{"id":363,"date":"2013-03-23T20:08:00","date_gmt":"2013-03-23T12:08:00","guid":{"rendered":"http:\/\/nike0good.jp1.rpvhost.net\/267"},"modified":"2013-03-23T20:08:00","modified_gmt":"2013-03-23T12:08:00","slug":"cf_286a_lucky_permutation-series_to_find_the_law","status":"publish","type":"post","link":"https:\/\/nike0good.com\/?p=363","title":{"rendered":"CF 286A(Lucky Permutation-\u6570\u5217\u627e\u89c4\u5f8b)"},"content":{"rendered":"
\n
\n
\n
\n
\n
A. Lucky Permutation<\/div>\n
\n
\ntime limit per test<\/div>\n

2 seconds<\/p><\/div>\n

\n
\nmemory limit per test<\/div>\n

256 megabytes<\/p><\/div>\n

\n
\ninput<\/div>\n

standard input<\/p><\/div>\n

\n
\noutput<\/div>\n

standard output<\/p><\/div>\n<\/div>\n

\n

\nA permutation p<\/em><\/span> of size n<\/em><\/span> is the sequence p<\/em>1<\/sub>,\u2009p<\/em>2<\/sub>,\u2009...,\u2009p<\/em>n<\/em><\/sub><\/span>,
\n consisting of n<\/em><\/span> distinct integers, each of them is from 1<\/span> to n<\/em><\/span> (1\u2009\u2264\u2009p<\/em>i<\/em><\/sub>\u2009\u2264\u2009n<\/em>)<\/span>.<\/p>\n

\nA lucky permutation is such permutation p<\/em><\/span>, that any integer i<\/em><\/span> (1\u2009\u2264\u2009i<\/em>\u2009\u2264\u2009n<\/em>)<\/span> meets
\n this condition p<\/em>p<\/em><\/sub>i<\/em><\/sub>\u2009=\u2009n<\/em>\u2009-\u2009i<\/em>\u2009+\u20091<\/span>.<\/p>\n

\nYou have integer n<\/em><\/span>. Find some lucky permutation p<\/em><\/span> of
\n size n<\/em><\/span>.<\/p>\n<\/div>\n

\n
\nInput<\/div>\n

\nThe first line contains integer n<\/em><\/span> (1\u2009\u2264\u2009n<\/em>\u2009\u2264\u2009105<\/sup><\/span>)
\n \u2014 the required permutation size.<\/p>\n<\/div>\n

\n
\nOutput<\/div>\n

\nPrint "-1" (without the quotes) if the lucky permutation p<\/em><\/span> of size n<\/em><\/span> doesn't
\n exist.<\/p>\n

\nOtherwise, print n<\/em><\/span> distinct integers p<\/em>1<\/sub>,\u2009p<\/em>2<\/sub>,\u2009...,\u2009p<\/em>n<\/em><\/sub><\/span> (1\u2009\u2264\u2009p<\/em>i<\/em><\/sub>\u2009\u2264\u2009n<\/em>)<\/span> after
\n a space \u2014 the required permutation.<\/p>\n

\nIf there are multiple answers, you can print any of them.<\/p>\n<\/div>\n

\n
\nSample test(s)<\/div>\n
\n
\n
\ninput<\/div>\n
1\n<\/pre>\n<\/div>\n
\n
\noutput<\/div>\n
1\n<\/pre>\n<\/div>\n
\n
\ninput<\/div>\n
2\n<\/pre>\n<\/div>\n
\n
\noutput<\/div>\n
-1\n<\/pre>\n<\/div>\n
\n
\ninput<\/div>\n
4\n<\/pre>\n<\/div>\n
\n
\noutput<\/div>\n
2 4 1 3\n<\/pre>\n<\/div>\n
\n
\ninput<\/div>\n
5\n<\/pre>\n<\/div>\n
\n
\noutput<\/div>\n
2 5 3 1 4 <\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
\n<\/p>\n
\u627e\u89c4\u5f8b<\/span><\/p>\n
\u5982\u56fe\u6240\u793a<\/span><\/p>\n
\"\"
\n<\/span><\/p>\n

\n<\/span><\/p>\n
<\/span><\/p>\n
#include<cstdio>\n#include<cstring>\n#include<cstdlib>\n#include<cctype>\n#include<iostream>\nusing namespace std;\nint n;\nint main()\n{\n\tcin>>n;\n\tif (n%4>1)\n\t{\n\t\tcout<<"-1n";\n\t\treturn 0;\n\t}\n\tfor (int i=1;i<=n\/2;i++)\n\t{\n\t\tif (i%2) cout<<i+1<<' ';\n\t\telse cout<<(n-i+2)<<' ';\n\t}\n\tint m=n\/2;\n\tif (n%4==1)\n\t{\n\t\tcout<<m+1;\n\t\tif (m+1<n) cout<<' ';\n\t\tm++;\n\t}\n\tfor (int i=m+1;i<n;i++)\n\t{\n\t\tif ((i-m)%2) cout<<n-i<<' ';\n\t\telse cout<<i-1<<' ';\n\t}\n\tif (m+1<n) cout<<(n-1);\n\tcout<<endl;\n\treturn 0;\n}<\/pre><\/p>\n","protected":false},"excerpt":{"rendered":"
A. Lucky Permutation time limit per test 2 seconds memo […]<\/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":[81],"class_list":["post-363","post","type-post","status-publish","format-standard","hentry","category-defaultcategory","tag-series"],"yoast_head":"\nCF 286A(Lucky Permutation-\u6570\u5217\u627e\u89c4\u5f8b) - 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=363\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"CF 286A(Lucky Permutation-\u6570\u5217\u627e\u89c4\u5f8b) - nike0good\" \/>\n<meta property=\"og:description\" content=\"A. 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