{"id":79482,"date":"2026-03-02T09:25:12","date_gmt":"2026-03-02T01:25:12","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/79482.html"},"modified":"2026-03-02T09:25:12","modified_gmt":"2026-03-02T01:25:12","slug":"p1182-%e6%95%b0%e5%88%97%e5%88%86%e6%ae%b5-section-ii","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/79482.html","title":{"rendered":"P1182 \u6570\u5217\u5206\u6bb5 Section II"},"content":{"rendered":"

P1182 \u6570\u5217\u5206\u6bb5 Section II<\/p>\n

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

\u5bf9\u4e8e\u7ed9\u5b9a\u7684\u4e00\u4e2a\u957f\u5ea6\u4e3a <\/p>\n

N<\/p>\n

N<\/p>\n

<\/span><\/span>N<\/span><\/span><\/span><\/span><\/span> \u7684\u6b63\u6574\u6570\u6570\u5217 <\/p>\n

A<\/p>\n

1<\/p>\n

\u223c<\/p>\n

N<\/p>\n

A_{1\\\\sim N}<\/p>\n

<\/span><\/span>A<\/span><\/span>1<\/span>\u223c<\/span>N<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>，\u73b0\u8981\u5c06\u5176\u5206\u6210 <\/p>\n

M<\/p>\n

M<\/p>\n

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

M<\/p>\n

\u2264<\/p>\n

N<\/p>\n

M\\\\leq N<\/p>\n

<\/span><\/span>M<\/span><\/span>\u2264<\/span><\/span><\/span><\/span>N<\/span><\/span><\/span><\/span><\/span>）\u6bb5，\u5e76\u8981\u6c42\u6bcf\u6bb5\u8fde\u7eed，\u4e14\u6bcf\u6bb5\u548c\u7684\u6700\u5927\u503c\u6700\u5c0f\u3002<\/p>\n

\u5173\u4e8e\u6700\u5927\u503c\u6700\u5c0f：<\/p>\n

\u4f8b\u5982\u4e00\u6570\u5217 <\/p>\n

4<\/p>\n

\u00a0<\/p>\n

2<\/p>\n

\u00a0<\/p>\n

4<\/p>\n

\u00a0<\/p>\n

5<\/p>\n

\u00a0<\/p>\n

1<\/p>\n

4\\\\ 2\\\\ 4\\\\ 5\\\\ 1<\/p>\n

<\/span><\/span>4<\/span>\u00a0<\/span>2<\/span>\u00a0<\/span>4<\/span>\u00a0<\/span>5<\/span>\u00a0<\/span>1<\/span><\/span><\/span><\/span><\/span> \u8981\u5206\u6210 <\/p>\n

3<\/p>\n

3<\/p>\n

<\/span><\/span>3<\/span><\/span><\/span><\/span><\/span> \u6bb5\u3002<\/p>\n

\u5c06\u5176\u5982\u4e0b\u5206\u6bb5：<\/p>\n

<\/p>\n

[<\/p>\n

4<\/p>\n

\u00a0<\/p>\n

2<\/p>\n

]<\/p>\n

[<\/p>\n

4<\/p>\n

\u00a0<\/p>\n

5<\/p>\n

]<\/p>\n

[<\/p>\n

1<\/p>\n

]<\/p>\n

[4\\\\ 2][4\\\\ 5][1]<\/p>\n

<\/span><\/span>[<\/span>4<\/span>\u00a0<\/span>2<\/span>]<\/span>[<\/span>4<\/span>\u00a0<\/span>5<\/span>]<\/span>[<\/span>1<\/span>]<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

\u7b2c\u4e00\u6bb5\u548c\u4e3a <\/p>\n

6<\/p>\n

6<\/p>\n

<\/span><\/span>6<\/span><\/span><\/span><\/span><\/span>，\u7b2c <\/p>\n

2<\/p>\n

2<\/p>\n

<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span> \u6bb5\u548c\u4e3a <\/p>\n

9<\/p>\n

9<\/p>\n

<\/span><\/span>9<\/span><\/span><\/span><\/span><\/span>，\u7b2c <\/p>\n

3<\/p>\n

3<\/p>\n

<\/span><\/span>3<\/span><\/span><\/span><\/span><\/span> \u6bb5\u548c\u4e3a <\/p>\n

1<\/p>\n

1<\/p>\n

<\/span><\/span>1<\/span><\/span><\/span><\/span><\/span>，\u548c\u6700\u5927\u503c\u4e3a <\/p>\n

