BZOJ3165: [Heoi2013]Segment

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所以题意已经告诉了这题是线段树?


线段树每个节点维护覆盖区间的最上的线段,每次插入线段,对于一个被其完整覆盖的区间,如果这个线段与之前覆盖它的无交点取较上者,否则随便取一个,另一个传到两个孩子,询问就每层的线段比较一下

复杂度:O(能过) 别打我我不想证也不太会证


#include<set>#include<map>#include<deque>#include<queue>#include<stack>#include<cmath>#include<ctime>#include<bitset>#include<string>#include<vector>#include<cstdio>#include<cstdlib>#include<cstring>#include<climits>#include<complex>#include<iostream>#include<algorithm>#define ll long long#define inf 1e9using namespace std;void up(int &x,int y){if(y>x)x=y;}void down(int &x,int y){if(y<x)x=y;}const int maxn = 110000;const int m1 = 39989;const int m2 = 1e9;struct seg{    int x0,y0,x1,y1;    seg(){}    seg(int _x0,int _y0,int _x1,int _y1){x0=_x0;x1=_x1;y0=_y0;y1=_y1;}}se[maxn]; int tot;int n,mx[maxn],mid[maxn];int tr[m1<<3];void ins(int x,int l,int r,int lx,int rx,int id){    if(lx<=l&&r<=rx)    {        if(!tr[x]) tr[x]=id;        else        {            seg tx=se[tr[x]],ti=se[id];            double k0=(double)(ti.y1-ti.y0)/(double)(ti.x1-ti.x0);            double k1=(double)(tx.y1-tx.y0)/(double)(tx.x1-tx.x0);            double y1=(double)ti.y0+k0*(l-ti.x0),y2=(double)ti.y0+k0*(r-ti.x0);            double y3=(double)tx.y0+k1*(l-tx.x0),y4=(double)tx.y0+k1*(r-tx.x0);            if(y1<=y3&&y2<=y4) return ;            else if(y1>=y3&&y2>=y4) tr[x]=id;             else ins(x<<1,l,(l+r)>>1,lx,rx,id),ins((x<<1)|1,((l+r)>>1)+1,r,lx,rx,id);        }        return ;    }    int mid=(l+r)>>1, lc=x<<1,rc=lc|1;    if(rx<=mid) ins(lc,l,mid,lx,rx,id);    else if(lx>mid) ins(rc,mid+1,r,lx,rx,id);    else ins(lc,l,mid,lx,mid,id),ins(rc,mid+1,r,mid+1,rx,id);}double hmax;int hid;void query(int x,int l,int r,int loc){    if(tr[x])    {               seg tx=se[tr[x]];        double k=(double)(tx.y1-tx.y0)/(double)(tx.x1-tx.x0);        if(hmax<tx.y0+k*(double)(loc-tx.x0)) hmax=tx.y0+k*(double)(loc-tx.x0),hid=tr[x];    }    if(l==r) return ;    int mid=(l+r)>>1,lc=x<<1,rc=lc|1;    if(loc<=mid) query(lc,l,mid,loc);    else query(rc,mid+1,r,loc);}int main(){    int lastans=0;    scanf("%d",&n);    while(n--)    {        int x; scanf("%d",&x);        if(x)        {            int x0,y0,x1,y1; scanf("%d%d%d%d",&x0,&y0,&x1,&y1);            x0=(x0+lastans-1)%m1+1; x1=(x1+lastans-1)%m1+1;            y0=(y0+lastans-1)%m2+1; y1=(y1+lastans-1)%m2+1;            if(x0>x1) swap(x0,x1),swap(y0,y1);            tot++;            se[tot]=seg(x0,y0,x1,y1);            if(x0==x1)            {                up(y0,y1);                if(mx[x0]<y0) mx[x0]=y0,mid[x0]=tot;            }            else ins(1,1,m1,x0,x1,tot);        }        else        {            int k; scanf("%d",&k);            k=(k+lastans-1)%m1+1;            hmax=mx[k]; hid=mid[k];            query(1,1,m1,k);            printf("%d\n",hid); lastans=hid;        }    }    return 0;}
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