CFgym:Castle(KMP)

本文介绍了一种通过KMP算法解决特殊字符串游戏的方法,玩家需要处理字符串操作与查询,包括添加字符、记录状态及询问后缀匹配数量。文章提供了一个高效的解决方案,并附带示例输入输出,帮助理解实现细节。

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K. has stumbled upon a weird game while playing on his computer. The game consists of an initial
string S of length N (1 ≤ N ≤ 1000) and an empty set T. The following events might occur during
the game:
• a character is added at the end of S, thus increasing its length by 1
• the string S is added to the set T
• the game master inquires: “How many strings in T are suffixes of S?”. A suffix of S is a substring
which can start at any position in S, but must finish on the last position of S.
Because K. wants to go visit a famous castle near his hometown, you must help him deal with the
game as quickly as possible.
Input
The input file contains several test cases, each of them as described below.
The first line of the input contains two integers: N, the length of the initial string S and E, the
number of events (E ≤ 1200000).
The second line describes the string S; the string consists only of lowercase Roman alphabet (a..z).
The following E lines describe the events. Each of these lines contains an integer p, describing the
event type.
• If p is 1, then it is followed by a character (a-z), which will be added at the end of S.
• If p is 2, then the string S is added in T.
• If p is 3, then you must respond to the query “How many strings in T are suffixes of the current
S?”
Output
For each test case, the output must follow the description below.
The output should consist of a line containing an integer for each type 3 event in the input, which
represents the answer to the query. Note: T is a set, so it doesn’t contain duplicates.
Explanation for the sample:
Initially S is ‘a’.
After the first event T becomes {a}.
After the second and third event S becomes ‘aba’.
After the fourth event T becomes {a, aba}.
After the fifth event T becomes {a, aba}.
After the sixth and seventh event S becomes ‘abaca’.
The result of the query is 1 (‘a’).
After the ninth and tenth event S becomes ‘abacaba’.
The result of the query is 2 (‘a’ and ‘aba’).
Sample Input
1 11 

a

2

1 b
1 a 

2

2
1 c
1 a 

3
1 b
1 a 

3
Sample Output 

1

2

思路:根据KMP的next数组的特点即可。

//reference: WeAreATeam
# include <bits/stdc++.h>
using namespace std;
const int maxn = 1201003;
char s[maxn];
int Next[maxn];
bool vis[maxn];
int val[maxn];
int main()
{
    int n, q;
    scanf("%d%d",&n,&q);
    scanf("%s",s);
    for(int i=1; i<n; ++i)
    {
        int j=Next[i];
        while(j&&s[i]!=s[j]) j=Next[j];
        Next[i+1] = s[j]==s[i]?j+1:0;
    }
    while(q--)
    {
        int op;
        scanf("%d",&op);
        if(op == 1)
        {
            scanf("%s",s+n);
            int j=Next[n];
            while(j&&s[j]!=s[n]) j=Next[j];
            if(s[j]==s[n]) ++j;
            Next[++n] = j;
            val[n] = val[j];
        }
        else if(op == 2)
        {
            if(!vis[n])
            {
                vis[n] = 1;
                ++val[n];
            }
        }
        else
            printf("%d\n",val[n]);
    }
    return 0;
}


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