{"id":52524,"date":"2025-08-11T15:19:14","date_gmt":"2025-08-11T07:19:14","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/52524.html"},"modified":"2025-08-11T15:19:14","modified_gmt":"2025-08-11T07:19:14","slug":"%e6%89%93%e5%8d%a1%e4%bf%a1%e5%a5%a5%e5%88%b7%e9%a2%98%ef%bc%881834%ef%bc%89%e7%94%a8c%e5%ae%9e%e7%8e%b0%e4%bf%a1%e5%a5%a5-p9256-pa-2022-muzyka-pop-2","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/52524.html","title":{"rendered":"\u6253\u5361\u4fe1\u5965\u5237\u9898\uff081834\uff09\u7528C++\u5b9e\u73b0\u4fe1\u5965 P9256 [PA 2022] Muzyka pop 2"},"content":{"rendered":"

P9256 [PA 2022] Muzyka pop 2<\/h2>\n

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

\u9898\u76ee\u8bd1\u81ea PA 2022 Runda 2 Muzyka pop 2<\/p>\n

\u4f60\u53ef\u80fd\u8fd8\u8bb0\u5f97，Matthew \u559c\u6b22\u6d41\u884c\u97f3\u4e50\u3002\u4ed6\u521a\u521a\u7f16\u597d\u4e00\u9996\u65b0\u6b4c，\u5c31\u5dee\u7ed9\u8fd9\u9996\u6b4c\u8c31\u4e00\u4e2a\u7ed3\u5c3e\u4e86\u3002<\/p>\n

Matthew \u60f3\u8ba9\u8fd9\u4e2a\u7ed3\u5c3e\u5305\u542b\u4e00\u4e9b\u975e\u7a7a\u7684\u97f3\u7b26，\u8fd9\u4e9b\u97f3\u7b26\u7528\u5176\u54cd\u5ea6\u8868\u793a，\u54cd\u5ea6\u662f\u4e00\u4e2a\u6b63\u6574\u6570\u3002Matthew \u53ef\u4ee5\u4f7f\u7528\u4efb\u4f55\u54cd\u5ea6\u7684\u97f3\u7b26，\u4f46\u7ed3\u5c3e\u7684\u4efb\u52a1\u662f\u9010\u6e10\u6de1\u51fa\u6574\u9996\u6b4c\u2014\u2014\u51fa\u4e8e\u8fd9\u4e2a\u539f\u56e0，\u7ed3\u5c3e\u7684\u97f3\u7b26\u54cd\u5ea6\u5fc5\u987b\u5f62\u6210\u4e00\u4e2a\u4e25\u683c\u9012\u51cf\u7684\u5e8f\u5217\u3002<\/p>\n

\u4f60\u53ef\u80fd\u77e5\u9053\u6216\u8bb0\u5f97，\u6d41\u884c\u97f3\u4e50\u4e2d\u597d\u7684\u8282\u62cd\u662f\u5f88\u91cd\u8981\u7684\u3002\u8fd9\u6b21 Matthew \u53d1\u73b0\u54cd\u5ea6\u4e3a <\/p>\n

x<\/p>\n

x<\/p>\n

<\/span><\/span>x<\/span><\/span><\/span><\/span><\/span> \u7684\u97f3\u7b26\u7684\u8282\u62cd\u503c\u4e3a <\/p>\n

x<\/p>\n

x<\/p>\n

<\/span><\/span>x<\/span><\/span><\/span><\/span><\/span> \u7684\u4e8c\u8fdb\u5236\u5f62\u5f0f\u4e2d <\/p>\n

1<\/p>\n

1<\/p>\n

<\/span><\/span>1<\/span><\/span><\/span><\/span><\/span> \u7684\u4e2a\u6570\u3002\u8003\u8651\u8fd9\u9996\u6b4c\u7684\u5269\u4f59\u90e8\u5206，\u4ed6\u60f3\u8ba9\u8fd9\u4e2a\u7ed3\u5c3e\u6240\u6709\u97f3\u7b26\u7684\u8282\u62cd\u503c\u4e4b\u548c\u6070\u597d\u4e3a <\/p>\n

n<\/p>\n

n<\/p>\n

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

\u5e2e\u4ed6\u627e\u5230\u8fd9\u4e2a\u6b63\u786e\u7684\u97f3\u7b26\u54cd\u5ea6\u5e8f\u5217\u3002\u53ef\u4ee5\u8bc1\u660e\u603b\u5b58\u5728\u81f3\u5c11\u4e00\u4e2a\u6ee1\u8db3\u6761\u4ef6\u7684\u5e8f\u5217，\u56e0\u6b64\u4f60\u7684\u4efb\u52a1\u662f\u8f93\u51fa\u5b57\u5178\u5e8f\u6700\u5c0f\u7684\u5e8f\u5217\u3002<\/p>\n

