POJ-2352-Stars（树状数组）

Astronomers often examine star maps where stars are represented by points on a plane and each star has Cartesian coordinates. Let the level of a star be an amount of the stars that are not higher and not to the right of the given star. Astronomers want to know the distribution of the levels of the stars. 

For example, look at the map shown on the figure above. Level of the star number 5 is equal to 3 (it's formed by three stars with a numbers 1, 2 and 4). And the levels of the stars numbered by 2 and 4 are 1. At this map there are only one star of the level 0, two stars of the level 1, one star of the level 2, and one star of the level 3. 

You are to write a program that will count the amounts of the stars of each level on a given map.

Input

The first line of the input file contains a number of stars N (1<=N<=15000). The following N lines describe coordinates of stars (two integers X and Y per line separated by a space, 0<=X,Y<=32000). There can be only one star at one point of the plane. Stars are listed in ascending order of Y coordinate. Stars with equal Y coordinates are listed in ascending order of X coordinate. 

Output

The output should contain N lines, one number per line. The first line contains amount of stars of the level 0, the second does amount of stars of the level 1 and so on, the last line contains amount of stars of the level N-1.

Sample Input

5
1 1
5 1
7 1
3 3
5 5

Sample Output

1
2
1
1
0

Hint

This problem has huge input data,use scanf() instead of cin to read data to avoid time limit exceed.

题解

这道题n<=15000，我们可以考虑用树状数组来做

因为数据给你的保证y是单调递增的，所以我们只要将x放入树状数组中就可以了，不过这里要注意x>=0所以我们每次add的时候要加x+1，查询的时候也要+1

#include<algorithm>
#include<cstdio>
#include<cstring>
#include<cmath>
#define N 32005
using namespace std;
int n,x,y;
int a[N],tr[N];
int lowbit(int x){ return x&(-x); }
void add(int x){
    while (x<=32001){
        tr[x]++;
        x+=lowbit(x);
    }
}
int query(int x){
    int s=0;
    while (x>0){
        s+=tr[x];
        x-=lowbit(x);
    }
    return s;
}
int main(){
    scanf("%d",&n);
    for (int i=1;i<=n;i++){
        scanf("%d%d",&x,&y);
        a[query(x+1)]++;
        add(x+1);
    }
    for (int i=0;i<n;i++) printf("%d
",a[i]);
    return 0;
}