{"id":385,"date":"2013-04-14T14:48:00","date_gmt":"2013-04-14T06:48:00","guid":{"rendered":"http:\/\/nike0good.jp1.rpvhost.net\/289"},"modified":"2013-04-14T14:48:00","modified_gmt":"2013-04-14T06:48:00","slug":"bzoj_2111_zjoi2010_perm_arrangement_count_complete_binary_tree_model_-_multiplicative_inverse___series_score_notation","status":"publish","type":"post","link":"https:\/\/nike0good.com\/?p=385","title":{"rendered":"BZOJ 2111([ZJOI2010]Perm \u6392\u5217\u8ba1\u6570-\u4e58\u6cd5\u9006\u5143+\u5b8c\u5168\u4e8c\u53c9\u6811\u6a21\u578b+\u6570\u5217\u5206\u6570\u8868\u793a\u6cd5)"},"content":{"rendered":"<p><center style=\"font-family:arial,verdana,helvetica,sans-serif; font-size:14px\"><\/p>\n<h2 style=\"color:blue\">2111: [ZJOI2010]Perm \u6392\u5217\u8ba1\u6570<\/h2>\n<p><span class=\"green\">Time Limit:&nbsp;<\/span>10 Sec&nbsp;&nbsp;<span class=\"green\">Memory Limit:&nbsp;<\/span>259 MB<br \/>\n<span class=\"green\">Submit:&nbsp;<\/span>478&nbsp;&nbsp;<span class=\"green\">Solved:&nbsp;<\/span>283<br \/>\n[<a href=\"http:\/\/www.lydsy.com\/JudgeOnline\/submitpage.php?id=2111\" style=\"color:blue; text-decoration:initial\">Submit<\/a>][<a href=\"http:\/\/www.lydsy.com\/JudgeOnline\/problemstatus.php?id=2111\" style=\"color:blue; text-decoration:initial\">Status<\/a>][<a href=\"http:\/\/www.lydsy.com\/JudgeOnline\/bbs.php?id=2111\" style=\"color:blue; text-decoration:initial\">Discuss<\/a>]<\/center><\/p>\n<h2 style=\"font-family:arial,verdana,helvetica,sans-serif; color:blue\">Description<\/h2>\n<div class=\"content\" style=\"font-family:arial,verdana,helvetica,sans-serif; height:auto; background-color:rgb(228,240,248); margin:0px; padding:0px 20px; font-size:14px\">\n\u79f0\u4e00\u4e2a1,2,...,N\u7684\u6392\u5217P1,P2...,Pn\u662fMagic\u7684\uff0c\u5f53\u4e14\u4ec5\u5f532&lt;=i&lt;=N\u65f6\uff0cPi&gt;Pi\/2. \u8ba1\u7b971\uff0c2\uff0c...N\u7684\u6392\u5217\u4e2d\u6709\u591a\u5c11\u662fMagic\u7684\uff0c\u7b54\u6848\u53ef\u80fd\u5f88\u5927\uff0c\u53ea\u80fd\u8f93\u51fa\u6a21P\u4ee5\u540e\u7684&#20540;<\/div>\n<h2 style=\"font-family:arial,verdana,helvetica,sans-serif; color:blue\">Input<\/h2>\n<div class=\"content\" style=\"font-family:arial,verdana,helvetica,sans-serif; height:auto; background-color:rgb(228,240,248); margin:0px; padding:0px 20px; font-size:14px\">\n\u8f93\u5165\u6587\u4ef6\u7684\u7b2c\u4e00\u884c\u5305\u542b\u4e24\u4e2a\u6574\u6570 n\u548cp\uff0c\u542b\u4e49\u5982\u4e0a\u6240\u8ff0\u3002<\/div>\n<h2 style=\"font-family:arial,verdana,helvetica,sans-serif; color:blue\">Output<\/h2>\n<div class=\"content\" style=\"font-family:arial,verdana,helvetica,sans-serif; height:auto; background-color:rgb(228,240,248); margin:0px; padding:0px 20px; font-size:14px\">\n\u8f93\u51fa\u6587\u4ef6\u4e2d\u4ec5\u5305\u542b\u4e00\u4e2a\u6574\u6570\uff0c\u8868\u793a\u8ba1\u7b971,2,\u22ef, \ufffd\u7684\u6392\u5217\u4e2d\uff0c Magic\u6392\u5217\u7684\u4e2a\u6570\u6a21 p\u7684&#20540;\u3002<\/div>\n<h2 style=\"font-family:arial,verdana,helvetica,sans-serif; color:blue\">Sample Input<\/h2>\n<div class=\"content\" style=\"font-family:arial,verdana,helvetica,sans-serif; height:auto; background-color:rgb(228,240,248); margin:0px; padding:0px 20px; font-size:14px\">\n<span class=\"sampledata\" style=\"font-family:monospace; white-space:pre; background-color:rgb(141,184,255); font-size:18px\">20 23<br \/>\n<\/span><\/div>\n<h2 style=\"font-family:arial,verdana,helvetica,sans-serif; color:blue\">Sample Output<\/h2>\n<div class=\"content\" style=\"font-family:arial,verdana,helvetica,sans-serif; height:auto; background-color:rgb(228,240,248); margin:0px; padding:0px 20px; font-size:14px\">\n<span