\u6ce8：\u5982\u679c\u5bf9\u4e8e\u4e24\u4e2a\u6570\u5b57\u5e8f\u5217 <\/p>\n

A<\/p>\n

A<\/p>\n

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

B<\/p>\n

B<\/p>\n

<\/span><\/span>B<\/span><\/span><\/span><\/span><\/span>，\u5728\u4e24\u5e8f\u5217\u7b2c\u4e00\u4e2a\u4e0d\u540c\u7684\u4f4d\u7f6e，<\/p>\n

A<\/p>\n

A<\/p>\n

<\/span><\/span>A<\/span><\/span><\/span><\/span><\/span> \u5e8f\u5217\u4e2d\u8fd9\u4e2a\u4f4d\u7f6e\u5305\u542b\u7684\u6574\u6570\u6bd4 <\/p>\n

B<\/p>\n

B<\/p>\n

<\/span><\/span>B<\/span><\/span><\/span><\/span><\/span> \u5e8f\u5217\u7684\u5c0f，\u6211\u4eec\u79f0\u6570\u5b57\u5e8f\u5217 <\/p>\n

A<\/p>\n

A<\/p>\n

<\/span><\/span>A<\/span><\/span><\/span><\/span><\/span> \u7684\u5b57\u5178\u5e8f\u6bd4 <\/p>\n

B<\/p>\n

B<\/p>\n

<\/span><\/span>B<\/span><\/span><\/span><\/span><\/span> \u7684\u5b57\u5178\u5e8f\u5c0f\u3002\u5982\u679c\u4e0d\u5b58\u5728\u8fd9\u4e2a\u4f4d\u7f6e，\u5219\u79f0\u66f4\u77ed\u7684\u90a3\u4e2a\u6570\u5b57\u5e8f\u5217\u5b57\u5178\u5e8f\u66f4\u5c0f\u3002\u4f8b\u5982，\u5e8f\u5217 <\/p>\n

[<\/p>\n

1<\/p>\n

,<\/p>\n

10000000<\/p>\n

]<\/p>\n

[1, 10000000]<\/p>\n

<\/span><\/span>[<\/span>1<\/span>,<\/span><\/span>10000000<\/span>]<\/span><\/span><\/span><\/span><\/span> \u7684\u5b57\u5178\u5e8f\u5c0f\u4e8e\u5e8f\u5217 <\/p>\n

[<\/p>\n

2<\/p>\n

,<\/p>\n

2<\/p>\n

]<\/p>\n

[2,2]<\/p>\n

<\/span><\/span>[<\/span>2<\/span>,<\/span><\/span>2<\/span>]<\/span><\/span><\/span><\/span><\/span>，\u5e8f\u5217 <\/p>\n

[<\/p>\n

4<\/p>\n

,<\/p>\n

2<\/p>\n

,<\/p>\n

20<\/p>\n

,<\/p>\n

30<\/p>\n

,<\/p>\n

40<\/p>\n

]<\/p>\n

[4, 2, 20, 30, 40]<\/p>\n

<\/span><\/span>[<\/span>4<\/span>,<\/span><\/span>2<\/span>,<\/span><\/span>20<\/span>,<\/span><\/span>30<\/span>,<\/span><\/span>40<\/span>]<\/span><\/span><\/span><\/span><\/span> \u7684\u5b57\u5178\u5e8f\u5c0f\u4e8e <\/p>\n

[<\/p>\n

4<\/p>\n

,<\/p>\n

2<\/p>\n

,<\/p>\n

100<\/p>\n

,<\/p>\n

1<\/p>\n

]<\/p>\n

[4, 2, 100, 1]<\/p>\n

<\/span><\/span>[<\/span>4<\/span>,<\/span><\/span>2<\/span>,<\/span><\/span>100<\/span>,<\/span><\/span>1<\/span>]<\/span><\/span><\/span><\/span><\/span>，\u5e76\u4e14\u5e8f\u5217 <\/p>\n

[<\/p>\n

5<\/p>\n

,<\/p>\n

4<\/p>\n

,<\/p>\n

3<\/p>\n

,<\/p>\n

2<\/p>\n

]<\/p>\n

[5,4,3,2]<\/p>\n

<\/span><\/span>[<\/span>5<\/span>,<\/span><\/span>4<\/span>,<\/span><\/span>3<\/span>,<\/span><\/span>2<\/span>]<\/span><\/span><\/span><\/span><\/span> \u7684\u5b57\u5178\u5e8f\u5c0f\u4e8e\u5e8f\u5217 <\/p>\n

[<\/p>\n

5<\/p>\n

,<\/p>\n

4<\/p>\n

,<\/p>\n

3<\/p>\n

,<\/p>\n

2<\/p>\n

,<\/p>\n

1<\/p>\n

]<\/p>\n

[5,4,3,2,1]<\/p>\n

<\/span><\/span>[<\/span>5<\/span>,<\/span><\/span>4<\/span>,<\/span><\/span>3<\/span>,<\/span><\/span>2<\/span>,<\/span><\/span>1<\/span>]<\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n

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

\u8f93\u5165\u4e00\u884c\u4e00\u4e2a\u6574\u6570 <\/p>\n

n<\/p>\n

n<\/p>\n

<\/span><\/span>n<\/span><\/span><\/span><\/span><\/span>，\u8868\u793a\u8981\u6c42\u7684\u5e8f\u5217\u4e2d\u97f3\u7b26\u7684\u8282\u62cd\u503c\u4e4b\u548c\u3002<\/p>\n

