{"id":380,"date":"2013-04-04T14:32:00","date_gmt":"2013-04-04T06:32:00","guid":{"rendered":"http:\/\/nike0good.jp1.rpvhost.net\/284"},"modified":"2013-04-04T14:32:00","modified_gmt":"2013-04-04T06:32:00","slug":"bzoj_3098_the_hash_killer_ii-birthday_attack","status":"publish","type":"post","link":"https:\/\/nike0good.com\/?p=380","title":{"rendered":"BZOJ 3098(Hash Killer II-\u751f\u65e5\u653b\u51fb)"},"content":{"rendered":"<\/p>\n

<\/p>\n

3098: Hash Killer II<\/h2>\n

Time Limit: <\/span>5 Sec  Memory Limit: <\/span>128 MBSec  Special Judge<\/span>
\nSubmit: <\/span>66  Solved: <\/span>22
\n[Submit<\/a>][Status<\/a>][Discuss<\/a>]<\/center><\/p>\n

Description<\/h2>\n
\n

\u8fd9\u5929\u5929\u6c14\u4e0d\u9519\uff0chzhwcmhf\u795e\u7287\u7ed9VFleaKing\u51fa\u4e86\u4e00\u9053\u9898\uff1a
\n\u7ed9\u4f60\u4e00\u4e2a\u957f\u5ea6\u4e3aN\u7684\u5b57\u7b26\u4e32S\uff0c\u6c42\u6709\u591a\u5c11\u4e2a\u4e0d\u540c\u7684\u957f\u5ea6\u4e3aL\u7684\u5b50\u4e32\u3002
\n\u5b50\u4e32\u7684\u5b9a\u4e49\u662fS[l]\u3001S[l + 1]\u3001... S[r]\u8fd9\u6837\u8fde\u7eed\u7684\u4e00\u6bb5\u3002
\n\u4e24\u4e2a\u5b57\u7b26\u4e32\u88ab\u8ba4\u4e3a\u662f\u4e0d\u540c\u7684\u5f53\u4e14\u4ec5\u5f53\u67d0\u4e2a\u4f4d\u7f6e\u4e0a\u7684\u5b57\u7b26\u4e0d\u540c\u3002<\/span><\/p>\n

VFleaKing\u4e00\u770b\u89c9\u5f97\u8fd9\u4e0d\u662fHash\u7684\u88f8\u9898\u4e48\uff01\u4e8e\u662f\u679c\u65ad\u5199\u4e86\u54c8\u5e0c + \u6392\u5e8f\u3002
\n\u800chzhwcmhf\u795e\u7287\u5fc3\u91cc\u81ea\u7136\u77e5\u9053\uff0c\u8fd9\u9898\u5c31\u662f\u540e\u7f00\u6570\u7ec4\u7684height\u4e2d < L\u7684\u4e2a\u6570 + 1\uff0c\u5c31\u662f\u540e\u7f00\u81ea\u52a8\u673a\u4e0a\u4ee3\u8868\u7684\u957f\u5ea6\u533a\u95f4\u5305\u542bL\u7684\u7ed3\u70b9\u4e2a\u6570\uff0c\u5c31\u662f\u540e\u7f00\u6811\u6df1\u5ea6\u4e3aL\u7684\u7ed3\u70b9\u7684\u6570\u91cf\u3002
\n\u4f46\u662fhzhwcmhf\u795e\u7287\u770b\u4e86\u770bVFleaKing\u7684\u505a\u6cd5\u8868\u793a\u975e\u5e38\u6c57\u3002\u4e8e\u662f\u60f3\u5361\u6389\u4ed6\u3002<\/span><\/p>\n

VFleaKing\u4f7f\u7528\u7684\u662f\u5b57\u5178\u5e8f\u54c8\u5e0c\uff0c\u5176\u4ee3\u7801\u5927\u81f4\u5982\u4e0b\uff1a
\nu64 val = 0;
\nfor (int i = 0; i < l; i++)
\n val = (val * base + s[i] - 'a') % Mod;
\nu64\u662f\u65e0\u7b26\u53f7int64\uff0c\u8303\u56f4\u662f[0, 2^64)\u3002
\nbase\u662f\u4e00\u4e2a\u5e38\u91cf\uff0cVFleaKing\u4f1a\u6839\u636e\u5fc3\u60c5\u51b3\u5b9a\u5176值\u3002
\nMod\u7b49\u4e8e1000000007\u3002
\nVFleaKing\u8fd8\u6c42\u51fa\u6765\u4e86base ^ l % Mod\uff0c\u5373base\u7684l\u6b21\u65b9\u9664\u4ee5Mod\u7684\u4f59\u6570\uff0c\u8fd9\u6837\u5c31\u80fd\u65b9\u4fbf\u5730\u6c42\u51fa\u6240\u6709\u957f\u5ea6\u4e3aL\u7684\u5b50\u4e32\u7684\u54c8\u5e0c值\u3002
\n\u7136\u540eVFleaKing\u7ed9\u54c8\u5e0c值\u6392\u5e8f\uff0c\u53bb\u91cd\uff0c\u6c42\u51fa\u6709\u591a\u5c11\u4e2a\u4e0d\u540c\u7684\u54c8\u5e0c值\uff0c\u628a\u8fd9\u4e2a\u6570\u4f5c\u4e3a\u7ed3\u679c\u3002
\n\u5176\u7b97\u6cd5\u7684C++\u4ee3\u7801\u5982\u4e0b\uff1a<\/span><\/p>\n

typedef unsigned long long u64;<\/span><\/p>\n

const int MaxN = 100000;<\/span><\/p>\n

inline int hash_handle(const char *s, const int &n, const int &l, const int &base)
\n{
\n const int Mod = 1000000007;<\/span><\/p>\n

