记录编号 |
280708 |
评测结果 |
AAAAAAAAAAAAAAAAAAAAA |
题目名称 |
[HAOI 2014]贴海报 |
最终得分 |
100 |
用户昵称 |
AntiLeaf |
是否通过 |
通过 |
代码语言 |
C++ |
运行时间 |
0.019 s |
提交时间 |
2016-07-10 17:34:12 |
内存使用 |
1.50 MiB |
显示代码纯文本
#include<cstdio>
#include<cstring>
#include<algorithm>
using namespace std;
const int maxn=50010;
struct node{//AVL Balanced Tree
int data,size,h;
node *lch,*rch,*prt;
node(int d=0):data(d),size(1),h(1),lch(NULL),rch(NULL),prt(NULL){}
void refresh(){
size=h=1;
if(lch){
size+=lch->size;
h=max(h,lch->h+1);
}
if(rch){
size+=rch->size;
h=max(h,rch->h+1);
}
}
int bal(){
if(lch&&rch)return lch->h-rch->h;
if(lch&&!rch)return lch->h;
if(!lch&&rch)return -rch->h;
return 0;
}
};
node *root=NULL;
node *newnode(int=0);
void insert(node*,node* =root);
node *find(int,node* =root);
void del(node*);
node *prev(node*);
node *succ(node*);
void lrot(node*);
void rrot(node*);
node *findmin(node* =root);
node *findmax(node* =root);
int rank(int,node* =root);
node *kth(int,node* =root);
int previous(int,node* =root);
int succeeding(int,node* =root);
struct Event{
bool type;//true means in,false means out
int pos,num;
bool operator<(const Event& x)const{
if(pos!=x.pos)return pos<x.pos;
if(type!=x.type)return type;
return num>x.num;
}
}a[maxn<<1];
int n,m=0;
bool vis[maxn]={false};
int main(){
#define MINE
#ifdef MINE
freopen("ha14d.in","r",stdin);
freopen("ha14d.out","w",stdout);
#endif
insert(new node(0));
scanf("%*d%d",&n);
for(int i=1;i<=n;i++){
scanf("%d%d",&a[i].pos,&a[i+n].pos);
a[i+n].pos++;
a[i].num=a[i+n].num=i;
a[i].type=true;
a[i+n].type=false;
}
n<<=1;
sort(a+1,a+n+1);
for(int i=1;i<=n;i++){
if(a[i].type)insert(new node(a[i].num));
else{
del(find(a[i].num));
while(i<=n&&!a[i+1].type&&a[i+1].pos==a[i].pos){
del(find(a[++i].num));
}
}
vis[findmax()->data]=true;
}
n>>=1;
for(int i=1;i<=n;i++)if(vis[i])m++;
printf("%d\n",m);
return 0;
}
node *newnode(int d){
return new node(d);
}
void insert(node *x,node *rt){
if(!root){
root=x;
return;
}
for(;;){
if(x->data<rt->data){
if(rt->lch)rt=rt->lch;
else{
rt->lch=x;
break;
}
}
else{
if(rt->rch)rt=rt->rch;
else{
rt->rch=x;
break;
}
}
}
x->prt=rt;
//Insert Balance
while(rt){
rt->refresh();
if(rt->bal()==2){//L
x=rt->lch;
if(x->bal()==1){//LL
rrot(rt);
}
else{//LR
lrot(x);
rrot(rt);
}
rt=rt->prt;
}
else if(rt->bal()==-2){//L
x=rt->rch;
if(x->bal()==-1){//RR
lrot(rt);
}
else{//RL
rrot(x);
lrot(rt);
}
rt=rt->prt;
}
rt=rt->prt;
}
}
node *find(int x,node *rt){
while(rt){
if(x==rt->data)return rt;
if(x<rt->data)rt=rt->lch;
else rt=rt->rch;
}
return NULL;
}
void del(node *x){
if(x->lch&&x->rch){
node *y=prev(x);
x->data=y->data;
del(y);
}
else{
if(x->lch&&!x->rch){
x->lch->prt=x->prt;
if(x->prt){
if(x==x->prt->lch)x->prt->lch=x->lch;
else x->prt->rch=x->lch;
}
else root=x->lch;
}
else if(!x->lch&&x->rch){
x->rch->prt=x->prt;
if(x->prt){
if(x==x->prt->lch)x->prt->lch=x->rch;
else x->prt->rch=x->rch;
}
else root=x->rch;
}
else{
if(x->prt){
if(x==x->prt->lch)x->prt->lch=NULL;
else x->prt->rch=NULL;
}
else root=NULL;
}
//Delete Balance
node *rt=x->prt;
delete x;
for(;rt;rt=rt->prt){
rt->refresh();
if(rt->bal()==2){//L
x=rt->lch;
if(x->bal()==1){//LL
rrot(rt);
}
else if(x->bal()==-1){//LR
lrot(x);
rrot(rt);
}
else{//LE
rrot(rt);
}
rt=rt->prt;
}
else if(rt->bal()==-2){//R
x=rt->rch;
if(x->bal()==-1){//RR
lrot(rt);
}
else if(x->bal()==1){//RL
rrot(x);
lrot(rt);
}
else{//RE
lrot(rt);
}
rt=rt->prt;
}
}
}
}
node *prev(node *x){
if(!x->lch)return NULL;
for(x=x->lch;x->rch;x=x->rch);
return x;
}
node *succ(node *x){
if(!x->rch)return NULL;
for(x=x->rch;x->lch;x=x->lch);
return x;
}
void lrot(node *x){
if(!x)return;
node *y=x->rch;
if(!y)return;
y->prt=x->prt;
if(x->prt){
if(x==x->prt->lch)x->prt->lch=y;
else x->prt->rch=y;
}
else root=y;
x->prt=y;
x->rch=y->lch;
if(y->lch)y->lch->prt=x;
y->lch=x;
x->refresh();
y->refresh();
}
void rrot(node *x){
if(!x)return;
node *y=x->lch;
if(!y)return;
y->prt=x->prt;
if(x->prt){
if(x==x->prt->lch)x->prt->lch=y;
else x->prt->rch=y;
}
else root=y;
x->prt=y;
x->lch=y->rch;
if(y->rch)y->rch->prt=x;
y->rch=x;
x->refresh();
y->refresh();
}
node *findmin(node *rt){
if(!rt)return NULL;
while(rt->lch)rt=rt->lch;
return rt;
}
node *findmax(node *rt){
if(!rt)return NULL;
while(rt&&rt->rch)rt=rt->rch;
return rt;
}
int rank(int x,node* rt){
if(!rt)return -1;
if(!rt->rch&&x>rt->data)return -1;
if(rt->lch){
if(x==rt->data){
while(rt->lch&&rt->lch->data==rt->data)rt=rt->lch;
if(rt->lch)return rt->lch->size+1;
return 1;
}
if(x<rt->data)return rank(x,rt->lch);
return rank(x,rt->rch)+rt->lch->size+1;
}
if(x==rt->data)return 1;
if(x<rt->data)return -1;
return rank(x,rt->rch)+1;
}
node *kth(int x,node *rt){
if(x==1)return findmin(rt);
if(rt->lch&&rt->lch->size==x-1)return rt;
if(rt->lch&&rt->lch->size>=x)return kth(x,rt->lch);
else if(rt->lch)return kth(x-rt->lch->size-1,rt->rch);
else return kth(x-1,rt->rch);
}
int previous(int x,node *rt){//小于x,且最大的数
if(!rt)return -0x7ffffff;
if(x<=rt->data)return previous(x,rt->lch);
else return max(rt->data,previous(x,rt->rch));//rt->data<x
}
int succeeding(int x,node *rt){//大于x,且最小的数
if(!rt)return 0x7ffffff;
if(x>=rt->data)return succeeding(x,rt->rch);
else return min(rt->data,succeeding(x,rt->lch));//rt->data>x
}
/*int previous(int x,node *rt){
if(!rt)return 0x7ffffff;
if(rt->size==1)return rt->data;
if(rt->data>=x)return previous(x,rt->lch);
if(!rt->rch)return rt->data;
node *y=findmin(rt->rch);
return (y&&y->data<x?previous(x,rt->rch):rt->data);
}
int succeeding(int x,node *rt){
if(!rt)return -0x7ffffff;
if(rt->size==1)return rt->data;
if(rt->data<=x)return succeeding(x,rt->rch);
if(!rt->lch)return rt->data;
node *y=findmax(rt->lch);
return (y&&y->data>x)?succeeding(x,rt->lch):rt->data;
}*/