cto 1-1 there sync ali after hat tor memory

Mayor‘s posters

Time Limit: 1000MS		Memory Limit: 65536K
Total Submissions: 51098		Accepted: 14788

Description

The citizens of Bytetown, AB, could not stand that the candidates in the mayoral election campaign have been placing their electoral posters at all places at their whim. The city council has finally decided to build an electoral wall for placing the posters and introduce the following rules:

• Every candidate can place exactly one poster on the wall.
• All posters are of the same height equal to the height of the wall; the width of a poster can be any integer number of bytes (byte is the unit of length in Bytetown).
• The wall is divided into segments and the width of each segment is one byte.
• Each poster must completely cover a contiguous number of wall segments.

They have built a wall 10000000 bytes long (such that there is enough place for all candidates). When the electoral campaign was restarted, the candidates were placing their posters on the wall and their posters differed widely in width. Moreover, the candidates started placing their posters on wall segments already occupied by other posters. Everyone in Bytetown was curious whose posters will be visible (entirely or in part) on the last day before elections.
Your task is to find the number of visible posters when all the posters are placed given the information about posters‘ size, their place and order of placement on the electoral wall.

Input

The first line of input contains a number c giving the number of cases that follow. The first line of data for a single case contains number 1 <= n <= 10000. The subsequent n lines describe the posters in the order in which they were placed. The i-th line among the n lines contains two integer numbers l_i and ri which are the number of the wall segment occupied by the left end and the right end of the i-th poster, respectively. We know that for each 1 <= i <= n, 1 <= l_i <= ri <= 10000000. After the i-th poster is placed, it entirely covers all wall segments numbered l_i, l_i+1 ,... , ri.

Output

For each input data set print the number of visible posters after all the posters are placed.

The picture below illustrates the case of the sample input.

Sample Input

1
5
1 4
2 6
8 10
3 4
7 10

Sample Output

4

思路：
很經典的題。。線段樹+離散化，難點主要在於需要用特殊的離散化方法，一般的離散化方法會出錯
比如下面這串數據
3
1-10
1-4
6-10
一般離散化後就會變成 a[0] = 1;a[1] = 4;a[2] = 6;a[3]= 10;
離散化將把這些數據的下標作為值放進線段樹處理後就會成為：
0 - 3 為1顏色
0 - 1 為2顏色
2 - 3 為3顏色
最後只存在兩種顏色
但正確的過程應該是：
1 - 10 為1顏色
1 - 4 為2顏色
6 - 10 為3顏色
最後存在三種顏色

實現代碼：

#include<iostream>
#include<cstring>
#include<algorithm>
using namespace std;
#define ll long long
#define lson l,m,rt<<1
#define rson m+1,r,rt<<1|1
#define mid int m = (l + r) >> 1
const int M = 2e5+10;
int col[M<<2],Hash[M<<2],cnt,a[M],l[M],r[M];
void pushdown(int rt){
    if(col[rt]!=-1){
        col[rt<<1] = col[rt<<1|1] = col[rt];
        col[rt] = -1;
    }
}

void update(int L,int R,int c,int l,int r,int rt){
    if(L <= l&&R >= r){
        col[rt] = c;
        return ;
    }
    pushdown(rt);
    mid;
    if(L <= m) update(L,R,c,lson);
    if(R > m) update(L,R,c,rson);
}

void query(int l,int r,int rt){
    if(col[rt]!=-1){
        if(Hash[col[rt]]==0) cnt++;
        Hash[col[rt]] = 1;
        return ;
    }
    if(l == r) return;
    mid;
    query(lson);
    query(rson);
}

int bin(int key,int n,int a[]){
    int l = 0,r = n-1;
    while(l <= r){
        mid;
        if(a[m] == key) return m;
        else if(a[m] < key) l = m+1;
        else r = m-1;
     }
     return -1;
}
int main()
{
    ios::sync_with_stdio(0);
    cin.tie(0); cout.tie(0);
    int t,n;
    cin>>t;
    while(t--){
        cin>>n;
        memset(col,-1,sizeof(col));
        memset(Hash,0,sizeof(Hash));
        int nn = 0;
        cnt = 0;
        for(int i = 0;i < n;i++){
            cin>>l[i]>>r[i];
            a[nn++] = l[i];a[nn++] = r[i];
        }
        sort(a,a+nn);
        int m = 1;
        for(int i = 1;i < nn;i ++){
            if(a[i]!=a[i-1]) a[m++] = a[i];
        }
        for(int i = m-1;i > 0;i --){
            if(a[i]!=a[i-1]+1) a[m++] = a[i] + 1;
        }
        sort(a,a+m);
        for(int i = 0;i < n;i ++){
            int li = bin(l[i],m,a);
            int ri = bin(r[i],m,a);
            update(li,ri,i,0,m,1);
        }
        query(0,m,1);
        cout<<cnt<<endl;
    }
}

poj 2528 線段樹+特殊離散化