 u64 hash_pow_l = 1;
\n for (int i = 1; i <= l; i++)
\n  hash_pow_l = (hash_pow_l * base) % Mod;<\/span><\/p>\n

 int li_n = 0;
\n static int li[MaxN];<\/span><\/p>\n

 u64 val = 0;
\n for (int i = 0; i < l; i++)
\n  val = (val * base + s[i] - 'a') % Mod;
\n li[li_n++] = val;
\n for (int i = l; i < n; i++)
\n {
\n  val = (val * base + s[i] - 'a') % Mod;
\n  val = (val + Mod - ((s[i - l] - 'a') * hash_pow_l) % Mod) % Mod;
\n  li[li_n++] = val;
\n }<\/span><\/p>\n

 sort(li, li + li_n);
\n li_n = unique(li, li + li_n) - li;
\n return li_n;
\n}<\/span><\/p>\n

hzhwcmhf\u5f53\u7136\u77e5\u9053\u600e\u4e48\u5361\u5566\uff01\u4f46\u662f\u4ed6\u60f3\u8003\u8003\u4f60\u3002
\n<\/span><\/p>\n<\/div>\n

Input<\/h2>\n
\n

\u6ca1\u6709\u8f93\u5165\u3002
\n<\/span><\/p>\n<\/div>\n

Output<\/h2>\n
\n

\u4f60\u9700\u8981\u8f93\u51fa\u4e00\u7ec4\u6570\u636e\u4f7f\u5f97VFleaKing\u7684\u4ee3\u7801WA\u6389\u3002\u6211\u4eec\u4f1a\u4f7f\u7528Special Judge\u68c0\u67e5\u4f60\u7684\u7ed3\u679c\u7684\u6b63\u786e\u6027\u3002
\n\u7b2c\u4e00\u884c\u4e24\u4e2a\u7528\u7a7a格\u9694\u5f00\u7684\u6570n\u3001l\u3002
\n\u7b2c\u4e8c\u884c\u662f\u4e00\u4e2a\u957f\u5ea6\u4e3an\u7684\u5b57\u7b26\u4e32\u3002\u53ea\u80fd\u5305\u542b'a'~'z'\u3002
\n\u9700\u8981\u4fdd\u8bc11 <= n <= 10^5, 1 <= l <= n\uff0c
\n\u4e0d\u7b26\u5408\u4ee5\u4e0a格\u5f0f\u4f1aWA\u3002
\n\u4e0d\u8981\u6709\u591a\u4f59\u5b57\u7b26\uff0c\u5f88\u53ef\u80fd\u5bfc\u81f4\u4f60WA\u3002<\/span><\/p>\n<\/p>\n<\/div>\n

Sample Input<\/h2>\n
\n\u6ca1\u6709

\n<\/span><\/div>\n

Sample Output<\/h2>\n
\n8 4

\nbuaabuaa

\n\uff08\u5f53\u7136\u8fd9\u4e2a\u8f93\u51fa\u662f\u4f1aWA\u7684\uff09

\n<\/span><\/div>\n

HINT<\/h2>\n
\n

\u5982\u679c\u4e00\u4e2a\u623f\u95f4\u91cc\u670923\u4e2a\u621623\u4e2a\u4ee5\u4e0a\u7684\u4eba\uff0c\u90a3\u4e48\u81f3\u5c11\u6709\u4e24\u4e2a\u4eba\u7684\u751f\u65e5\u76f8\u540c\u7684\u6982\u7387\u8981\u5927\u4e8e50%\u3002<\/p>\n<\/p>\n<\/div>\n

Source<\/h2>\n
\n

VFleaKing & hzhwcmhf
\n<\/a><\/p>\n


\n<\/a><\/div>\n<\/div>\n

<\/p>\n

\n<\/p>\n

\u751f\u65e5\u653b\u51fb\uff1a\u5982\u679c\u4f60\u5728n\u4e2a\u6570\u4e2d\u968f\u673a\u9009\u6570\uff0c\u90a3\u4e48\u6700\u591a\u9009\u221an\u6b21\u5c31\u80fd\u9009\u5230\u76f8\u540c\u7684\u6570\uff08\u4e0d\u8003\u8651Rp broken)<\/span><\/p>\n

\u540c\u6837\u7684\uff0c\u8fd9\u9898\u7684Hash值\u57280\u52301000000007.<\/span><\/p>\n

\u90a3\u5c31\u8981\u9009\u5dee\u4e0d\u591a10^5\u6b21<\/span><\/p>\n

\u552f\u4e00\u6ce8\u610f\u7684\u662fl\u8981\u53d6\u5927\uff0c\u4f7f\u5f97\u65b9\u6848\u6570\u8d85\u8fc7Mod<\/span><\/p>\n

\u5426\u5219\u5c31\u4e0d\u53ef\u80fd\u67092\u4e2a\u6570\u6709\u76f8\u540c\u7684Hash值<\/span><\/p>\n

<\/span><\/p>\n

#include<cstdio>\n#include<cstdlib>\n#include<ctime>\n#include<cstring>\n#include<iostream>\nusing namespace std;\n#define MAXN (100000)\nint n=MAXN,l=13;\nint main()\n{\n\tcout<<n<<' '<<l<<endl;\n\tfor(int i=1;i<=n;i++) cout<<char(rand()%26+'a');\n\tcout<<endl;\n\treturn 0;\n}<\/pre>\n<\/p>\n

\n<\/span><\/p>\n

\n<\/span><\/p>\n

\n<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"
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