POJ2352 Stars

B - Stars

Time Limit:1000MS     Memory Limit:65536KB     64bit IO Format:%I64d & %I64u

Submit Status Practice POJ 2352

Description

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.

/*
Author: 2486
Memory: 604 KB		Time: 391 MS
Language: G++		Result: Accepted
Public:		No
*/
//进行横坐标标注
//题目数据的输入已经确定。是先依照Y坐标升序，当y相等时。依照X坐标升序
//如此，在如今输入的数的X坐标之前已经是满足条件的数即仅仅要是属于此时输入的数的左下角的全部星星个数之和就是他的等级
//通过树状数组能够高速的求解某个区间之前的全部数的和。
#include <cstdio>
#include <cstring>
#include <algorithm>
using namespace std;
const int maxn=32000+5;
int A[maxn],B[maxn],n,x,y;
int lowbit(int x) {
    return x&(-x);
}
int sum(int x) {
    int cnt=0;
    while(x>0) {
        cnt+=A[x];
        x-=lowbit(x);
    }
    return cnt;
}
void add(int x,int d) {
    while(x<maxn) {
        A[x]+=d;
        x+=lowbit(x);
    }
}
int main() {
    while(~scanf("%d",&n)) {
        memset(B,0,sizeof(B));
        memset(A,0,sizeof(A));
        for(int i=0; i<n; i++) {
            scanf("%d%d",&x,&y);
            B[sum(++x)]++;
            add(x,1);
        }
        for(int i=0; i<n; i++)printf("%d\n",B[i]);
    }
    return 0;
}