http://www.lydsy.com/JudgeOnline/problem.php?id=1095

好像有2种做法:线段树维护括号编码&动态树分治。

线段树维护括号编码:

《数据结构的提炼与压缩》

这篇论文是讲得极好的。

#include<cstdio>
#include<cstdlib>
#include<iostream>
#include<fstream>
#include<algorithm>
#include<cstring>
#include<string>
#include<cmath>
#include<queue>
#include<stack>
#include<map>
#include<utility>
#include<set>
#include<bitset>
#include<vector>
#include<functional>
#include<deque>
#include<cctype>
#include<climits>
#include<complex>
//#include<bits/stdc++.h>适用于CF,UOJ,但不适用于poj
 
using namespace std;

typedef long long LL;
typedef double DB;
typedef pair<int,int> PII;
typedef complex<DB> CP;

#define mmst(a,v) memset(a,v,sizeof(a))
#define mmcy(a,b) memcpy(a,b,sizeof(a))
#define fill(a,l,r,v) fill(a+l,a+r+1,v)
#define re(i,a,b)  for(i=(a);i<=(b);i++)
#define red(i,a,b) for(i=(a);i>=(b);i--)
#define ire(i,x) for(typedef(x.begin()) i=x.begin();i!=x.end();i++)
#define fi first
#define se second
#define m_p(a,b) make_pair(a,b)
#define p_b(a) push_back(a)
#define SF scanf
#define PF printf
#define two(k) (1<<(k))

template<class T>inline T sqr(T x){return x*x;}
template<class T>inline void upmin(T &t,T tmp){if(t>tmp)t=tmp;}
template<class T>inline void upmax(T &t,T tmp){if(t<tmp)t=tmp;}

inline int sgn(DB x){if(abs(x)<1e-9)return 0;return(x>0)?1:-1;}
const DB Pi=acos(-1.0);

int gint()
  {
        int res=0;bool neg=0;char z;
        for(z=getchar();z!=EOF && z!='-' && !isdigit(z);z=getchar());
        if(z==EOF)return 0;
        if(z=='-'){neg=1;z=getchar();}
        for(;z!=EOF && isdigit(z);res=res*10+z-'0',z=getchar());
        return (neg)?-res:res; 
    }
LL gll()
  {
      LL res=0;bool neg=0;char z;
        for(z=getchar();z!=EOF && z!='-' && !isdigit(z);z=getchar());
        if(z==EOF)return 0;
        if(z=='-'){neg=1;z=getchar();}
        for(;z!=EOF && isdigit(z);res=res*10+z-'0',z=getchar());
        return (neg)?-res:res; 
    }

const int maxn=100000;

int n;
int now,info[maxn+100];
struct Tedge{int v,next;}edge[2*maxn+100];
int status[maxn+100],ge;

void addedge(int u,int v){now++;edge[now].v=v;edge[now].next=info[u];info[u]=now;}

int cnt,ty[3*maxn+100],pos[maxn+100];
void dfs(int u)
  {
      ty[++cnt]=-1;
      ty[++cnt]=u;
      pos[u]=cnt;
      int i,v;
      for(i=info[u],v=edge[i].v;i!=-1;i=edge[i].next,v=edge[i].v)if(!pos[v])dfs(v);
      ty[++cnt]=-2;
  }

struct Tdata
  {
      int a,b;
      Tdata(int _a=0,int _b=0){a=_a;b=_b;}
      friend Tdata operator +(Tdata l,Tdata r){return (l.b<=r.a)?Tdata(l.a+r.a-l.b,r.b):Tdata(l.a,l.b-r.a+r.b);}
      friend bool operator ==(Tdata x,Tdata y){return x.a==y.a && x.b==y.b;}
      friend bool operator !=(Tdata x,Tdata y){return !(x==y);}
  };
Tdata null=Tdata(-1,-1);