9<\/p>\n

9<\/p>\n

<\/span><\/span>9<\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n

\u5c06\u5176\u5982\u4e0b\u5206\u6bb5：<\/p>\n

<\/p>\n

[<\/p>\n

4<\/p>\n

]<\/p>\n

[<\/p>\n

2<\/p>\n

\u00a0<\/p>\n

4<\/p>\n

]<\/p>\n

[<\/p>\n

5<\/p>\n

\u00a0<\/p>\n

1<\/p>\n

]<\/p>\n

[4][2\\\\ 4][5\\\\ 1]<\/p>\n

<\/span><\/span>[<\/span>4<\/span>]<\/span>[<\/span>2<\/span>\u00a0<\/span>4<\/span>]<\/span>[<\/span>5<\/span>\u00a0<\/span>1<\/span>]<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

\u7b2c\u4e00\u6bb5\u548c\u4e3a <\/p>\n

4<\/p>\n

4<\/p>\n

<\/span><\/span>4<\/span><\/span><\/span><\/span><\/span>，\u7b2c <\/p>\n

2<\/p>\n

2<\/p>\n

<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span> \u6bb5\u548c\u4e3a <\/p>\n

6<\/p>\n

6<\/p>\n

<\/span><\/span>6<\/span><\/span><\/span><\/span><\/span>，\u7b2c <\/p>\n

3<\/p>\n

3<\/p>\n

<\/span><\/span>3<\/span><\/span><\/span><\/span><\/span> \u6bb5\u548c\u4e3a <\/p>\n

6<\/p>\n

6<\/p>\n

<\/span><\/span>6<\/span><\/span><\/span><\/span><\/span>，\u548c\u6700\u5927\u503c\u4e3a <\/p>\n

6<\/p>\n

6<\/p>\n

<\/span><\/span>6<\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n

\u5e76\u4e14\u65e0\u8bba\u5982\u4f55\u5206\u6bb5，\u6700\u5927\u503c\u4e0d\u4f1a\u5c0f\u4e8e <\/p>\n

6<\/p>\n

6<\/p>\n

<\/span><\/span>6<\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n

\u6240\u4ee5\u53ef\u4ee5\u5f97\u5230\u8981\u5c06\u6570\u5217 <\/p>\n

4<\/p>\n

\u00a0<\/p>\n

2<\/p>\n

\u00a0<\/p>\n

4<\/p>\n

\u00a0<\/p>\n

5<\/p>\n

\u00a0<\/p>\n

1<\/p>\n

4\\\\ 2\\\\ 4\\\\ 5\\\\ 1<\/p>\n

<\/span><\/span>4<\/span>\u00a0<\/span>2<\/span>\u00a0<\/span>4<\/span>\u00a0<\/span>5<\/span>\u00a0<\/span>1<\/span><\/span><\/span><\/span><\/span> \u8981\u5206\u6210 <\/p>\n

3<\/p>\n

3<\/p>\n

<\/span><\/span>3<\/span><\/span><\/span><\/span><\/span> \u6bb5，\u6bcf\u6bb5\u548c\u7684\u6700\u5927\u503c\u6700\u5c0f\u4e3a <\/p>\n

6<\/p>\n

6<\/p>\n

<\/span><\/span>6<\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n

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

\u7b2c <\/p>\n

1<\/p>\n

1<\/p>\n

<\/span><\/span>1<\/span><\/span><\/span><\/span><\/span> \u884c\u5305\u542b\u4e24\u4e2a\u6b63\u6574\u6570 <\/p>\n

N<\/p>\n

,<\/p>\n

M<\/p>\n

N,M<\/p>\n

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

\u7b2c <\/p>\n

2<\/p>\n

2<\/p>\n

<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span> \u884c\u5305\u542b <\/p>\n

N<\/p>\n

N<\/p>\n

<\/span><\/span>N<\/span><\/span><\/span><\/span><\/span> \u4e2a\u7a7a\u683c\u9694\u5f00\u7684\u975e\u8d1f\u6574\u6570 <\/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>，\u542b\u4e49\u5982\u9898\u76ee\u6240\u8ff0\u3002<\/p>\n

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

\u4e00\u4e2a\u6b63\u6574\u6570，\u5373\u6bcf\u6bb5\u548c\u6700\u5927\u503c\u6700\u5c0f\u4e3a\u591a\u5c11\u3002<\/p>\n

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

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

5 3
\n4 2 4 5 1<\/p>\n

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

6<\/p>\n

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

\u5bf9\u4e8e <\/p>\n

20<\/p>\n

%<\/p>\n

20\\\\%<\/p>\n

<\/span><\/span>20%<\/span><\/span><\/span><\/span><\/span> \u7684\u6570\u636e，<\/p>\n

