{"id":42,"date":"2013-02-24T17:13:06","date_gmt":"2013-02-24T09:13:06","guid":{"rendered":"http:\/\/nike0good.jp1.rpvhost.net\/?p=42"},"modified":"2013-02-24T17:13:06","modified_gmt":"2013-02-24T09:13:06","slug":"%e6%95%b0%e4%bd%8d%e5%92%8c%e4%b9%98%e7%a7%af%e9%ab%98%e7%b2%be%e7%bb%84%e5%90%88%e6%95%b0%e5%ad%a6","status":"publish","type":"post","link":"https:\/\/nike0good.com\/?p=42","title":{"rendered":"\u6570\u4f4d\u548c\u4e58\u79ef(\u9ad8\u7cbe\u7ec4\u5408\u6570\u5b66)"},"content":{"rendered":"<p style=\"margin: 0px; padding: 0px; color: #000000; font-family: Arial; font-size: 14px; line-height: 26px; background-color: #ffffff;\">Problem 3 \u6570\u4f4d\u548c\u4e58\u79ef(digit.cpp\/c\/pas)<\/p>\n<p style=\"margin: 0px; padding: 0px; color: #000000; font-family: Arial; font-size: 14px; line-height: 26px; background-color: #ffffff;\">\u3010\u9898\u76ee\u63cf\u8ff0\u3011<\/p>\n<p style=\"margin: 0px; padding: 0px; color: #000000; font-family: Arial; font-size: 14px; line-height: 26px; background-color: #ffffff;\">\u4e00\u4e2a\u6570\u5b57\u7684\u6570\u4f4d\u548c\u4e58\u79ef\u4e3a\u5176\u5404\u4f4d\u6570\u5b57\u7684\u4e58\u79ef\u3002\u6c42\u6240\u6709\u7684N\u4f4d\u6570\u4e2d\u6709\u591a\u5c11\u4e2a\u6570\u7684\u6570\u4f4d\u548c\u4e58\u79ef\u6070\u597d\u4e3aK\u3002\u8bf7\u6ce8\u610f\uff0c\u8fd9\u91cc\u7684N\u4f4d\u6570\u662f\u53ef\u4ee5\u6709\u524d\u5bfc\u96f6\u7684\u3002\u6bd4\u598201\uff0c02\u89c6\u4e3a\u4e8c\u4f4d\u6570\uff0c\u4f46\u662f\u4ed6\u4eec\u7684\u6570\u4f4d\u548c\u4e58\u79ef\u90fd\u662f0\u3002<\/p>\n<p style=\"margin: 0px; padding: 0px; color: #000000; font-family: Arial; font-size: 14px; line-height: 26px; background-color: #ffffff;\">\u3010\u8f93\u5165\u683c\u5f0f\u3011<\/p>\n<p style=\"margin: 0px; padding: 0px; color: #000000; font-family: Arial; font-size: 14px; line-height: 26px; background-color: #ffffff;\">\u4e00\u884c\u4e24\u4e2a\u6574\u6570N\uff0cK<\/p>\n<p style=\"margin: 0px; padding: 0px; color: #000000; font-family: Arial; font-size: 14px; line-height: 26px; background-color: #ffffff;\">\u3010\u8f93\u51fa\u683c\u5f0f\u3011<\/p>\n<p style=\"margin: 0px; padding: 0px; color: #000000; font-family: Arial; font-size: 14px; line-height: 26px; background-color: #ffffff;\">\u4e00\u4e2a\u884c\u4e00\u4e2a\u6574\u6570\u8868\u793a\u7ed3\u679c\u3002<\/p>\n<p style=\"margin: 0px; padding: 0px; color: #000000; font-family: Arial; font-size: 14px; line-height: 26px; background-color: #ffffff;\">\u3010\u6837\u4f8b\u8f93\u5165\u3011<\/p>\n<p style=\"margin: 0px; padding: 0px; color: #000000; font-family: Arial; font-size: 14px; line-height: 26px; background-color: #ffffff;\">2 3<\/p>\n<p style=\"margin: 0px; padding: 0px; color: #000000; font-family: Arial; font-size: 14px; line-height: 26px; background-color: #ffffff;\">\u3010\u6837\u4f8b\u8f93\u51fa\u3011<\/p>\n<p style=\"margin: 0px; padding: 0px; color: #000000; font-family: