bzoj3473: 字符串
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Description
给定n个字符串,询问每个字符串有多少子串(不包括空串)是所有n个字符串中至少k个字符串的子串?
Input
第一行两个整数n,k。
接下来n行每行一个字符串。
Output
一行n个整数,第i个整数表示第i个字符串的答案。
Sample Input
3 1
abc
a
ab
Sample Output
6 1 3
HINT
对于 100% 的数据,1<=n,k<=10^5,所有字符串总长不超过10^5,字符串只包含小写字母。
Source
Adera 1 杯冬令营模拟赛
用广义SAM做..
用set维护到达当前点所属串的个数,顺着fail启发式合并到根
询问的时候,每走到一个点表示的是这个串的前缀,而我们要统计的就是这个前缀最长后缀使得这个后缀符合条件,然后ans加上这个最长后缀长度就好了,因为1~最长后缀都可以到达..
#include <cstdio>#include <cstring>#include <cstdlib>#include <algorithm>#include <set>#define LL long longusing namespace std;const LL Maxn = 100010;const LL lg = 20;LL F[Maxn*2], d[Maxn*2], ch[Maxn*2][26], tot, now, f[Maxn*2];char s[Maxn*2]; LL len;LL Rsort[Maxn*2], rk[Maxn*2];LL n, K;set <LL> S[Maxn*2];set <LL> :: iterator it;LL copy ( LL p, LL c ){ LL x = ++tot, y = ch[p][c]; d[x] = d[p]+1; for ( LL i = 0; i < 26; i ++ ) ch[x][i] = ch[y][i]; F[x] = F[y]; F[y] = x; while ( ~p && ch[p][c] == y ){ ch[p][c] = x; p = F[p]; } return x;}void add ( LL c ){ LL p, o; if ( p = ch[now][c] ){ if ( d[p] != d[now]+1 ) copy ( now, c ); now = ch[now][c]; } else { d[o=++tot] = d[now]+1; p = now; now = o; while ( ~p && !ch[p][c] ){ ch[p][c] = o; p = F[p]; } F[o] = ~p ? ( d[p]+1 == d[ch[p][c]] ? ch[p][c] : copy ( p, c ) ) : 0; }}void merge ( LL x, LL y ){ while ( S[y].begin () != S[y].end () ){ it = S[y].begin (); S[x].insert (*it); S[y].erase (it); }}LL _max ( LL x, LL y ){ return x > y ? x : y; }int main (){ LL i, j, k; scanf ( "%lld%lld", &n, &K ); len = 0; for ( i = 1; i <= n; i ++ ){ scanf ( "%s", s+len ); len = strlen (s); s[len++] = '$'; } F[0] = -1; now = 0; LL ss = 0; for ( i = 0; i < len; i ++ ){ if ( s[i] != '$' ){ add (s[i]-'a'); S[now].insert (ss); } else { now = 0; ss ++; } } for ( i = 1; i <= tot; i ++ ) Rsort[d[i]] ++; for ( i = 1; i <= len; i ++ ) Rsort[i] += Rsort[i-1]; for ( i = tot; i >= 1; i -- ) rk[Rsort[d[i]]--] = i; for ( i = tot; i >= 1; i -- ){ if ( S[rk[i]].size () >= K ) f[rk[i]] = d[rk[i]]; merge ( F[rk[i]], rk[i] ); } for ( i = 1; i <= tot; i ++ ) f[rk[i]] = _max ( f[F[rk[i]]], f[rk[i]] ); j = 0; for ( i = 1; i <= n; i ++ ){ if ( s[j] == '$' ) j ++; now = 0; LL ans = 0; while ( s[j] != '$' ){ LL c = s[j]-'a'; now = ch[now][c]; ans += f[now]; j ++; } printf ( "%lld ", ans ); } printf ( "\n" ); return 0;}
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