

i<\/p>\n

\u2264<\/p>\n

10<\/p>\n

R_i \\\\le 10<\/p>\n

<\/span><\/span>R<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2264<\/span><\/span><\/span><\/span>10<\/span><\/span><\/span><\/span><\/span>，<\/p>\n

1<\/p>\n

\u2264<\/p>\n

L<\/p>\n

\u2264<\/p>\n

1000<\/p>\n

1 \\\\le L \\\\le 1000<\/p>\n

<\/span><\/span>1<\/span><\/span>\u2264<\/span><\/span><\/span><\/span>L<\/span><\/span>\u2264<\/span><\/span><\/span><\/span>1000<\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n

\u5bf9\u4e8e <\/p>\n

70<\/p>\n

%<\/p>\n

70\\\\%<\/p>\n

<\/span><\/span>70%<\/span><\/span><\/span><\/span><\/span> \u7684\u6570\u636e，<\/p>\n

1<\/p>\n

\u2264<\/p>\n

N<\/p>\n

\u2264<\/p>\n

1000<\/p>\n

1 \\\\le N \\\\le 1000<\/p>\n

<\/span><\/span>1<\/span><\/span>\u2264<\/span><\/span><\/span><\/span>N<\/span><\/span>\u2264<\/span><\/span><\/span><\/span>1000<\/span><\/span><\/span><\/span><\/span>，<\/p>\n

R<\/p>\n

i<\/p>\n

\u2264<\/p>\n

100<\/p>\n

R_i \\\\le 100<\/p>\n

<\/span><\/span>R<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2264<\/span><\/span><\/span><\/span>100<\/span><\/span><\/span><\/span><\/span>，<\/p>\n

1<\/p>\n

\u2264<\/p>\n

L<\/p>\n

\u2264<\/p>\n

10<\/p>\n

6<\/p>\n

1 \\\\le L \\\\le 10^6<\/p>\n

<\/span><\/span>1<\/span><\/span>\u2264<\/span><\/span><\/span><\/span>L<\/span><\/span>\u2264<\/span><\/span><\/span><\/span>1<\/span>0<\/span><\/span>6<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n

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

1<\/p>\n

\u2264<\/p>\n

L<\/p>\n

\u2264<\/p>\n

10<\/p>\n

10<\/p>\n

1 \\\\le L \\\\le 10^{10}<\/p>\n

<\/span><\/span>1<\/span><\/span>\u2264<\/span><\/span><\/span><\/span>L<\/span><\/span>\u2264<\/span><\/span><\/span><\/span>1<\/span>0<\/span><\/span>10<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>，<\/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>，<\/p>\n

0<\/p>\n

\u2264<\/p>\n

x<\/p>\n

i<\/p>\n

\u2264<\/p>\n

L<\/p>\n

0 \\\\le x_i \\\\le L<\/p>\n

<\/span><\/span>0<\/span><\/span>\u2264<\/span><\/span><\/span><\/span>x<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2264<\/span><\/span><\/span><\/span>L<\/span><\/span><\/span><\/span><\/span>，<\/p>\n

1<\/p>\n

\u2264<\/p>\n

r<\/p>\n

i<\/p>\n

\u2264<\/p>\n

1000<\/p>\n

1 \\\\le r_i \\\\le 1000<\/p>\n

<\/span><\/span>1<\/span><\/span>\u2264<\/span><\/span><\/span><\/span>r<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2264<\/span><\/span><\/span><\/span>1000<\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n

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

#<\/span>include<\/span><bits\/stdc++.h><\/span><\/span>
\nusing<\/span> namespace<\/span> std;<\/span>
\nlong<\/span> long<\/span> s[<\/span>100001<\/span>]<\/span>,<\/span>people[<\/span>100001<\/span>]<\/span>;<\/span>
\nint<\/span> main<\/span>(<\/span>)<\/span>
\n{<\/span>
\n long<\/span> long<\/span> n,<\/span>l,<\/span>k,<\/span>i,<\/span>end,<\/span>tou;<\/span>
\n long<\/span> long<\/span> ans=<\/span>0<\/span>;<\/span>
\n cin>><\/span>l>><\/span>n;<\/span>
\n for<\/span>(<\/span>i=<\/span>1<\/span>;<\/span>i<=<\/span>n;<\/span>i++<\/span>)<\/span>
\n cin>><\/span>s[<\/span>i]<\/span>>><\/span>people[<\/span>i]<\/span>;<\/span>
\n end=<\/span>n;<\/span>
\n tou=<\/span>1<\/span>;<\/span>
\n while<\/span>(<\/span>end><\/span>tou)<\/span>
\n {<\/span>
\n k=<\/span>min<\/span>(<\/span>people[<\/span>tou]<\/span>,<\/span>people[<\/span>end]<\/span>)<\/span>;<\/span>
\n people[<\/span>tou]<\/span>-=<\/span>k;<\/span>
\n people[<\/span>end]<\/span>-=<\/span>k;<\/span>
\n ans+=<\/span>k*<\/span>(<\/span>s[<\/span>end]<\/span>–<\/span>s[<\/span>tou]<\/span>)<\/span>;<\/span>
\n if<\/span>(<\/span>people[<\/span>end]<\/span>==<\/span>0<\/span>)<\/span>
\nend—<\/span>;<\/span>
\n if<\/span>(<\/span>people[<\/span>tou]<\/span>==<\/span>0<\/span>)<\/span>
\ntou++<\/span>;<\/span>
\n }<\/span>
\n cout<<<\/span>ans;<\/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":"

P3819 \u677e\u6c5f 1843 \u8def
\n\u9898\u76ee\u63cf\u8ff0
\n\u6d9e\u574a\u8def\u662f\u4e00\u6761\u957f LLL \u7c73\u7684\u9053\u8def，\u9053\u8def\u4e0a\u7684\u5750\u6807\u8303\u56f4\u4ece 000 \u5230 LLL，\u8def\u4e0a\u6709 NNN \u5ea7\u623f\u5b50，\u7b2c iii \u5ea7\u623f\u5b50\u5efa\u5728\u5750\u6807\u4e3a xix_ixi\u200b \u7684\u5730\u65b9，\u5176\u4e2d\u4f4f\u4e86 rir_iri\u200b \u4eba\u3002
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