Arial; font-size: 14px; line-height: 26px; background-color: #ffffff;\">2<\/p>\n<p style=\"margin: 0px; padding: 0px; color: #000000; font-family: Arial; font-size: 14px; line-height: 26px; background-color: #ffffff;\">\u3010\u6837\u4f8b\u8f93\u51652\u3011<\/p>\n<p style=\"margin: 0px; padding: 0px; color: #000000; font-family: Arial; font-size: 14px; line-height: 26px; background-color: #ffffff;\">2 0<\/p>\n<p style=\"margin: 0px; padding: 0px; color: #000000; font-family: Arial; font-size: 14px; line-height: 26px; background-color: #ffffff;\">\u3010\u6837\u4f8b\u8f93\u51fa2\u3011<\/p>\n<p style=\"margin: 0px; padding: 0px; color: #000000; font-family: Arial; font-size: 14px; line-height: 26px; background-color: #ffffff;\">19<\/p>\n<p style=\"margin: 0px; padding: 0px; color: #000000; font-family: Arial; font-size: 14px; line-height: 26px; background-color: #ffffff;\">\u3010\u6570\u636e\u8303\u56f4\u3011<\/p>\n<p style=\"margin: 0px; padding: 0px; color: #000000; font-family: Arial; font-size: 14px; line-height: 26px; background-color: #ffffff;\">\u5bf9\u4e8e20%\uff1aN &lt;= 6\u3002<\/p>\n<p style=\"margin: 0px; padding: 0px; color: #000000; font-family: Arial; font-size: 14px; line-height: 26px; background-color: #ffffff;\">\u5bf9\u4e8e50%\uff1aN&lt;=16<\/p>\n<p style=\"margin: 0px; padding: 0px; color: #000000; font-family: Arial; font-size: 14px; line-height: 26px; background-color: #ffffff;\">\u5b58\u5728\u53e6\u591630%\uff1aK=0\u3002<\/p>\n<p style=\"margin: 0px; padding: 0px; color: #000000; font-family: Arial; font-size: 14px; line-height: 26px; background-color: #ffffff;\">\u5bf9\u4e8e100%\uff1aN&nbsp;&lt;= 50\uff0c0 &lt;= K &lt;= 10^9\u3002<\/p>\n<p style=\"margin: 0px; padding: 0px; color: #000000; font-family: Arial; font-size: 14px; line-height: 26px; background-color: #ffffff;\">\u6cd51\uff1a<\/p>\n<p style=\"margin: 0px; padding: 0px; color: #000000; font-family: Arial; font-size: 14px; line-height: 26px; background-color: #ffffff;\">k=0\u65f6\uff0cans=10^n-9^n<\/p>\n<p style=\"margin: 0px; padding: 0px; color: #000000; font-family: Arial; font-size: 14px; line-height: 26px; background-color: #ffffff;\">\u5426\u5219\u5c31\u7528\u8bb0\u5fc6\u5316\u641c\u7d22\u586b1..9\u7684\u4e2a\u6570<\/p>\n<p style=\"margin: 0px; padding: 0px; color: #000000; font-family: Arial; font-size: 14px; line-height: 26px; background-color: #ffffff;\">\n<p><code lang=\"cpp\">#include<cstdio><br \/>\n#include<cstring><br \/>\n#include<algorithm><br \/>\n#include<functional><br \/>\n#include<iostream><br \/>\n#include<cstdlib><br \/>\n#include<cmath><br \/>\n#include<cctype><br \/>\nusing namespace std;<br \/>\n#define MAXN (50+10)<br \/>\n#define F (10000)<br \/>\nint n,k;<br \/>\nstruct highn<br \/>\n{<br \/>\n int len,a[900];<br \/>\n highn():len(1){memset(a,0,sizeof(a));}<br \/>\n highn(int x)<br \/>\n {<br \/>\n memset(a,0,sizeof(a));<br \/>\n int i=0;<br \/>\n while (x)<br \/>\n {<br \/>\n a[++i]=x%F;<br \/>\n x\/=F;<br \/>\n }<br \/>\n len=i;<br \/>\n }<br \/>\n void print()<br \/>\n {<br \/>\n printf(\"%d\",a[len]);<br \/>\n for (int i=len-1;i;i--)<br \/>\n {<br \/>\n \/\/ if (a[i]&lt;10000) printf(\"0\");<br \/>\n if (a[i]&lt;1000) printf(\"0\");<br \/>\n if (a[i]&lt;100) printf(\"0\");<br \/>\n if (a[i]&lt;10) printf(\"0\");<br \/>\n printf(\"%d\",a[i]);<br \/>\n }<\/p>\n<p> }<br \/>\n friend highn operator+(highn& a,highn& b)<br \/>\n {<br \/>\n highn c;<br \/>\n int maxlen=max(a.len,b.len);<br \/>\n for (int i=1;i< =maxlen;i++)\n {\n c.a[i]=c.a[i]+a.a[i]+b.a[i];\n if (c.a[i]>F)<br \/>\n {<br \/>\n c.a[i+1]+=c.a[i]\/F;<br \/>\n c.a[i]%=F;<br \/>\n }<br \/>\n }<br \/>\n c.len=maxlen+1;<br \/>\n while (!c.a[c.len]&&c.len>1) c.len--;<br \/>\n return c;<\/p>\n<p> }<br \/>\n friend highn operator-(highn& a,highn& b)<br \/>\n {<br \/>\n highn c;<br \/>\n int maxlen=a.len;<br \/>\n for (int i=1;i< =maxlen;i++)\n {\n c.a[i]+=a.a[i]-b.a[i];\n if (c.a[i]&lt;0)\n {\n c.a[i+1]--;\n c.a[i]+=F;\n }\n }\n c.len=maxlen;\n while (!c.a[c.len]&&c.len>1) c.len--;<br \/>\n return c;<br \/>\n }<br \/>\n friend highn operator*(highn& a,highn& b)<br \/>\n {<br \/>\n highn c;<br \/>\n for (int i=1;i< =a.len;i++)\n {\n for (int j=1;j<=b.len;j++)\n {\n c.a[i+j-1]+=a.a[i]*b.a[j];\n if (c.a[i+j-1]>F)<br \/>\n {<br \/>\n c.a[i+j]+=c.a[i+j-1]\/F;<br \/>\n c.a[i+j-1]%=F;<br \/>\n }<br \/>\n }<br \/>\n }<br \/>\n c.len=a.len+b.len+1;<br \/>\n while (!c.a[c.len]&&c.len>1) c.len--;<br \/>\n return c;<br \/>\n }<\/p>\n<p>};<br \/>\nhighn pow2(highn a,int b)<br \/>\n{<br \/>\n highn c;<br \/>\n if (!b) return 1;<br \/>\n if (b%2)<br \/>\n {<br \/>\n c=pow2(a,b\/2);<br \/>\n c=c*c;<br \/>\n c=c*a;<br \/>\n }<br \/>\n else<br \/>\n {<br \/>\n c=pow2(a,b\/2);<br \/>\n c=c*c;<br \/>\n }<br \/>\n return c;<br \/>\n}<br \/>\nint a[11],tot,b[11];<br \/>\nhighn ans,C[51][51];<br \/>\nvoid dfs(int deep,highn rel,int hasget)<br \/>\n{<br \/>\n if (n<hasget ) {return;}\n if (deep==0||n==hasget)\n {\n for (int i=1;i<=9;i++) if (b[i]) return;\n ans=ans+rel;\n return;\n }\n else if (deep==9)\n {\n int m=min(n-hasget,b[3]\/2);\n for (int i=0;i<=m;i++)\n {\n b[3]-=i*2;\n dfs(8,rel*C[n-hasget][i],hasget+i);\n b[3]+=i*2;\n }\n }\n else if (deep==8)\n {\n int m=min(n-hasget,b[2]\/3);\n for (int i=0;i<=m;i++)\n {\n b[2]-=i*3;\n dfs(6,rel*C[n-hasget][i],hasget+i);\n b[2]+=i*3;\n }\n }\n else if (deep==6)\n {\n int m=min(n-hasget,min(b[2],b[3]));\n for (int i=0;i<=m;i++)\n {\n b[2]-=i;b[3]-=i;\n dfs(4,rel*C[n-hasget][i],hasget+i);\n b[2]+=i,b[3]+=i;\n }\n }\n else if (deep==4)\n {\n int m=min(n-hasget,b[2]\/2);\n for (int i=0;i<=m;i++)\n {\n b[2]-=i*2;\n dfs(2,rel*C[n-hasget][i],hasget+i);\n b[2]+=i*2;\n }\n }\n else\n {\n if (b[2]+b[3]+b[5]+b[7]+hasget<=n)\n {\n int f[4]={2,3,5,7};\n for (int i=0;i&lt;4;i++)\n {\n rel=rel*C[n-hasget][b[f[i]]];\n hasget+=b[f[i]];\n }\n ans=ans+rel;\n return ;\n }\n }\n}\nint main()\n{\n\/\/ highn a=1254321,b=7612345;\n\/\/ highn c=pow(a,3);\n\/\/ c.print();\n freopen(\"digit.in\",\"r\",stdin);\n freopen(\"digit.out\",\"w\",stdout);\n scanf(\"%d%d\",&n,&k);\n if (!k)\n {\n highn c=pow2(10,n),d=pow2(9,n);\n highn e=c-d;\n e.print();\n }\n else\n {\n\n memset(a,0,sizeof(a));\n tot=0;\n C[0][0]=1;\n for (int i=1;i<=n;i++)\n {\n C[i][0]=C[i][1]=1;\n for (int j=1;j<=i;j++)\n {\n C[i][j]=C[i-1][j]+C[i-1][j-1];\n }\n }\n\/\/ C[16][10].print();\n\n for(int i=2;i<=9;i++)\n {\n while (k%i==0)\n {\n a[i]++;\n k\/=i;\n tot++;\n }\n }\n memcpy(b,a,sizeof(a));\n if (k==1) dfs(9,1,0);\n ans.print();\n }\n cout<<endl;\n return 0;\n}<\/code><\/p>\n<p style=\"margin: 0px; padding: 0px; color: #000000; font-family: Arial; font-size: 14px; line-height: 26px; background-color: #ffffff;\">\u6cd52\uff1a<\/p>\n<p style=\"margin: 0px; padding: 0px; color: #000000; font-family: Arial; font-size: 14px; line-height: 26px; background-color: #ffffff;\">f[i][j][k][l][m]\u8868\u793a\u586b\u5230\u7b2ci\u4e2a\u6570,2,3,5,7\u5206\u522b\u7528j,k,l,m\u4e2a\u7684\u65b9\u6848\u6570<\/p>\n<p style=\"margin: 0px; padding: 0px; color: #000000; font-family: Arial; font-size: 14px; line-height: 26px; background-color: #ffffff;\">\u8003\u8651\u540e\u9762\u586b1..9\u7684\u60c5\u51b5(\u663e\u7136\u4e0d\u53ef\u80fd\u586b0)<\/p>\n<p style=\"margin: 0px; padding: 0px; color: #000000; font-family: Arial; font-size: 14px; line-height: 26px; background-color: #ffffff;\">Bug\uff1an=50,C(n,m)\u6700\u5927\u4e3aC(50,25),\u53ef\u7528long long.<\/p>\n<p style=\"margin: 0px; padding: 0px; color: #000000; font-family: Arial; font-size: 14px; line-height: 26px; background-color: #ffffff;\">----<\/p>\n<p style=\"margin: 0px; padding: 0px; color: #000000; font-family: Arial; font-size: 14px; line-height: 26px; background-color: #ffffff;\">----<\/p>\n<p style=\"margin: 0px; padding: 0px; color: #000000; font-family: Arial; font-size: 14px; line-height: 26px; background-color: #ffffff;\">\u6cd53\uff1a<\/p>\n<p style=\"margin: 0px; padding: 0px; color: #000000; font-family: Arial; font-size: 14px; line-height: 26px; background-color: #ffffff;\">\u5bb9\u6613\u53d1\u73b0<\/p>\n<p style=\"margin: 0px; padding: 0px; color: #000000; font-family: Arial; font-size: 14px; line-height: 26px; background-color: #ffffff;\">k=2^a*3^b*5^c*7^d\u65f6\u624d\u6709\u89e3<\/p>\n<p style=\"margin: 0px; padding: 0px; color: #000000; font-family: Arial; font-size: 14px; line-height: 26px; background-color: #ffffff;\">\u800c\u4e145,7\u53d6\u4e86\u5f53\u4e14\u53ea\u5f53\u6570\u4f4d\u4e3a5,7\u7684\u60c5\u51b5.