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  • Tinkoff Internship Warmup Round 2018 and Codeforces Round #475 (Div. 1)D. Frequency of String

    题意:有一个串s,n个串模式串t,问s的子串中长度最小的包含t k次的长度是多少
    题解:把所有t建ac自动机,把s在ac自动机上匹配.保存每个模式串在s中出现的位置.这里由于t两两不同最多只有xsqrt(x),x是总长度.然后双指针扫一遍即可
    这里有一个很重要的优化技巧,由于ac自动机上不是每个点都是t的结尾,我们把fail向上跳一次变成直接跳到t的结尾,build预处理一下

    //#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 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=100000+10,maxn=100000+10,inf=0x3f3f3f3f;
    
    char s[N],p[N];
    vi v[N];
    struct ACM{
        int root,tot;
        int ch[N][26],fail[N],id[N],go[N];
        int newnode()
        {
            memset(ch[tot],-1,sizeof ch[tot]);
            id[tot]=0;
            return tot++;
        }
        void init(){tot=0;root=newnode();}
        void ins(int x)
        {
            int now=root,n=strlen(s);
            for(int i=0;i<n;i++)
            {
                if(ch[now][s[i]-'a']==-1)ch[now][s[i]-'a']=newnode();
                now=ch[now][s[i]-'a'];
            }
            id[now]=x;
        }
        void build()
        {
            queue<int>q;
            fail[root]=root;
            for(int i=0;i<26;i++)
            {
                if(ch[root][i]==-1)ch[root][i]=root;
                else
                {
                    fail[ch[root][i]]=root;
                    q.push(ch[root][i]);
                }
            }
            while(!q.empty())
            {
                int now=q.front();q.pop();
                if(id[fail[now]])go[now]=fail[now];
                else go[now]=go[fail[now]];
                for(int i=0;i<26;i++)
                {
                    if(ch[now][i]==-1)ch[now][i]=ch[fail[now]][i];
                    else
                    {
                        fail[ch[now][i]]=ch[fail[now]][i];
                        q.push(ch[now][i]);
                    }
                }
            }
        }
        void cal()
        {
            int now=root;
            for(int i=0;p[i];i++)
            {
                now=ch[now][p[i]-'a'];
                int te=now;
                while(te!=root)
                {
                    if(id[te])v[id[te]].pb(i);
                    te=go[te];
                }
            }
        }
    }ac;
    int a[N],sz[N];
    int main()
    {
        int n;
        scanf("%s%d",p,&n);
        ac.init();
        for(int i=1;i<=n;i++)
        {
            scanf("%d%s",&a[i],s);
            sz[i]=strlen(s);
            ac.ins(i);
        }
        ac.build();
        ac.cal();
        for(int i=1;i<=n;i++)
        {
            if(v[i].size()<a[i])puts("-1");
            else
            {
    //            for(int x:v[i])printf("%d ",x);puts("");
                int ans=inf;
                for(int j=0;j+a[i]-1<v[i].size();j++)
                {
                    ans=min(ans,v[i][j+a[i]-1]-v[i][j]+sz[i]);
                }
                printf("%d
    ",ans);
            }
        }
        return 0;
    }
    /********************
    
    ********************/
    
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  • 原文地址:https://www.cnblogs.com/acjiumeng/p/10719501.html
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