bzoj3730: 진파(동적점 분리)

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문제풀이


이 문제는 만약에 동적 개점의 라인 트리로 시간이 너무 끊기면 내가 쓴 상수가 너무 커서 아예 끊길 수가 없어...비교적 좋은 열기 방법은 라인 트리를 트리 모양으로 바꾸는 것이다...다음 코드는 TLE의...

코드

#include
#include
#include
#include
#include
#define N 100003
#define inf 1000000000
using namespace std;
struct data{
    int ls,rs,sum;
}tr[N*30],tr1[N*30];
int rt[N],rtc[N],tot,point[N],nxt[N*2],v[N*2],deep[N],fa[N*2][30],mi[30];
int belong[N],size[N],f[N],sum,root,vis[N],sz,n,m,ans,val[N],d[N],L[N*2],ti,pos[N*2];
int read() {
    char ch; while (!((ch=getchar())>='0'&&ch<='9'));
    int a=ch-'0'; 
    while ((ch=getchar())>='0'&&ch<='9') a=a*10+ch-'0';
    return a;
}
void add(int x,int y)
{
    tot++; nxt[tot]=point[x]; point[x]=tot; v[tot]=y;
    tot++; nxt[tot]=point[y]; point[y]=tot; v[tot]=x;
}
/*void dfs(int x,int father)
{
    deep[x]=deep[father]+1;
    for (int i=1;i<=17;i++) {
        if (deep[x]-mi[i]<0) break;
        fa[x][i]=fa[fa[x][i-1]][i-1];
    }
    for (int i=point[x];i;i=nxt[i]) {
        if(v[i]==father) continue;
        fa[v[i]][0]=x;
        dfs(v[i],x);
    }
}
int lca(int x,int y)
{
    if (deep[x]y]) swap(x,y);
    int k=deep[x]-deep[y];
    for (int i=0;i<=17;i++)
     if ((k>>i)&1) x=fa[x][i];
    if (x==y) return x;
    for (int i=17;i>=0;i--)
     if(fa[x][i]!=fa[y][i])
      x=fa[x][i],y=fa[y][i];
    return fa[x][0];
}
int dis(int x,int y)
{
    return deep[x]+deep[y]-2*deep[lca(x,y)];
}*/
void dfs(int x, int father)  
{  
    fa[pos[x]=++ti][0]=deep[x]=deep[father]+1;
    for (int i=point[x];i;i=nxt[i])
      if (v[i]^father)
       dfs(v[i],x),fa[++ti][0]=deep[x];
}  
int lca(int x,int y)  
{  
    x=pos[x]; y=pos[y];
    if (x>y) swap(x,y);
    int len=L[y-x+1];
    return min(fa[x][len],fa[y-(1<1][len]);
}  
int dis(int x, int y) {
    return deep[x]+deep[y]-(lca(x,y)<<1);
}
void getroot(int x,int father)
{
    f[x]=0; size[x]=1;
    for (int i=point[x];i;i=nxt[i]){
        if (vis[v[i]]||v[i]==father) continue;
        getroot(v[i],x);
        size[x]+=size[v[i]];
        f[x]=max(f[x],size[v[i]]);
    }
    f[x]=max(f[x],sum-size[x]);
    if (f[x]x;
}
void divi(int x,int father)
{
    belong[x]=father; vis[x]=1;
    for (int i=point[x];i;i=nxt[i]){
        if (vis[v[i]]) continue;
        root=0; sum=size[v[i]];
        getroot(v[i],x);
        divi(root,x);
    }
}
void insert(int &i,int l,int r,int x,int val)
{
    if (!i) i=++sz; tr[i].sum+=val;
    if (l==r) return;
    int mid=(l+r)/2;
    if (x<=mid) insert(tr[i].ls,l,mid,x,val);
    else insert(tr[i].rs,mid+1,r,x,val);
}
void change(int u,int val)
{
    insert(rt[u],0,n,0,val);
    for(int i=u;belong[i];i=belong[i])
    {
        int D=dis(u,belong[i]);
        insert(rt[belong[i]],0,n,D,val);
        insert(rtc[i],0,n,D,val);
    }
}
int qjsum(int i,int l,int r,int ll,int rr)
{
    if (ll>rr) return 0;
    if(ll<=l&&r<=rr) return tr[i].sum;
    int mid=(l+r)/2; int ans=0;
    if (ll<=mid) ans+=qjsum(tr[i].ls,l,mid,ll,rr);
    if (rr>mid) ans+=qjsum(tr[i].rs,mid+1,r,ll,rr);
    return ans;
}
void calc(int u,int d)
{
    ans+=qjsum(rt[u],0,n,0,d);
    for(int i=u;belong[i];i=belong[i])
    {
        int D=dis(belong[i],u);
        ans+=qjsum(rt[belong[i]],0,n,0,d-D);
        ans-=qjsum(rtc[i],0,n,0,d-D);
    }
}
int main()
{
    freopen("a.in","r",stdin);
    freopen("my.out","w",stdout);
    n=read(); m=read(); mi[0]=1;
    for (int i=1;i<=17;i++) mi[i]=mi[i-1]*2;
    for (int i=1;i<=n;i++) val[i]=read();
    for (int i=1;iint x,y; x=read(); y=read();
        add(x,y);
    }
    dfs(1,0);  
    for (int i=2;i<=ti;i++) L[i]=L[i>>1]+1;
    for (int j=1;j<=L[ti];j++) 
     for (int i=1;i+(1<1<=ti;i++)
      fa[i][j]=min(fa[i][j-1],fa[i+(1<1)][j-1]); 
    root=0; f[0]=inf; sum=n;
    getroot(1,0); divi(root,0); ans=0;
//  for (int i=1;i<=n;i++) cout<" "; cout<for (int i=1;i<=n;i++) 
     change(i,val[i]);
    for (int i=1;i<=m;i++) {
        //cout<int opt,x,y; opt=read(); x=read(); y=read();
        //x^=ans; y^=ans; 
        if (opt==1) {
            change(x,y-val[x]);
            val[x]=y;
        }
        if (opt==0) {
            ans=0;
            calc(x,y);
            printf("%d
"
,ans); } } }

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