<\/p>\n<p style=\"margin: 0px; padding: 0px; color: #000000; font-family: Arial; font-size: 14px; line-height: 26px; background-color: #ffffff;\">2-2,4,6,8<\/p>\n<p style=\"margin: 0px; padding: 0px; color: #000000; font-family: Arial; font-size: 14px; line-height: 26px; background-color: #ffffff;\">3-3,6,9<\/p>\n<p style=\"margin: 0px; padding: 0px; color: #000000; font-family: Arial; font-size: 14px; line-height: 26px; background-color: #ffffff;\">5-5<\/p>\n<p style=\"margin: 0px; padding: 0px; color: #000000; font-family: Arial; font-size: 14px; line-height: 26px; background-color: #ffffff;\">7-7<\/p>\n<p style=\"margin: 0px; padding: 0px; color: #000000; font-family: Arial; font-size: 14px; line-height: 26px; background-color: #ffffff;\">\u6545\u53ef\u53ea\u8003\u86512,3,\u4e0d\u8003\u86515,7<\/p>\n<p style=\"margin: 0px; padding: 0px; color: #000000; font-family: Arial; font-size: 14px; line-height: 26px; background-color: #ffffff;\">f[i][j]k]\u8868\u793ai\u4f4d\uff0c\u53d6\u4e86j\u4e2a2\u548ck\u4e2a3\u540e\u7684\u65b9\u6848\u6570\uff0c<\/p>\n<p style=\"margin: 0px; padding: 0px; color: #000000; font-family: Arial; font-size: 14px; line-height: 26px; background-color: #ffffff;\">\u56e0\u4e3a\u53ef\u4ee5\u75281\u586b\u5145\uff0c<\/p>\n<p style=\"margin: 0px; padding: 0px; color: #000000; font-family: Arial; font-size: 14px; line-height: 26px; background-color: #ffffff;\">\u6240\u4ee5\u7b54\u6848=\u2211f[p][j][k]*C(p,j+k)*C(n,a[5])*C(n-a[5],a[7]) (p&lt;=n-a[5]-a[7])<\/p>\n<p><\/hasget><\/cctype><\/cmath><\/cstdlib><\/iostream><\/functional><\/algorithm><\/cstring><\/cstdio><\/code><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Problem 3 \u6570\u4f4d\u548c\u4e58\u79ef(digit.cpp\/c\/pas) \u3010\u9898\u76ee\u63cf\u8ff0\u3011 \u4e00\u4e2a\u6570\u5b57\u7684\u6570\u4f4d\u548c\u4e58\u79ef\u4e3a\u5176\u5404\u4f4d\u6570 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_coblocks_attr":"","_coblocks_dimensions":"","_coblocks_responsive_height":"","_coblocks_accordion_ie_support":"","footnotes":""},"categories":[12],"tags":[110,126],"class_list":["post-42","post","type-post","status-publish","format-standard","hentry","category-algorithm","tag-110","tag-126"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>\u6570\u4f4d\u548c\u4e58\u79ef(\u9ad8\u7cbe\u7ec4\u5408\u6570\u5b66) - nike0good<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/nike0good.com\/?p=42\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u6570\u4f4d\u548c\u4e58\u79ef(\u9ad8\u7cbe\u7ec4\u5408\u6570\u5b66) - nike0good\" \/>\n<meta property=\"og:description\" content=\"Problem 3 \u6570\u4f4d\u548c\u4e58\u79ef(digit.cpp\/c\/pas) \u3010\u9898\u76ee\u63cf\u8ff0\u3011 \u4e00\u4e2a\u6570\u5b57\u7684\u6570\u4f4d\u548c\u4e58\u79ef\u4e3a\u5176\u5404\u4f4d\u6570 [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/nike0good.com\/?p=42\" \/>\n<meta property=\"og:site_name\" content=\"nike0good\" \/>\n<meta property=\"article:published_time\" content=\"2013-02-24T09:13:06+00:00\" \/>\n<meta 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