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

\u8f93\u51fa\u7b2c\u4e00\u884c\u5305\u542b\u4e00\u4e2a\u6574\u6570 <\/p>\n

k<\/p>\n

k<\/p>\n

<\/span><\/span>k<\/span><\/span><\/span><\/span><\/span>，\u8868\u793a\u627e\u5230\u7684\u8fd9\u4e2a\u5e8f\u5217\u7684\u957f\u5ea6\u3002<\/p>\n

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

k<\/p>\n

k<\/p>\n

<\/span><\/span>k<\/span><\/span><\/span><\/span><\/span> \u4e2a\u6b63\u6574\u6570，\u8868\u793a\u627e\u5230\u7684\u8fd9\u4e2a\u5e8f\u5217\u3002\u8fd9\u4e2a\u5e8f\u5217\u5e94\u8be5\u662f\u5b57\u5178\u5e8f\u6700\u5c0f\u4e14\u4e25\u683c\u9012\u51cf\u7684，\u5e76\u4e14\u8fd9\u4e9b\u6b63\u6574\u6570\u7684\u4e8c\u8fdb\u5236\u8868\u793a\u4e2d <\/p>\n

1<\/p>\n

1<\/p>\n

<\/span><\/span>1<\/span><\/span><\/span><\/span><\/span> \u7684\u4e2a\u6570\u548c\u5e94\u6070\u597d\u662f <\/p>\n

n<\/p>\n

n<\/p>\n

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

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

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

3<\/p>\n

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

2
\n3 1<\/p>\n

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

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

10<\/p>\n

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

6
\n7 5 4 3 2 1<\/p>\n

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

\u5bf9\u4e8e <\/p>\n

100<\/p>\n

%<\/p>\n

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

<\/span><\/span>100%<\/span><\/span><\/span><\/span><\/span> \u7684\u6570\u636e，\u6ee1\u8db3：<\/p>\n

<\/p>\n

1<\/p>\n

\u2264<\/p>\n

n<\/p>\n

\u2264<\/p>\n

1<\/p>\n

0<\/p>\n

6<\/p>\n

1\\\\le n\\\\le 10 ^ 6<\/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>6<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/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>
\ninline<\/span> int<\/span> popcnt<\/span>(<\/span>int<\/span> x)<\/span> {<\/span>
\nint<\/span> cnt =<\/span> 0<\/span>;<\/span>
\nwhile<\/span> (<\/span>x)<\/span> {<\/span>
\ncnt +=<\/span> x &<\/span> 1<\/span>;<\/span>
\nx >>=<\/span> 1<\/span>;<\/span> \/\/x \/= 2<\/span>
\n}<\/span>
\nreturn<\/span> cnt;<\/span>
\n}<\/span>
\nint<\/span> n,<\/span> m,<\/span> sum =<\/span> 0<\/span>;<\/span>
\nvector<<\/span>int<\/span>><\/span> DragonPig;<\/span>
\nint<\/span> main<\/span>(<\/span>)<\/span> {<\/span>
\nscanf<\/span>(<\/span>"%d"<\/span>,<\/span> &<\/span>n)<\/span>;<\/span>
\nm =<\/span> n;<\/span>
\nwhile<\/span> (<\/span>m—<\/span>)<\/span> {<\/span>
\nsum +=<\/span> popcnt<\/span>(<\/span>m +<\/span> 1<\/span>)<\/span>;<\/span>
\n}<\/span>
\nfor<\/span> (<\/span>int<\/span> i =<\/span> n;<\/span> i >=<\/span> 1<\/span>;<\/span> i—<\/span>)<\/span> {<\/span>
\nif<\/span> (<\/span>sum –<\/span> popcnt<\/span>(<\/span>i)<\/span> >=<\/span> n)<\/span> {<\/span>\/\/\u5224\u65ad\u80fd\u4e0d\u80fd\u53bb\u6389<\/span>
\nsum -=<\/span> popcnt<\/span>(<\/span>i)<\/span>;<\/span>
\n}<\/span> else<\/span> {<\/span>
\nDragonPig.<\/span>push_back<\/span>(<\/span>i)<\/span>;<\/span>\/\/\u4e0d\u80fd\u53bb\u6389\u5c31\u628a\u5b83\u52a0\u5165\u5e8f\u5217<\/span>
\n}<\/span>
\n}<\/span>
\nprintf<\/span>(<\/span>"%d\\\\n"<\/span>,<\/span> (<\/span>int<\/span>)<\/span>DragonPig.<\/span>size<\/span>(<\/span>)<\/span>)<\/span>;<\/span>
\nfor<\/span> (<\/span>auto<\/span> dragonpig :<\/span> DragonPig)<\/span> {<\/span>
\nprintf<\/span>(<\/span>"%d "<\/span>,<\/span> dragonpig)<\/span>;<\/span>
\n}<\/span><\/p>\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

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