{"rsdb":{"rid":"314468","subhead":"","postdate":"0","aid":"227646","fid":"49","uid":"1","topic":"1","content":"
\n

\u4e2d\u56fd\u8c61\u68cb<\/h2> \n

\u9898\u76ee<\/a><\/h3> \n

\u3010\u9898\u76ee\u63cf\u8ff0\u3011<\/p> \n

\u8fd9\u6b21\u5c0f\u53ef\u53ef\u60f3\u89e3\u51b3\u7684\u96be\u9898\u548c\u4e2d\u56fd\u8c61\u68cb\u6709\u5173\uff0c\u5728\u4e00\u4e2aN\u884cM\u5217\u7684\u68cb\u76d8\u4e0a\uff0c\u8ba9\u4f60\u653e\u82e5\u5e72\u4e2a\u70ae\uff08\u53ef\u4ee5\u662f0\u4e2a\uff09\uff0c\u4f7f\u5f97\u6ca1\u6709\u4e00\u4e2a\u70ae\u53ef\u4ee5\u653b\u51fb\u5230\u53e6\u4e00\u4e2a\u70ae\uff0c\u8bf7\u95ee\u6709\u591a\u5c11\u79cd\u653e\u7f6e\u65b9\u6cd5\u3002<\/p> \n

\u5927\u5bb6\u80af\u5b9a\u5f88\u6e05\u695a\uff0c\u5728\u4e2d\u56fd\u8c61\u68cb\u4e2d\u70ae\u7684\u884c\u8d70\u65b9\u5f0f\u662f\uff1a\u4e00\u4e2a\u70ae\u653b\u51fb\u5230\u53e6\u4e00\u4e2a\u70ae\uff0c\u5f53\u4e14\u4ec5\u5f53\u5b83\u4eec\u5728\u540c\u4e00\u884c\u6216\u540c\u4e00\u5217\u4e2d\uff0c\u4e14\u5b83\u4eec\u4e4b\u95f4\u6070\u597d \u6709\u4e00\u4e2a\u68cb\u5b50\u3002<\/p> \n

\u4f60\u4e5f\u6765\u548c\u5c0f\u53ef\u53ef\u4e00\u8d77\u953b\u70bc\u4e00\u4e0b\u601d\u7ef4\u5427\uff01<\/p> \n

\u3010\u8f93\u5165\u683c\u5f0f\u3011<\/p> \n

\u4e00\u884c\u5305\u542b\u4e24\u4e2a\u6574\u6570N\uff0cM\uff0c\u4e4b\u95f4\u7531\u4e00\u4e2a\u7a7a\u683c\u9694\u5f00\u3002<\/p> \n

\u3010\u8f93\u51fa\u683c\u5f0f\u3011<\/p> \n

\u603b\u5171\u7684\u65b9\u6848\u6570\uff0c\u7531\u4e8e\u8be5\u503c\u53ef\u80fd\u5f88\u5927\uff0c\u53ea\u9700\u7ed9\u51fa\u65b9\u6848\u6570\u6a219999973\u7684\u7ed3\u679c\u3002<\/p> \n

\u3010\u6570\u636e\u89c4\u6a21\u3011<\/p> \n

100%\u7684\u6570\u636e\u4e2dN\u548cM\u5747\u4e0d\u8d85\u8fc7100<\/p> \n

50%\u7684\u6570\u636e\u4e2dN\u548cM\u81f3\u5c11\u6709\u4e00\u4e2a\u6570\u4e0d\u8d85\u8fc78<\/p> \n

30%\u7684\u6570\u636e\u4e2dN\u548cM\u5747\u4e0d\u8d85\u8fc76<\/p> \n

\u89e3\u6790<\/h3> \n

\u52a8\u6001\u89c4\u5212\u9898\u3002<\/p> \n

\u4ee4f[i][j][k]\u8868\u793a\u524di\u884c,\u653e\u4e00\u4e2a\u70ae\u7684\u6709j\u5217,\u653e\u4e24\u4e2a\u70ae\u7684\u6709k\u5217,\u8fb9\u754c\u4e3af[0][0][0]=1,,<\/p> \n

\u5219\u72b6\u6001\u8f6c\u79fb\u65b9\u7a0b\u6709\u4ee5\u4e0b\u51e0\u79cd\uff1a<\/p> \n

1\u3001\u4e0d\u653e:f[i][j][k]=f[i][j][k]+f[i-1][j][k];<\/p> \n

2\u3001\u653e\u4e00\u4e2a\u5728\u96f6\u4e2a\u7684\u90a3\u5217:f[i][j][k]=f[i][j][k]+f[i-1][j-1][k]*(m-j-k+1);<\/p> \n

3\u3001\u653e\u4e00\u4e2a\u5728\u4e00\u4e2a\u7684\u90a3\u5217:f[i][j][k]=f[i][j][k]+f[i-1][j+1][k-1]*(j+1);<\/p> \n

4\u3001\u5206\u522b\u653e\u4e00\u4e2a\u5728\u4e00\u4e2a\u7684\u4e24\u5217:f[i][j][k]=f[i][j][k]+f[i-1][j+2][k-2]*(j+1)*(j+2)\/2;<\/p> \n

5\u3001\u5206\u522b\u653e\u4e00\u4e2a\u5728\u96f6\u4e2a\u7684\u4e00\u5217\u548c\u4e00\u4e2a\u7684\u4e00\u5217:f[i][j][k]=f[i][j][k]+f[i-1][j][k-1]*j*(m-j-k+1);<\/p> \n

