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ZOJ - 3228 Searching the String (AC自己主动机)

2024-09-19 10:05:15   217人阅读

Description

Little jay really hates to deal with string. But moondy likes it very much, and she‘s so mischievous that she often gives jay some dull problems related to string. And one day, moondy gave jay another problem, poor jay finally broke out and cried, " Who can help me? I‘ll bg him! "

So what is the problem this time?

First, moondy gave jay a very long string A. Then she gave him a sequence of very short substrings, and asked him to find how many times each substring appeared in string A. What‘s more, she would denote whether or not founded appearances of this substring are allowed to overlap.

At first, jay just read string A from begin to end to search all appearances of each given substring. But he soon felt exhausted and couldn‘t go on any more, so he gave up and broke out this time.

I know you‘re a good guy and will help with jay even without bg, won‘t you?

Input

Input consists of multiple cases( <= 20 ) and terminates with end of file.

For each case, the first line contains string A ( length <= 10^5 ). The second line contains an integer N ( N <= 10^5 ), which denotes the number of queries. The next N lines, each with an integer type and a string a ( length <= 6 ), type = 0 denotes substring a is allowed to overlap and type = 1 denotes not. Note that all input characters are lowercase.

There is a blank line between two consecutive cases.

Output

For each case, output the case number first ( based on 1 , see Samples ).

Then for each query, output an integer in a single line denoting the maximum times you can find the substring under certain rules.

Output an empty line after each case.

Sample Input

ab
2
0 ab
1 ab

abababac
2
0 aba
1 aba

abcdefghijklmnopqrstuvwxyz
3
0 abc
1 def
1 jmn

Sample Output

Case 1
1
1

Case 2
3
2

Case 3
1
1
0


题意：先给你一个字符串，然后给你若干个子串，0代表能够重叠，1代表不能重叠，求出如今母串的次数。


思路：AC自己主动机，多一个推断的是假设这个子串与上次出现的次数大于子串长度的话。就代表这次不是重叠的了

#include <iostream>
#include <cstdio>
#include <cstring>
#include <algorithm>
#include <queue>
typedef long long ll;
using namespace std;
const int maxn = 600010;

int wordend[100010];
struct Trie {
    int nxt[maxn][26], fail[maxn], deep[maxn];
    int root, sz;
    int cnt[maxn][2], last[maxn];

    int newNode() {
        for (int i = 0; i < 26; i++)
            nxt[sz][i] = -1;
        deep[sz++] = 0;
        return sz - 1;
    }

    void init() {
        sz = 0;
        root = newNode();
    }

    void insert(char str[], int num) {
        int u = root;
        for (int i = 0; str[i]; i++) {
            int tmp = str[i] - ‘a‘;
            if (nxt[u][tmp] == -1) 
                nxt[u][tmp] = newNode();
            deep[nxt[u][tmp]] = deep[u] + 1;
            u = nxt[u][tmp];
        }
        wordend[num] = u;
    }

    void build() {
        queue<int> q;
        fail[root] = root;
        int u = root;
        for (int i = 0; i < 26; i++) {
            if (nxt[u][i] == -1)
                nxt[u][i] = root;
            else {
                fail[nxt[u][i]] = root;
                q.push(nxt[u][i]);
            }
        }

        while (!q.empty()) {
            u = q.front();
            q.pop();
            for (int i = 0; i < 26; i++) {
                if (nxt[u][i] == -1)
                    nxt[u][i] = nxt[fail[u]][i];
                else {
                    fail[nxt[u][i]] = nxt[fail[u]][i];
                    q.push(nxt[u][i]);
                }
            }
        }
    }

    void query(char *buf) {
        for (int i = root; i < sz; i++) {
            cnt[i][0] = 0;
            cnt[i][1] = 0;
            last[i] = -1;
        }

        int u = root;
        for (int i = 0; buf[i]; i++) {
            u = nxt[u][buf[i]-‘a‘];
            int tmp = u;
            while (tmp != root) {
                cnt[tmp][0]++;
                if (i - last[tmp] >= deep[tmp]) {
                    cnt[tmp][1]++;
                    last[tmp] = i;
                }
                tmp = fail[tmp];
            }
        }
    }
} ac;

char buf[100010], word[10];
int type[100010];

int main() {
    int n, cas = 1;
    while (scanf("%s", buf) != EOF) {
        scanf("%d", &n);    
        ac.init();
        for (int i = 0; i < n; i++) {
            scanf("%d%s", &type[i], word);
            ac.insert(word, i);
        }
        ac.build();
        ac.query(buf);
        printf("Case %d\n", cas++);
        for (int i = 0; i < n; i++)
            printf("%d\n", ac.cnt[wordend[i]][type[i]]);
        printf("\n");
    }
    return 0;
}




ZOJ - 3228 Searching the String (AC自己主动机)


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