喵星球上的点名

http://www.lydsy.com/JudgeOnline/problem.php?id=2754

SA的多模板匹配,复杂度O(len1+log(len2)),len1为查找串长度,len2为模板串长度


#include <iostream>
#include <cstdio>
#include <cstdlib>
#include <cmath>
#include <queue>
#include <algorithm>
#include <vector>
#include <cstring>
#include <stack>
#include <cctype>
#include <utility>   
#include <map>
#include <string>  
#include <climits> 
#include <set>
#include <string>    
#include <sstream>
#include <utility>   
#include <ctime>
#include <bitset>

using std::priority_queue;
using std::vector;
using std::swap;
using std::stack;
using std::sort;
using std::max;
using std::min;
using std::pair;
using std::map;
using std::string;
using std::cin;
using std::cout;
using std::set;
using std::queue;
using std::string;
using std::stringstream;
using std::make_pair;
using std::getline;
using std::greater;
using std::endl;
using std::multimap;
using std::deque;
using std::unique;
using std::lower_bound;
using std::random_shuffle;
using std::bitset;
using std::upper_bound;

typedef long long LL;
typedef unsigned long long ULL;
typedef pair<int, int> PAIR;
typedef multimap<int, int> MMAP;
typedef LL TY;
typedef long double LF;

const int MAXN(150010);
const int MAXM(100010);
const int MAXE(100010);
const int MAXK(6);
const int HSIZE(31313);
const int SIGMA_SIZE(26);
const int MAXH(19);
const int INFI((INT_MAX-1) >> 1);
const ULL BASE(31);
const LL LIM(10000000);
const int INV(-10000);
const int MOD(20100403);
const double EPS(1e-7);
const LF PI(acos(-1.0));

template<typename T> void checkmax(T &a, T b){if(b > a) a = b;}
template<typename T> void checkmin(T &a, T b){if(b < a) a = b;}
template<typename T> T ABS(const T &a){return a < 0? -a: a;}

struct SA
{
	int S[MAXN];
	int sa[MAXN], t1[MAXN], t2[MAXN], cnt[MAXN], len, M;
	void init(int tl, int tm = 128) //tl为原串长度, tm为字符集个数
	{
		len = tl;  
		M = tm;
		int *p1 = t1;
		int *p2 = t2;
		for(int i = 0; i < M; ++i)	cnt[i] = 0;
		for(int i = 0; i <= len; ++i) ++cnt[p1[i] = S[i]];  
		for(int i = 1; i < M; ++i) cnt[i] += cnt[i-1];
		for(int i = len; i >= 0; --i) sa[--cnt[p1[i]]] = i;
		int temp = 1;
		for(int k = 1; temp <= len; k <<= 1)
		{
			temp = 0;
			for(int i = len-k+1; i <= len; ++i) p2[temp++] = i;
			for(int i = 0; i <= len;++i)
				if(sa[i] >= k)
					p2[temp++] = sa[i]-k;

			for(int i = 0; i < M; ++i) cnt[i] = 0;
			for(int i = 0; i <= len; ++i) ++cnt[p1[p2[i]]];
			for(int i = 1; i < M; ++i)	cnt[i] += cnt[i-1];
			for(int i = len; i >= 0; --i) sa[--cnt[p1[p2[i]]]] = p2[i];
			swap(p1, p2);
			temp = 1;
			p1[sa[0]] = 0;
			for(int i = 1; i <= len; ++i)
				p1[sa[i]] = p2[sa[i-1]] == p2[sa[i]] && p2[sa[i-1]+k] == p2[sa[i]+k]? temp-1: temp++;
			M = temp;
		}
	}
	int rank[MAXN], height[MAXN];
	void getHeight()
	{
		int k = 0;
		for(int i = 0; i <= len; ++i)
			rank[sa[i]] = i;
		for(int i = 0; i < len; ++i)
		{
			if(k) --k;
			int j = sa[rank[i]-1];
			while(S[i+k] == S[j+k]) ++k;
			height[rank[i]] = k;
		}
	}
	int Log[MAXN];
	int table[MAXH][MAXN];
	void initLog()
	{
		Log[0] = -1;
		for(int i = 1; i < MAXN; ++i)
			Log[i] = (i&(i-1))? Log[i-1]: Log[i-1]+1;
	}
	void initRMQ()
	{
		for(int i = 1; i <= len; ++i)
			table[0][i] = height[i];
		for(int i = 1; (1 << i) <= len; ++i)
			for(int j = 1; j+(1 << i)-1 <= len; ++j)
				table[i][j] = min(table[i-1][j], table[i-1][j+(1 << (i-1))]);
	}
	int lcp(int a, int b)
	{
		a = rank[a];
		b = rank[b];
		if(a > b) swap(a, b);
		++a;
		int temp = Log[b-a+1];
		return min(table[temp][a], table[temp][b-(1 << temp)+1]);
	}