class=\"sampledata\" style=\"font-family:monospace; white-space:pre; background-color:rgb(141,184,255); font-size:18px\">16<br \/>\n<\/span><\/div>\n<h2 style=\"font-family:arial,verdana,helvetica,sans-serif; color:blue\">HINT<\/h2>\n<div class=\"content\" style=\"font-family:arial,verdana,helvetica,sans-serif; height:auto; background-color:rgb(228,240,248); margin:0px; padding:0px 20px; font-size:14px\">\n<p>100%\u7684\u6570\u636e\u4e2d\uff0c1 \u2264 \ufffd N \u2264 106, P\ufffd \u2264 10^9\uff0cp\u662f\u4e00\u4e2a\u8d28\u6570\u3002<\/p>\n<\/div>\n<h2 style=\"font-family:arial,verdana,helvetica,sans-serif; color:blue\">\n<\/h2>\n<div>\u663e\u7136\u53ef\u4ee5\u628a\u8fd9\u9898\u770b\u6210-\u6709n\u4e2a\u8282\u70b9\u7684\u5b8c\u5168\u4e8c\u53c9\u6811\uff08\u5c0f\u6839\u5806\u6027\u8d28\uff09\u7684\u6392\u5217\u6570\u3002<\/div>\n<div>\u90a3\u5c31\u628a\u6700\u5c0f\u7684\u90a3\u4e2a\u62ce\u51fa\u6765\uff0c\u5176\u5b83\u7684\u70b9\u968f\u4fbf\u585e\u51652\u8fb9\uff08\u4e0d\u5f71\u54cd\u7ed3\u679c\uff09\u3002<\/div>\n<div>\u63a5\u4e0b\u6765\u5c31\u662f\u628a\u7b54\u6848\u5206\u89e3\u6210\u5206\u6570\uff0c\u4e58\u6cd5\u9006\u5143\u5565\u7684\u3002\u3002\u3002<\/div>\n<div>lyd\u7684<a href=\"http:\/\/hi.baidu.com\/lydrainbowcat\/item\/7b8780a88833adaa29ce9d83\">\u9898\u89e3<\/a><\/div>\n<div>\n<\/div>\n<div>\n<pre name=\"code\" class=\"cpp\">#include&lt;cstdio&gt;\n#include&lt;cmath&gt;\n#include&lt;functional&gt;\n#include&lt;iostream&gt;\n#include&lt;algorithm&gt;\nusing namespace std;\n#define MAXN (1000000+1)\n#define eps (1e-9)\nint n,F;\nint exgcd(int a,int b,long long &amp;x,long long &amp;y){if (!b) {x=1,y=0;return a;}int ans=exgcd(b,a%b,x,y);long long z=x;x=y;y=z-(a\/b)*y;return ans;}\nlong long f[MAXN],g[MAXN],jc[MAXN];\nlong long mulinv(int b)\n{\n\tlong long x,y;\n\texgcd(b,F,x,y);\n\/\/\treturn ((-x)\/F*F+F+x)%F;\n\treturn (x+abs(x)\/F*F+F)%F;\n}\nint main()\n{\n\tscanf(&quot;%d%d&quot;,&amp;n,&amp;F);\n\tf[0]=g[0]=f[1]=g[1]=1%F;\n\tjc[0]=jc[1]=1;\n\tfor (int i=2;i&lt;=n;i++) jc[i]=jc[i-1]*i%F;\n\tfor(int i=2;i&lt;=n;i++)\n\t{\n\t\tint dep=(int)(log(i)\/log(2)+eps)+1;\n\t\tint l=(int)pow(2.0,dep-2)-1;\n\/\/\t\tcout&lt;&lt;l&lt;&lt;' '&lt;&lt;(int)(eps+pow(2.0,dep-2))&lt;&lt;' '&lt;&lt;(i-1-2*l)&lt;&lt;' ';\n\t\tl+=min((i-1-2*l),(int)(eps+pow(2.0,dep-2)));\n\t\tint r=i-l-1;\n\/\/\t\tcout&lt;&lt;i&lt;&lt;' '&lt;&lt;dep&lt;&lt;' '&lt;&lt;l&lt;&lt;' '&lt;&lt;r&lt;&lt;' '&lt;&lt;f[l]&lt;&lt;' '&lt;&lt;f[r]&lt;&lt;endl;\n\t\tf[i]=f[l]*f[r]%F*jc[i-1]%F;\n\t\tg[i]=g[l]*g[r]%F*jc[l]%F*jc[r]%F;\n\t}\n\/\/\tcout&lt;&lt;f[n]&lt;&lt;' '&lt;&lt;g[n]&lt;&lt;endl;\n\tcout&lt;&lt;f[n]*mulinv(g[n])%F&lt;&lt;endl;\n\treturn 0;\n}<\/pre>\n<\/div>\n<div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>2111: [ZJOI2010]Perm \u6392\u5217\u8ba1\u6570 Time Limit:&nbsp;10 Sec&nbsp; [&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":[3],"tags":[54],"class_list":["post-385","post","type-post","status-publish","format-standard","hentry","category-defaultcategory","tag-multiplicative_inverse"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>BZOJ 2111([ZJOI2010]Perm \u6392\u5217\u8ba1\u6570-\u4e58\u6cd5\u9006\u5143+\u5b8c\u5168\u4e8c\u53c9\u6811\u6a21\u578b+\u6570\u5217\u5206\u6570\u8868\u793a\u6cd5) - 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=385\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"BZOJ 2111([ZJOI2010]Perm \u6392\u5217\u8ba1\u6570-\u4e58\u6cd5\u9006\u5143+\u5b8c\u5168\u4e8c\u53c9\u6811\u6a21\u578b+\u6570\u5217\u5206\u6570\u8868\u793a\u6cd5) - nike0good\" \/>\n<meta property=\"og:description\" content=\"2111: [ZJOI2010]Perm \u6392\u5217\u8ba1\u6570 Time Limit:&nbsp;10 Sec&nbsp; 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