N<\/p>\n

\u2264<\/p>\n

10<\/p>\n

N\\\\leq 10<\/p>\n

<\/span><\/span>N<\/span><\/span>\u2264<\/span><\/span><\/span><\/span>10<\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n

\u5bf9\u4e8e <\/p>\n

40<\/p>\n

%<\/p>\n

40\\\\%<\/p>\n

<\/span><\/span>40%<\/span><\/span><\/span><\/span><\/span> \u7684\u6570\u636e，<\/p>\n

N<\/p>\n

\u2264<\/p>\n

1000<\/p>\n

N\\\\leq 1000<\/p>\n

<\/span><\/span>N<\/span><\/span>\u2264<\/span><\/span><\/span><\/span>1000<\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n

\u5bf9\u4e8e <\/p>\n

100<\/p>\n

%<\/p>\n

100\\\\%<\/p>\n

<\/span><\/span>100%<\/span><\/span><\/span><\/span><\/span> \u7684\u6570\u636e，<\/p>\n

1<\/p>\n

\u2264<\/p>\n

N<\/p>\n

\u2264<\/p>\n

10<\/p>\n

5<\/p>\n

1\\\\leq N\\\\leq 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

M<\/p>\n

\u2264<\/p>\n

N<\/p>\n

M\\\\leq N<\/p>\n

<\/span><\/span>M<\/span><\/span>\u2264<\/span><\/span><\/span><\/span>N<\/span><\/span><\/span><\/span><\/span>，<\/p>\n

A<\/p>\n

i<\/p>\n

<<\/p>\n

10<\/p>\n

8<\/p>\n

A_i < 10^8<\/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>0<\/span><\/span>8<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>， \u7b54\u6848\u4e0d\u8d85\u8fc7 <\/p>\n

10<\/p>\n

9<\/p>\n

10^9<\/p>\n

<\/span><\/span>1<\/span>0<\/span><\/span>9<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n

\u89e3\u6790<\/h3>\n

#<\/span>include<\/span><iostream><\/span><\/span>
\n#<\/span>include<\/span><vector><\/span><\/span>
\n#<\/span>include<\/span><limits.h><\/span><\/span>
\nusing<\/span> namespace<\/span> std;<\/span>
\n\/\/ \u6700\u5c0f\u5316\u6700\u5927\u503c, \u4e00\u773c\u4e8c\u5206, \u6bd4\u8f83\u590d\u6742\u7684\u70b9\u5728\u4e8echeck\u51fd\u6570\u5982\u4f55\u53bb\u5199<\/span>
\nint<\/span> n,<\/span> m;<\/span>
\nvector<<\/span>int<\/span>><\/span> a;<\/span>
\nint<\/span> l,<\/span> r,<\/span> mid,<\/span> ans;<\/span><\/p>\n

\/\/ \u6700\u5927\u6bb5\u503c\u7684\u4e0a\u754c<\/span>
\nbool<\/span> check<\/span>(<\/span>int<\/span> upperBound)<\/span>{<\/span>
\n \/\/ \u521d\u59cb\u5316<\/span>
\n int<\/span> minSegCount =<\/span> 1<\/span>;<\/span>
\n int<\/span> sum =<\/span> 0<\/span>;<\/span>
\n for<\/span> (<\/span>int<\/span> i =<\/span> 0<\/span>;<\/span> i <<\/span> n;<\/span> i++<\/span>)<\/span> {<\/span>
\n if<\/span> (<\/span>sum +<\/span> a[<\/span>i]<\/span> <=<\/span> upperBound)<\/span> {<\/span>
\n \/\/ \u80fd\u52a0\u5c31\u52a0<\/span>
\n sum +=<\/span> a[<\/span>i]<\/span>;<\/span>
\n }<\/span>
\n else<\/span> {<\/span>
\n sum =<\/span> a[<\/span>i]<\/span>;<\/span> \/\/ \u5982\u679c\u4e0d\u80fd\u52a0\u5c31\u91cd\u5f00\u4e00\u6bb5<\/span>
\n minSegCount++<\/span>;<\/span>
\n }<\/span>
\n }<\/span>
\n return<\/span> minSegCount <=<\/span> m;<\/span>
\n}<\/span><\/p>\n

