• luogu3181 [HAOI2016]找相同字符


    建广义(mathrm{SAM}),同时对每个串在每个节点处分别维护其(mathrm{endpos})集合大小,记广义(mathrm{SAM})上的节点(u)的两个串的(mathrm{endpos})集合大小分别为(siz_{u,0},siz_{u,1}),则

    [mathrm{Answer}=sum_{i=1}^{tot} siz_{i,0} imes siz_{i,1} imes (mathrm{Len}(u)-Len(fa_u)) ]

    #include<iostream>
    #include<string.h>
    #include<string>
    #include<stdio.h>
    #include<algorithm>
    #include<vector>
    #include<bitset>
    #include<math.h>
    #include<stack>
    #include<queue>
    #include<set>
    #include<map>
    using namespace std;
    typedef long long ll;
    typedef long double db;
    typedef pair<int,int> pii;
    const int N=100000+100;
    const db pi=acos(-1.0);
    #define lowbit(x) (x)&(-x)
    #define sqr(x) (x)*(x)
    #define rep(i,a,b) for (register int i=a;i<=b;i++)
    #define per(i,a,b) for (register int i=a;i>=b;i--)
    #define go(u,i) for (register int i=head[u];i;i=sq[i].nxt)
    #define fir first
    #define sec second
    #define mp make_pair
    #define pb push_back
    #define maxd 998244353
    #define eps 1e-8
    inline int read()
    {
        int x=0,f=1;char ch=getchar();
        while ((ch<'0') || (ch>'9')) {if (ch=='-') f=-1;ch=getchar();}
        while ((ch>='0') && (ch<='9')) {x=x*10+(ch-'0');ch=getchar();}
        return x*f;
    }
    
    namespace My_Math{
    	#define N 100000
    
    	int fac[N+100],invfac[N+100];
    
    	int add(int x,int y) {return x+y>=maxd?x+y-maxd:x+y;}
    	int dec(int x,int y) {return x<y?x-y+maxd:x-y;}
    	int mul(int x,int y) {return 1ll*x*y%maxd;}
    	ll qpow(ll x,int y)
    	{
    		ll ans=1;
    		while (y)
    		{
    			if (y&1) ans=mul(ans,x);
    			x=mul(x,x);y>>=1;
    		}
    		return ans;
    	}
    	int inv(int x) {return qpow(x,maxd-2);}
    
    	int C(int n,int m)
    	{
    		if ((n<m) || (n<0) || (m<0)) return 0;
    		return mul(mul(fac[n],invfac[m]),invfac[n-m]);
    	}
    
    	int math_init()
    	{
    		fac[0]=invfac[0]=1;
    		rep(i,1,N) fac[i]=mul(fac[i-1],i);
    		invfac[N]=inv(fac[N]);
    		per(i,N-1,1) invfac[i]=mul(invfac[i+1],i+1);
    	}
    	#undef N
    }
    using namespace My_Math;
    
    int n,tot=1,lst,ch[N<<1][26],len[N<<1],fa[N<<1],col[N<<1];
    ll ans[N];
    char s[N];
    int ord[N<<1],tax[N<<1];
    
    void insert(int x,int id)
    {
    	//cout << x << endl;
    	if ((ch[lst][x]) && (len[ch[lst][x]]==len[lst]+1)) 
    	{
    		if (col[ch[lst][x]]) col[ch[lst][x]]=-1;
    		else if (!col[ch[lst][x]]) col[ch[lst][x]]=id;
    		lst=ch[lst][x];return;
    	}
    	int np=(++tot),p=lst,flag=0;len[np]=len[p]+1;
    	while ((p) && (!ch[p][x])) {ch[p][x]=np;p=fa[p];}
    	if (!p) fa[np]=1;
    	else
    	{
    		int q=ch[p][x];
    		if (len[q]==len[p]+1) fa[np]=q;
    		else
    		{
    			if (len[np]==len[p]+1) flag=1;
    			int nq=(++tot);len[nq]=len[p]+1;
    			memcpy(ch[nq],ch[q],sizeof(ch[nq]));
    			fa[nq]=fa[q];fa[q]=fa[np]=nq;
    			while ((p) && (ch[p][x]==q)) {ch[p][x]=nq;p=fa[p];}
    			if (flag) np=nq;
    		}
    	}
    	if (col[np]) col[np]=-1;
    	else if (!col[np]) col[np]=id;
    	lst=np;
    }
    
    int main()
    {
    	n=read();
    	rep(i,1,n)
    	{
    		lst=1;
    		scanf("%s",s+1);
    		int m=strlen(s+1);
    		rep(j,1,m) insert(s[j]-'a',i);
    	}
    	rep(i,1,tot) tax[len[i]]++;
    	rep(i,1,tot) tax[i]+=tax[i-1];
    	rep(i,1,tot) ord[tax[len[i]]--]=i;
    	per(i,tot,1)
    	{
    		int u=ord[i],f=fa[u];
    		if (col[u]!=-1) ans[col[u]]+=len[u]-len[f];
    		if (!col[f]) col[f]=col[u];
    		else if (col[f]!=col[u]) col[f]=-1;
    	}
    	rep(i,1,n) printf("%lld
    ",ans[i]);
    	return 0;
    }
    
    
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  • 原文地址:https://www.cnblogs.com/encodetalker/p/12528402.html
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