  int find(int *T, int tlen)  //多模板匹配,模板串, 每次查询的复杂度O(tlen+log(len))
  {
  //注意查找前需要初始化,共四个函数
  	int l = 0, r = len+1, max_match = 0, ans = len;
  	while(l < r)
  	{
  		int mid = (l+r) >> 1;
  		int ts = sa[mid];
  		int temp = lcp(ts, ans);
  		if(temp < max_match)
  		{
  			if(T[temp] < S[ts+temp])
  				r = mid;
  			else
  				l = mid+1;
  		}
  		else
  		{
  			while(max_match < tlen && T[max_match] == S[ts+max_match])
  				++max_match;
			if(max_match >= tlen)  //匹配完成
  				return mid;
  			if(T[max_match] < S[ts+max_match])
  				r = mid;
  			else
  				l = mid+1;
  			ans = ts;
  		}
  	}
  	return -1;           //未发现匹配串
  }
}sa;

int hash[MAXN];
int vis[MAXN];
int arr[MAXN];
int count[MAXN];

int main()
{
	int n, m;
	while(~scanf("%d%d", &n, &m))
	{
		int l1 = 0, l2;
		int divi = 10001;
		for(int i = 0; i < n; ++i)
		{
			count[i] = 0;
			vis[i] = -1;
		}
		int tn = n*2;
		for(int i = 0; i < tn; ++i)
		{
			if(i)
			{
				sa.S[l1] = ++divi;
				++l1;
			}
			scanf("%d", &l2);
			for(int j = 0; j < l2; ++j)
			{
				scanf("%d", sa.S+l1+j);
				++sa.S[l1+j];
				hash[l1+j] = i >> 1;
			}
			sa.S[l1+l2] = 0;
			l1 += l2;
		}
		sa.init(l1, 50010);
		sa.getHeight();
		sa.initLog();
		sa.initRMQ();
		for(int i = 0; i < m; ++i)
		{
			scanf("%d", &l2);
			for(int j = 0; j < l2; ++j)
			{
				scanf("%d", arr+j);
				++arr[j];
			}
			int ind = sa.find(arr, l2);
			int cnt = 0;
			if(ind != -1)
			{
				int th = hash[sa.sa[ind]];
				if(vis[th] != i)
				{
					++count[th];
					vis[th] = i;
					++cnt;
				}	
				for(int j = ind; sa.height[j] >= l2; --j)
				{
					th = hash[sa.sa[j-1]];
					if(vis[th] != i)
					{
						++count[th];
						vis[th] = i;
						++cnt;
					}	
				}
				for(int j = ind+1; sa.height[j] >= l2; ++j)
				{
					th = hash[sa.sa[j]];
					if(vis[th] != i)
					{
						++count[th];
						vis[th] = i;
						++cnt;
					}	
				}
			}
			printf("%d\n", cnt);
		}
		for(int i = 0; i < n; ++i)
		{
			if(i) printf(" ");
			printf("%d", count[i]);
		}
		printf("\n");
	}
	return 0;
}


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