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  • hdu5421Victor and String 两端加点的pam

    题意:要求维护两端加点的字符串,以及查询本质回文串个数和所有回文串个数
    题解:pam,两端加点过程详见ioi2017国家集训队论文,维护一个最长回文前缀和最长回文后缀即可,fail不用两个,能前后共用一个.维护所有回文串个数,就是用增量法,每加一个点计算含这个点的回文串的个数(即当前回文后缀),即fail链到0或1的长度,维护一个dep表示fail链长度即可.

    //#pragma GCC optimize(2)
    //#pragma GCC optimize(3)
    //#pragma GCC optimize(4)
    //#pragma GCC optimize("unroll-loops")
    //#pragma comment(linker, "/stack:200000000")
    //#pragma GCC optimize("Ofast,no-stack-protector")
    //#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
    #include<bits/stdc++.h>
    #define fi first
    #define se second
    #define db double
    #define mp make_pair
    #define pb push_back
    #define pi acos(-1.0)
    #define ll long long
    #define vi vector<int>
    #define mod 998244353
    #define ld long double
    //#define C 0.5772156649
    //#define ls l,m,rt<<1
    //#define rs m+1,r,rt<<1|1
    #define pll pair<ll,ll>
    #define pil pair<int,ll>
    #define pli pair<ll,int>
    #define pii pair<int,int>
    #define ull unsigned long long
    //#define base 1000000000000000000
    #define fin freopen("a.txt","r",stdin)
    #define fout freopen("a.txt","w",stdout)
    #define fio ios::sync_with_stdio(false);cin.tie(0)
    inline ll gcd(ll a,ll b){return b?gcd(b,a%b):a;}
    inline void sub(ll &a,ll b){a-=b;if(a<0)a+=mod;}
    inline void add(ll &a,ll b){a+=b;if(a>=mod)a-=mod;}
    template<typename T>inline T const& MAX(T const &a,T const &b){return a>b?a:b;}
    template<typename T>inline T const& MIN(T const &a,T const &b){return a<b?a:b;}
    inline ll qp(ll a,ll b){ll ans=1;while(b){if(b&1)ans=ans*a%mod;a=a*a%mod,b>>=1;}return ans;}
    inline ll qp(ll a,ll b,ll c){ll ans=1;while(b){if(b&1)ans=ans*a%c;a=a*a%c,b>>=1;}return ans;}
    
    using namespace std;
    
    const ull ba=233;
    const db eps=1e-7;
    const ll INF=0x3f3f3f3f3f3f3f3f;
    const int N=200000+10,maxn=100000+10,inf=0x3f3f3f3f;
    
    struct PAM{
        int ch[N][26],fail[N],len[N],s[N],dep[N];
        int last[2],l,r,p;
        ll ans;
        int newnode(int w)
        {
            for(int i=0;i<26;i++)ch[p][i] = 0;
            len[p] = w;
            dep[p] = 0;
            return p++;
        }
        void init()
        {
            l = 100000+1,r = 100000;
            p = ans = 0;
            last[0]=last[1]=0;
            newnode(0);
            newnode(-1);
            memset(s,-1,sizeof s);
            fail[0] = 1;
        }
        int getfail(int x,int op)
        {
            if(op)while(s[r-len[x]-1] != s[r]) x = fail[x];
            else while(s[l+len[x]+1] != s[l]) x = fail[x];
            return x;
        }
        void add(int c,int op)
        {
            if(op)s[++r] = c;
            else s[--l] = c;
            int cur = getfail(last[op],op);
            if(!ch[cur][c]){
                int now = newnode(len[cur]+2);
                fail[now] = ch[getfail(fail[cur],op)][c];
                dep[now] = dep[fail[now]] + 1;
                ch[cur][c] = now;
            }
            last[op] = ch[cur][c];
    //        printf("%d %d %d %d
    ",op,cur,last[op],fail[last[op]]);
            if(len[last[op]] == r-l+1)last[op^1]=last[op];
            ans+=dep[last[op]];
        }
    }pam;
    char s[10];
    int main()
    {
        int n;
        while(~scanf("%d",&n))
        {
            pam.init();
            for(int i=1;i<=n;i++)
            {
                int x;
                scanf("%d",&x);
                if(x<=2)
                {
                    scanf("%s",s);
                    pam.add(s[0]-'a',x-1);
                }
                else if(x==3)printf("%d
    ",pam.p-2);
                else printf("%lld
    ",pam.ans);
            }
        }
        return 0;
    }
    /********************
    
    ********************/
    
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  • 原文地址:https://www.cnblogs.com/acjiumeng/p/10704779.html
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