• bzoj3676: [Apio2014]回文串 pam


    题意:字符串s。我们定义s的一个子串t的“出 现值”为t在s中的出现次数乘以t的长度。请你求出s的所有回文子串中的最 大出现值。
    题解:pam板子题
    //cnt数组表示该节点代表的回文串出现次数,add时如果要新建节点,则说明出现了本质不同的子串

    /**************************************************************
        Problem: 3676
        User: walfy
        Language: C++
        Result: Accepted
        Time:1176 ms
        Memory:37912 kb
    ****************************************************************/
     
    //#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 1000000007
    #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 LL long long
    //#define cd complex<double>
    #define ull unsigned long long
    #define base 1000000000000000000
    #define Max(a,b) ((a)>(b)?(a):(b))
    #define Min(a,b) ((a)<(b)?(a):(b))
    #define fin freopen("a.txt","r",stdin)
    #define fout freopen("a.txt","w",stdout)
    #define fio ios::sync_with_stdio(false);cin.tie(0)
    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 void add(ll &a,ll b){a+=b;if(a>=mod)a-=mod;}
    inline void sub(ll &a,ll b){a-=b;if(a<0)a+=mod;}
    inline ll gcd(ll a,ll b){return b?gcd(b,a%b):a;}
    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 double eps=1e-8;
    const ll INF=0x3f3f3f3f3f3f3f3f;
    const int N=300000+10,maxn=1000000+10,inf=0x3f3f3f3f;
     
    struct PAM{ 
        int ch[N][26],fail[N],cnt[N],num[N],len[N],s[N];
        int last,n,p;
        int newnode(int w)
        {
            for(int i=0;i<26;i++)ch[p][i] = 0;
            cnt[p] = num[p] = 0;
            len[p] = w;
            return p++;
        }
        void init()
        {
            p = last = n = 0;
            newnode(0);
            newnode(-1);
            s[n] = -1;
            fail[0] = 1;
        }
        int getfail(int x)
        {
            while(s[n-len[x]-1] != s[n]) x = fail[x];
            return x;
        }
        void add(int c)
        {
            s[++n] = c;
            int cur = getfail(last);
            if(!ch[cur][c]){
                int now = newnode(len[cur]+2);
                fail[now] = ch[getfail(fail[cur])][c];
                ch[cur][c] = now;
                num[now] = num[fail[now]] + 1;
            }
            last = ch[cur][c];
            cnt[last]++;
        }
        void cal()
        {
            ll ans=0;
            for(int i=p-1;i>=0;i--)
            {
                cnt[fail[i]] += cnt[i];
                ans=max(ans,1ll*cnt[i]*len[i]);
            }
            printf("%lld
    ",ans);
        }
    }pam;
    char s[N];
    int main()
    {
        pam.init();
        scanf("%s",s);
        int n=strlen(s);
        for(int i=0;i<n;i++)pam.add(s[i]-'a');
        pam.cal();
        return 0;
    }
    /********************
     
    ********************/
    
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  • 原文地址:https://www.cnblogs.com/acjiumeng/p/9585112.html
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