int<\/span> main<\/span>(<\/span>)<\/span>{<\/span>
\n ios::<\/span>sync_with_stdio<\/span>(<\/span>false<\/span>)<\/span>;<\/span>
\n cin.<\/span>tie<\/span>(<\/span>nullptr<\/span>)<\/span>;<\/span>
\n cout.<\/span>tie<\/span>(<\/span>nullptr<\/span>)<\/span>;<\/span>
\n cin >><\/span> n >><\/span> m;<\/span>
\n a.<\/span>resize<\/span>(<\/span>n)<\/span>;<\/span>
\n for<\/span>(<\/span>int<\/span> i =<\/span> 0<\/span>;<\/span> i <<\/span> n;<\/span> i++<\/span>)<\/span>{<\/span>
\n cin >><\/span> a[<\/span>i]<\/span>;<\/span>
\n \/\/ \u8fd9\u91cc\u4e00\u5b9a\u9700\u8981\u5bf9\u4e8c\u5206\u5de6\u8fb9\u754c\u8fdb\u884c\u63a7\u5236, \u592a\u5c0f\u4f1a\u5bfc\u81f4check\u7ed3\u679c\u4e0d\u7b26\u5408\u9884\u671f<\/span>
\n l =<\/span> max<\/span>(<\/span>a[<\/span>i]<\/span>,<\/span> l)<\/span>;<\/span>
\n r +=<\/span> a[<\/span>i]<\/span>;<\/span>
\n }<\/span>
\n \/\/ r = INT_MAX;<\/span>
\n while<\/span>(<\/span>l <=<\/span> r)<\/span>{<\/span>
\n mid =<\/span> l +<\/span> (<\/span>r –<\/span> l)<\/span> \/<\/span> 2<\/span>;<\/span>
\n \/*
\n mid\u6b64\u523b\u4e3a\u5206\u6cbb\u540e\u6bb5\u7684\u6700\u5927\u503c, \u9700\u8981\u5224\u65ad\u5206\u6cbb\u4f7f\u6bcf\u4e00\u6bb5\u90fd <= mid,
\n \u6700\u5c11\u53ef\u4ee5\u5206min\u6bb5, \u5982\u679c min <= m, \u8bf4\u660emid\u8fd8\u53ef\u4ee5\u5c1d\u8bd5\u7f29\u5c0f
\n \u8fd9\u662f\u4e00\u4e2a\u5f88\u7b80\u5355\u7684\u601d\u7ef4, \u5982\u679cmid\u592a\u5927, min\u53cd\u800c\u4f1a\u66f4\u5c0f, \u53cd\u4e4b, min\u4f1a\u589e\u5927
\n *\/<\/span>
\n if<\/span>(<\/span>check<\/span>(<\/span>mid)<\/span>)<\/span>{<\/span>
\n \/\/ \u5982\u679c\u53ef\u4ee5\u4f7f min <= m, \u8bf4\u660emid\u53ef\u4ee5\u5c1d\u8bd5\u7f29\u5c0f<\/span>
\n ans =<\/span> mid;<\/span>
\n r =<\/span> mid –<\/span> 1<\/span>;<\/span>
\n }<\/span>
\n else<\/span>{<\/span>
\n \/\/ \u5982\u679c\u4e0d\u884c, \u5c31\u5f97\u8c03\u5927mid\u7684\u503c<\/span>
\n l =<\/span> mid +<\/span> 1<\/span>;<\/span>
\n }<\/span>
\n }<\/span>
\n cout <<<\/span> ans;<\/span>
\n return<\/span> 0<\/span>;<\/span>
\n}<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"

P1182 \u6570\u5217\u5206\u6bb5 Section II
\n\u9898\u76ee\u63cf\u8ff0
\n\u5bf9\u4e8e\u7ed9\u5b9a\u7684\u4e00\u4e2a\u957f\u5ea6\u4e3a NNN \u7684\u6b63\u6574\u6570\u6570\u5217 A1\u223cNA_{1\\\\sim N}A1\u223cN\u200b，\u73b0\u8981\u5c06\u5176\u5206\u6210 MMM（M\u2264NM\\\\leq NM\u2264N）\u6bb5，\u5e76\u8981\u6c42\u6bcf\u6bb5\u8fde\u7eed，\u4e14\u6bcf\u6bb5\u548c\u7684\u6700\u5927\u503c\u6700\u5c0f\u3002
\n\u5173\u4e8e\u6700\u5927\u503c\u6700\u5c0f：
\n\u4f8b\u5982\u4e00\u6570\u5217 424514\\\\ 2\\\\ 4\\\\ 5\\\\ 14\u00a02\u00a04\u00a05\u00a01 \u8981\u5206\u6210 333 \u6bb5\u3002
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