• Codeforces Beta Round #19C. Deletion of Repeats


    题意:给一个数组,每次会删去连续重复两次的左侧部分及前面,有多个重复部分找长度最小和最靠左的部分,重复的数字最多10次
    题解:根据重复数字只有10次,我们离散化后,以每两个相同数字作为起点能确定这重复的部分,一共10*n对,接下来问题就是判断这两部分是不是相同的,建sa用st表求lcp即可,然后对所有可能的对按题意sort,往后删除即可

    //#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 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;
    
    int a[N],b[N],cnt;
    vi v[N];
    int s[N];
    int sa[N], t[N], t2[N], c[N], rk[N], height[N];
    void buildSa(int n, int m) {
        int i, j = 0, k = 0, *x = t, *y = t2;
        for(i = 0; i < m; i++) c[i] = 0;
        for(i = 0; i < n; i++) c[x[i] = s[i]]++;
        for(i = 1; i < m; i++) c[i] += c[i - 1];
        for(i = n - 1; i >= 0; i--) sa[--c[x[i]]] = i;
        for(int k = 1; k < n; k <<= 1) {
            int p = 0;
            for(i = n - k; i < n; i++) y[p++] = i;
            for(i = 0; i < n; i++) if(sa[i] >= k) y[p++] = sa[i] - k;
            for(i = 0; i < m; i++) c[i] = 0;
            for(i = 0; i < n; i++) c[x[y[i]]]++;
            for(i = 1; i < m; i++) c[i] += c[i - 1];
            for(i = n - 1; i >= 0; i--) sa[--c[x[y[i]]]] = y[i];
            swap(x, y);
            p = 1; x[sa[0]] = 0;
            for(int i = 1; i < n; i++) {
                if(y[sa[i - 1]] == y[sa[i]] && y[sa[i - 1] + k] == y[sa[i] + k])
                    x[sa[i]] = p - 1;
                else x[sa[i]] = p++;
            }
            if(p >= n) break;
            m = p;
         }
         for(i = 1; i < n; i++) rk[sa[i]] = i;
         for(i = 0; i < n - 1; i++) {
            if(k) k--;
            j = sa[rk[i] - 1];
            while(s[i + k] == s[j + k]) k++;
            height[rk[i]] = k;
         }
    }
    int Log[N];
    struct ST {
        int dp[N][20],ty;
        void build(int n, int b[], int _ty) {
            ty = _ty;
            for(int i = 1; i <= n; i++) dp[i][0] = ty * b[i];
            for(int j = 1; j <= Log[n]; j++)
                for(int i = 1; i+(1<<j)-1 <= n; i++)
                    dp[i][j] = max(dp[i][j-1], dp[i+(1<<(j-1))][j-1]);
        }
        int query(int x, int y) {
            int k = Log[y - x + 1];
            return ty * max(dp[x][k], dp[y-(1<<k)+1][k]);
        }
    }st;
    int n;
    int lcp(int x,int y)
    {
        if(x==y)return n-x+1;
        x=rk[x],y=rk[y];
        if(x>y)swap(x,y);x++;
        return st.query(x,y);
    }
    struct info{
        int l,r,len;
        bool operator <(const info&rhs)const{
            if(len!=rhs.len)return len<rhs.len;
            return l<rhs.l;
        }
    }p[N*20];
    int main()
    {
        for(int i = -(Log[0]=-1); i < N; i++)
            Log[i] = Log[i - 1] + ((i & (i - 1)) == 0);
        scanf("%d",&n);
        for(int i=0;i<n;i++)scanf("%d",&a[i]),b[cnt++]=a[i];
        sort(b,b+cnt);cnt=unique(b,b+cnt)-b;
        for(int i=0;i<n;i++)
        {
            s[i]=lower_bound(b,b+cnt,a[i])-b+1;
            v[s[i]].pb(i);
        }
        buildSa(n+1,n+5);
        st.build(n,height,-1);
        int res=0;
        for(int i=1;i<N;i++)
        {
            for(int j=0;j<v[i].size();j++)
            {
                for(int k=j+1;k<v[i].size();k++)
                {
                    int x=v[i][j],y=v[i][k];
                    if(n-y<y-x)continue;
                    if(y-x<=lcp(x,y))p[++res]={x,y,y-x};
                }
            }
        }
        sort(p+1,p+1+res);
        int ans=0;
        for(int i=1;i<=res;i++)
        {
    //        printf("%d %d
    ",p[i].l,p[i].r);
            if(p[i].l>=ans)ans=p[i].r;
        }
        printf("%d
    ",n-ans);
        for(int i=ans;i<n;i++)printf("%d ",a[i]);puts("");
        return 0;
    }
    /********************
    
    ********************/
    
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  • 原文地址:https://www.cnblogs.com/acjiumeng/p/10711678.html
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