6\u3001\u5206\u522b\u653e\u4e00\u4e2a\u5728\u96f6\u4e2a\u7684\u4e24\u5217:f[i][j][k]=f[i][j][k]+f[i-1][j-2][k]*(m-j-k+1)*(m-j-k+2)\/2\u3002<\/p> \n

\u8981\u6ce8\u610f\u5404\u79cd\u60c5\u51b5\u7684\u5148\u51b3\u6761\u4ef6\uff01\u6700\u540e\u7684\u7b54\u6848\u662f\u6240\u6709f[n][j][k]\u7684\u603b\u548c\u3002\u8bb0\u5f97\u5f00long long\uff01\uff01\uff01<\/p> \n

Code<\/h3> \n
\n \"\"\n \"\" \n
\n 
#include <algorithm>\r\n#include <\/span><iostream>\r\n#include <\/span><cstring>\r\n#include <\/span><string<\/span>>\r\n#include <\/span><cstdio>\r\n#include <\/span><cmath>\r\nusing<\/span> namespace<\/span> std;\r\n<\/span>const<\/span> int<\/span> mod=9999973<\/span>;\r\n<\/span>int<\/span> n,m;\r\n<\/span>long<\/span> long<\/span> f[101<\/span>][101<\/span>][101<\/span>],ans;\r\n<\/span>\/\/<\/span>f[i][j][k]\u8868\u793a\u524di\u884c,\u653e\u4e00\u4e2a\u70ae\u7684\u6709j\u5217,\u653e\u4e24\u4e2a\u70ae\u7684\u6709k\u5217 <\/span>\r\nint<\/span> main()\r\n{\r\n    memset(f,<\/span>0<\/span>,sizeof<\/span>(f));\r\n    cin<\/span>>>n>>m;\r\n    f[<\/span>0<\/span>][0<\/span>][0<\/span>]=1<\/span>;\r\n    <\/span>for<\/span>(int<\/span> i=1<\/span>;i<=n;i++)\r\n        <\/span>for<\/span>(int<\/span> j=0<\/span>;j<=m;j++)\r\n            <\/span>for<\/span>(int<\/span> k=0<\/span>;k<=m-j;k++)\r\n            {\r\n                f[i][j][k]<\/span>=(f[i][j][k]+f[i-1<\/span>][j][k])%mod;\/\/<\/span>\u4e0d\u653e<\/span>\r\n                if<\/span>(j)\/\/<\/span>\u653e\u4e00\u4e2a\u5728\u96f6\u4e2a\u7684\u90a3\u5217<\/span>\r\n                    f[i][j][k]=(f[i][j][k]+f[i-1<\/span>][j-1<\/span>][k]*(m-j-k+1<\/span>))%mod;\/\/<\/span>(m-j-k+1)\u5373\u539f\u6765\u96f6\u4e2a\u7684\u603b\u5217\u6570 <\/span>\r\n                if<\/span>(k)\/\/<\/span>\u653e\u4e00\u4e2a\u5728\u4e00\u4e2a\u7684\u90a3\u5217<\/span>\r\n                    f[i][j][k]=(f[i][j][k]+f[i-1<\/span>][j+1<\/span>][k-1<\/span>]*(j+1<\/span>))%mod;\/\/<\/span>(j+1)\u5373\u539f\u6765\u4e00\u4e2a\u7684\u603b\u5217\u6570 <\/span>\r\n                if<\/span>(k>=2<\/span>)\/\/<\/span>\u5206\u522b\u653e\u4e00\u4e2a\u5728\u4e00\u4e2a\u7684\u4e24\u5217<\/span>\r\n                    f[i][j][k]=(f[i][j][k]+f[i-1<\/span>][j+2<\/span>][k-2<\/span>]*(j+1<\/span>)*(j+2<\/span>)\/2<\/span>)%mod;\/\/<\/span>(j+2)\u5373\u539f\u6765\u6709\u4e24\u5217\u4e3a\u4e00\u4e2a\u7684\u603b\u5217\u6570 <\/span>\r\n                if<\/span>(j&&k)\/\/<\/span>\u5206\u522b\u653e\u4e00\u4e2a\u5728\u96f6\u4e2a\u7684\u4e00\u5217\u548c\u4e00\u4e2a\u7684\u4e00\u5217<\/span>\r\n                    f[i][j][k]=(f[i][j][k]+f[i-1<\/span>][j][k-1<\/span>]*j*(m-j-k+1<\/span>))%mod;\r\n                <\/span>if<\/span>(j>=2<\/span>)\/\/<\/span>\u5206\u522b\u653e\u4e00\u4e2a\u5728\u96f6\u4e2a\u7684\u4e24\u5217<\/span>\r\n                    f[i][j][k]=(f[i][j][k]+f[i-1<\/span>][j-2<\/span>][k]*(m-j-k+1<\/span>)*(m-j-k+2<\/span>)\/2<\/span>)%mod; \r\n            }\r\n    <\/span>for<\/span>(int<\/span> j=0<\/span>;j<=m;j++)\r\n        <\/span>for<\/span>(int<\/span> k=0<\/span>;k<=m-j;k++)\r\n            ans<\/span>=(ans+f[n][j][k])%mod;\/\/<\/span>\u7d2f\u52a0\u7b54\u6848     <\/span>\r\n    cout<<ans;\r\n    <\/span>return<\/span> 0<\/span>;\r\n}<\/span><\/pre> \n  <\/div> \n  View Code<\/span>\n <\/div> \n 
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