{"id":366,"date":"2013-03-25T13:39:00","date_gmt":"2013-03-25T05:39:00","guid":{"rendered":"http:\/\/nike0good.jp1.rpvhost.net\/270"},"modified":"2013-03-25T13:39:00","modified_gmt":"2013-03-25T05:39:00","slug":"cf_286c_main_sequence-greedy_matching_brackets","status":"publish","type":"post","link":"https:\/\/nike0good.com\/?p=366","title":{"rendered":"CF 286C(Main Sequence-\u8d2a\u5fc3\u62ec\u53f7\u5339\u914d)"},"content":{"rendered":"
\n
\n
\n
\n
\n
C. Main Sequence<\/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

\nAs you know, Vova has recently become a new shaman in the city of Ultima Thule. So, he has received the shaman knowledge about the correct bracket sequences. The shamans of Ultima Thule have been using lots of different types of brackets since prehistoric times.
\n A bracket type is a positive integer. The shamans define a correct bracket sequence as follows:<\/p>\n

\n

    \n
  • \nAn empty sequence is a correct bracket sequence.<\/li>\n
  • \nIf {a<\/em>1<\/sub>,\u2009a<\/em>2<\/sub>,\u2009...,\u2009a<\/em>l<\/em><\/sub>}<\/span> and {b<\/em>1<\/sub>,\u2009b<\/em>2<\/sub>,\u2009...,\u2009b<\/em>k<\/em><\/sub>}<\/span> are
    \n correct bracket sequences, then sequence {a<\/em>1<\/sub>,\u2009a<\/em>2<\/sub>,\u2009...,\u2009a<\/em>l<\/em><\/sub>,\u2009b<\/em>1<\/sub>,\u2009b<\/em>2<\/sub>,\u2009...,\u2009b<\/em>k<\/em><\/sub>}<\/span> (their
    \n concatenation) also is a correct bracket sequence.<\/li>\n
  • \nIf {a<\/em>1<\/sub>,\u2009a<\/em>2<\/sub>,\u2009...,\u2009a<\/em>l<\/em><\/sub>}<\/span> \u2014
    \n is a correct bracket sequence, then sequence \"\" also is a correct bracket sequence, where v<\/em><\/span> (v<\/em>\u2009>\u20090)<\/span> is
    \n an integer.<\/li>\n<\/ul>\n

    \n

    \nFor example, sequences {1,\u20091,\u2009\u2009-\u20091,\u20092,\u2009\u2009-\u20092,\u2009\u2009-\u20091}<\/span> and {3,\u2009\u2009-\u20093}<\/span> are
    \n correct bracket sequences, and {2,\u2009\u2009-\u20093}<\/span> is not.<\/p>\n

    \nMoreover, after Vova became a shaman, he learned the most important<\/span> correct bracket sequence {x<\/em>1<\/sub>,\u2009x<\/em>2<\/sub>,\u2009...,\u2009x<\/em>n<\/em><\/sub>}<\/span>,
    \n consisting of n<\/em><\/span>integers. As sequence x<\/em><\/span> is the most
    \n important, Vova decided to encrypt it just in case.<\/p>\n

    \nEncrypting consists of two sequences. The first sequence {p<\/em>1<\/sub>,\u2009p<\/em>2<\/sub>,\u2009...,\u2009p<\/em>n<\/em><\/sub>}<\/span> contains
    \n types of brackets, that is, p<\/em>i<\/em><\/sub>\u2009=\u2009|x<\/em>i<\/em><\/sub>|<\/span> (1\u2009\u2264\u2009i<\/em>\u2009\u2264\u2009n<\/em><\/span>).
    \n The second sequence {q<\/em>1<\/sub>,\u2009q<\/em>2<\/sub>,\u2009...,\u2009q<\/em>t<\/em><\/sub>}<\/span> contains t<\/em><\/span> integers
    \n \u2014 \u8fd9\u4e9b\u5730\u65b9\u5fc5\u987b\u53d6\u8d1f\u6570<\/strong> {x<\/em>1<\/sub>,\u2009x<\/em>2<\/sub>,\u2009...,\u2009x<\/em>n<\/em><\/sub>}<\/span>.<\/p>\n

    \nUnfortunately, Vova forgot the main sequence. But he was lucky enough to keep the encryption: sequences {p<\/em>1<\/sub>,\u2009p<\/em>2<\/sub>,\u2009...,\u2009p<\/em>n<\/em><\/sub>}<\/span> and{q<\/em>1<\/sub>,\u2009q<\/em>2<\/sub>,\u2009...,\u2009q<\/em>t<\/em><\/sub>}<\/span>.
    \n Help Vova restore sequence x<\/em><\/span> by the encryption. If there are multiple sequences that correspond to the encryption, restore any of them. If there are no
    \n such sequences, you should tell so.<\/p>\n<\/div>\n

    \n
    \nInput<\/div>\n

    \nThe first line of the input contains integer n<\/em><\/span> (1\u2009\u2264\u2009n<\/em>\u2009\u2264\u2009106<\/sup><\/span>).
    \n The second line contains n<\/em><\/span> 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\u2009109<\/sup>)<\/span>.<\/p>\n