/*
dist 子区间的最大值 
whole 区间[l,r]的二元组(a,b) 
lp    右端点为黑点的a+b最大的前缀的二元组(a,b)
rp    左端点为黑点的a+b最大的后缀的二元组(a,b)
lm    右端点为黑点的b-a最大的前缀的二元组(a,b)
rm    左端点为黑点的a-b最大的后缀的二元组(a,b)
null表示不存在 
*/  
struct Tnode
  {
      int dist;
      Tdata whole,lp,rp,lm,rm;
      void init(int x);
  };

void Tnode::init(int x)
  {
      int lcnt=(ty[x]==-2),rcnt=(ty[x]==-1);
      whole=Tdata(lcnt,rcnt);
      dist=-1;
      if(ty[x]>=1 && status[ty[x]]) lp=rp=lm=rm=whole; else lp=rp=lm=rm=null;
  }

Tnode make_up(Tnode x,Tnode y)
  {
      Tnode res;Tdata p;
      
      res.whole=x.whole+y.whole;
      
      res.lp=x.lp;
      if(y.lp!=null)
        {
            p=x.whole+y.lp;
            if(res.lp==null || res.lp.a+res.lp.b<p.a+p.b)res.lp=p;
        }
      if(y.lm!=null)
        {
            p=x.whole+y.lm;
            if(res.lp==null || res.lp.a+res.lp.b<p.a+p.b)res.lp=p;
        }
      
      res.rp=y.rp;
      if(x.rp!=null)
        {
            p=x.rp+y.whole;
            if(res.rp==null || res.rp.a+res.rp.b<p.a+p.b)res.rp=p;
        }
      if(x.rm!=null)
        {
            p=x.rm+y.whole;
            if(res.rp==null || res.rp.a+res.rp.b<p.a+p.b)res.rp=p;
        }
      
      res.lm=x.lm;
      if(y.lm!=null)
        {
            p=x.whole+y.lm;
            if(res.lm==null || res.lm.b-res.lm.a<p.b-p.a)res.lm=p;
        }
      
      res.rm=y.rm;
      if(x.rm!=null)
        {
            p=x.rm+y.whole;
            if(res.rm==null || res.rm.a-res.rm.b<p.a-p.b)res.rm=p;
        }
      
      res.dist=max(x.dist,y.dist);
      if(x.rp!=null && y.lm!=null)
          {
              p=x.rp+y.lm;
                upmax(res.dist,p.a+p.b);
            }
      if(x.rm!=null && y.lp!=null)
          {
              p=x.rm+y.lp;
                upmax(res.dist,p.a+p.b);
            }
      
      return res;
      
  }

Tnode tr[4*3*maxn+100];
void build(int rt,int l,int r)
  {
      if(l==r){tr[rt].init(l);return;}
      int mid=(l+r)>>1;
      build(rt<<1,l,mid);
      build(rt<<1|1,mid+1,r);
      tr[rt]=make_up(tr[rt<<1],tr[rt<<1|1]);
  }
void update(int rt,int l,int r,int x)
  {
      if(l==r){tr[rt].init(l);return;}
      int mid=(l+r)/2;
      if(x<=mid)update(rt<<1,l,mid,x);else update(rt<<1|1,mid+1,r,x);
      tr[rt]=make_up(tr[rt<<1],tr[rt<<1|1]);
  }

int main()
  {
      freopen("bzoj1095.in","r",stdin);
      freopen("bzoj1095.out","w",stdout);
      int i;
      n=gint();
      now=-1;mmst(info,-1);
      re(i,1,n-1){int u=gint(),v=gint();addedge(u,v);addedge(v,u);}
      dfs(1);
        re(i,1,n)status[i]=1;ge=n;
      build(1,1,cnt);
      int Q;SF("%d\n",&Q);
      while(Q--)
        {
            char t;SF("%c",&t);
            if(t=='G')
              {
                  if(ge==0)PF("-1\n");else if(ge==1) PF("0\n"); else PF("%d\n",tr[1].dist);
              }
            else
              {
                      int x;SF("%d",&x);
                        status[x]^=1;
                        if(status[x])ge++;else ge--;
                        update(1,1,cnt,pos[x]);
                    }
                SF("\n");
        }
      return 0;
  }
View Code

相关文章: