luogu P1382 楼房

Posted 2020-09-21 ZlycerQan

二次联通门 : luogu P1382 楼房

 

 

 

/*
    luogu P1382 楼房


    线段树 + 扫描线 + 离散化 
    正解貌似是堆。。。
    
       MMP。。。二段式线段树各种错误。。。

    离散化一下横坐标
    扫描线扫一下就好。。
    
    注意判断一个横坐标上对应两个y值的情况。。。 
*/ 
#include <algorithm>
#include <cstdio>

#define Max 1000002

void read (int &now)
{
    now = 0;
    bool temp = false;
    register char word = getchar ();
    while (word < ‘0‘ || word > ‘9‘)
    {
        if (word == ‘-‘)
            temp = true;
        word = getchar ();
    }
    while (word >= ‘0‘ && word <= ‘9‘)
    {
        now = now * 10 + word - ‘0‘;
        word = getchar ();
    }
    if (temp)
        now = -now;
}

inline int min (int _Curs_, int ROcs_)
{
    return _Curs_ < ROcs_ ? _Curs_ : ROcs_;
}

inline int max (int _Curs_, int ROcs_)
{
    return _Curs_ > ROcs_ ? _Curs_ : ROcs_;
}

struct Segment_Tree_Data
{
    Segment_Tree_Data *Left, *Right;
    
    int l, r;
    int key;
    int Flandre;
    int Mid;
    
    Segment_Tree_Data ()
    {
        Left = NULL;
        Right = NULL;
        key = 0;
        Flandre = 0;
    }
};

struct Data_Type
{
    int l, r;
    int h;
    
    bool operator < (const Data_Type &now) const
    {
        return now.l < l;
    }
};

struct Point_Data
{
    int x, y;
};

Segment_Tree_Data *Root;

class Segment_Tree_Type
{
    public :
        
        void Build (Segment_Tree_Data *&now, int l, int r)
        {
            now = new Segment_Tree_Data ();
            now->l = l;
            now->r = r;
            if (l == r)
                return ;
            now->Mid = l + r >> 1;
            
            Build (now->Left, l, now->Mid);
            Build (now->Right, now->Mid + 1, r);
        }
        
        void Change_Section (Segment_Tree_Data *&now, int l, int r, int to)
        {
            if (l <= now->l && r >= now->r)
            {    
                now->key = max (now->key, to);
                now->Flandre = max (now->Flandre, to);
                return ;
            }
            if (now->Flandre)
            {
                now->Left->key = max (now->Flandre, now->Left->key);
                now->Right->key = max (now->Flandre, now->Right->key);
                
                now->Left->Flandre = max (now->Flandre, now->Left->Flandre);
                now->Right->Flandre = max (now->Flandre, now->Right->Flandre);
                
                now->Flandre = 0;
            }
            if (l <= now->Mid)
                Change_Section (now->Left, l, min (now->Mid, r), to);
            if (r > now->Mid)
                Change_Section (now->Right, max (now->Mid + 1, l), r, to);
            now->key = max (now->Left->key, now->Right->key);
        }
        
        int Query (Segment_Tree_Data *&now, int pos)
        {
            if (now->l == now->r)
                return now->key;
            if (now->Flandre)
            {
                now->Left->key = max (now->Flandre, now->Left->key);
                now->Right->key = max (now->Flandre, now->Right->key);
                
                now->Left->Flandre = max (now->Flandre, now->Left->Flandre);
                now->Right->Flandre = max (now->Flandre, now->Right->Flandre);
                
                now->Flandre = 0;
            }
            now->key = max (now->Left->key, now->Right->key);
            if (pos <= now->Mid)
                return Query (now->Left, pos);
            else
                return Query (now->Right, pos);
        }
};

Segment_Tree_Type Tree;


Data_Type data[Max];

int Answer;
int rank[Max << 2];
int N;
int Size, Count;

Point_Data point[Max];

int main (int argc, char *argv[])
{
    read (N);
    for (int i = 1; i <= N; i++)
    {
        read (data[i].h);
        read (data[i].l);
        read (data[i].r);
        rank[++Size] = data[i].l;
        rank[++Size] = data[i].r;
    }
    std :: sort (rank + 1, rank + 1 + Size);
    Size = std :: unique (rank + 1, rank + 1 + Size) - rank - 1;
    Root = NULL;
    Tree.Build (Root, 1, Size); 
    for (int i = 1; i <= N; i++)
    {
        data[i].l = std :: lower_bound (rank + 1, rank + 1 + Size, data[i].l) - rank;
        data[i].r = std :: lower_bound (rank + 1, rank + 1 + Size, data[i].r) - rank;
        Tree.Change_Section (Root, data[i].l, data[i].r - 1, data[i].h);
    }
    
    for (int i = 1; i <= Size; i++)
    {
        point[i].x = rank[i];
        point[i].y = Tree.Query (Root, i);
        if (point[i].y != point[i - 1].y)
            Answer++; 
    }
    printf ("%d\n", Answer << 1);
    for (int i = 1; i <= Size; i++)
        if (point[i].y != point[i - 1].y)
        {
            printf ("%d %d\n", point[i].x, point[i - 1].y);
            printf ("%d %d\n", point[i].x, point[i].y);
        }
    return 0;
}