    \nThe third line contains integer t<\/em><\/span> (0\u2009\u2264\u2009t<\/em>\u2009\u2264\u2009n<\/em><\/span>),
    \n followed by t<\/em><\/span> distinct integers q<\/em>1<\/sub>,\u2009q<\/em>2<\/sub>,\u2009...,\u2009q<\/em>t<\/em><\/sub><\/span> (1\u2009\u2264\u2009q<\/em>i<\/em><\/sub>\u2009\u2264\u2009n<\/em>)<\/span>.<\/p>\n

    \nThe numbers in each line are separated by spaces.<\/p>\n<\/div>\n

    \n
    \nOutput<\/div>\n

    \nPrint a single string "NO<\/span>" (without the quotes) if Vova is mistaken and a suitable sequence {x<\/em>1<\/sub>,\u2009x<\/em>2<\/sub>,\u2009...,\u2009x<\/em>n<\/em><\/sub>}<\/span> doesn't
    \n exist.<\/p>\n

    \nOtherwise, in the first line print "YES<\/span>" (without the quotes) and in the second line print n<\/em><\/span> integers x<\/em>1<\/sub>,\u2009x<\/em>2<\/sub>,\u2009...,\u2009x<\/em>n<\/em><\/sub><\/span> (|x<\/em>i<\/em><\/sub>|\u2009=\u2009p<\/em>i<\/em><\/sub>; x<\/em>q<\/em><\/sub>j<\/em><\/sub>\u2009<\u20090)<\/span>.
    \n If there are multiple sequences that correspond to the encrypting, you are allowed to print any of them.<\/p>\n<\/div>\n

    \n
    \nSample test(s)<\/div>\n
    \n
    \n
    \ninput<\/div>\n
    2\n1 1\n0\n<\/pre>\n<\/div>\n
    \n
    \noutput<\/div>\n
    YES\n1 -1\n<\/pre>\n<\/div>\n
    \n
    \ninput<\/div>\n
    4\n1 1 1 1\n1 3\n<\/pre>\n<\/div>\n
    \n
    \noutput<\/div>\n
    YES\n1 1 -1 -1\n<\/pre>\n<\/div>\n
    \n
    \ninput<\/div>\n
    3\n1 1 1\n0\n<\/pre>\n<\/div>\n
    \n
    \noutput<\/div>\n
    NO\n<\/pre>\n<\/div>\n
    \n
    \ninput<\/div>\n
    4\n1 2 2 1\n2 3 4\n<\/pre>\n<\/div>\n
    \n
    \noutput<\/div>\n
    YES\n1 2 -2 -1\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
    \u8d2a\u5fc3\uff0c\u4ece\u540e\u5411\u524d\u505a\uff0c\u5c3d\u53ef\u80fd\u53d6\u5de6\u62ec\u53f7\u3002<\/span><\/p>\n
    <\/span><\/p>\n
    #include<cstdio>\n#include<cstring>\n#include<cstdlib>\n#include<iostream>\n#include<functional>\n#include<algorithm>\n#include<stack>\nusing namespace std;\n#define MAXN (1000000+10)\n#define MAXP (1000000000+10)\nint n,m,a[MAXN],ans[MAXN],tot;\nbool b[MAXN];\nint s[MAXN],size=0;\nint main()\n{\n\tmemset(b,0,sizeof(b));\n\tscanf("%d",&n);tot=n+1;\n\tif (n%2) {printf("NOn");return 0;}\n\tfor (int i=1;i<=n;i++) scanf("%d",&a[i]);\n\tscanf("%d",&m);\n\tfor (int i=1;i<=m;i++)\n\t{\n\t\tint p;\n\t\tscanf("%d",&p);\n\t\tb[p]=1;\n\t}\n\tfor (int i=n;i;i--)\n\t{\n\t\tif (size==0||s[size]!=a[i]||b[i])\n\t\t{\n\t\t\ts[++size]=a[i];ans[--tot]=-a[i];\n\t\t}\n\t\telse ans[--tot]=s[size--];\n\t}\n\tif (size) printf("NOn");\n\telse\n\t{\n\t\tprintf("YESn");\n\t\tfor (int i=1;i<n;i++) printf("%d ",ans[i]);printf("%dn",ans[n]);\n\t}\n\n\treturn 0;\n}<\/pre>\n<\/p>\n
    <\/p>\n","protected":false},"excerpt":{"rendered":"
    C. Main Sequence time limit per test 2 seconds memory l […]<\/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":[81,118],"class_list":["post-366","post","type-post","status-publish","format-standard","hentry","category-defaultcategory","tag-series","tag-greedy"],"yoast_head":"\nCF 286C(Main Sequence-\u8d2a\u5fc3\u62ec\u53f7\u5339\u914d) - 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=366\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"CF 286C(Main Sequence-\u8d2a\u5fc3\u62ec\u53f7\u5339\u914d) - nike0good\" \/>\n<meta property=\"og:description\" content=\"C. 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