poj2481

Cows

Time Limit: 3000MS		Memory Limit: 65536K
Total Submissions: 10785		Accepted: 3572

Description

Farmer John's cows have discovered that the clover growing along the ridge of the hill (which we can think of as a one-dimensional number line) in his field is particularly good.

Farmer John has N cows (we number the cows from 1 to N). Each of Farmer John's N cows has a range of clover that she particularly likes (these ranges might overlap). The ranges are defined by a closed interval [S,E].

But some cows are strong and some are weak. Given two cows: cow_i and cow_j, their favourite clover range is [Si, Ei] and [Sj, Ej]. If Si <= Sj and Ej <= Ei and Ei - Si > Ej - Sj, we say that cow_i is stronger than cow_j.

For each cow, how many cows are stronger than her? Farmer John needs your help!

Input

The input contains multiple test cases.
For each test case, the first line is an integer N (1 <= N <= 10⁵), which is the number of cows. Then come N lines, the i-th of which contains two integers: S and E(0 <= S < E <= 10⁵) specifying the start end location respectively of a range preferred by some cow. Locations are given as distance from the start of the ridge.

The end of the input contains a single 0.

Output

For each test case, output one line containing n space-separated integers, the i-th of which specifying the number of cows that are stronger than cow_i.

Sample Input

3
1 2
0 3
3 4
0

Sample Output

1 0 0

#include <stdio.h>
#include <string.h>
#include <math.h>
#include <algorithm>
#include <iomanip>
#include <set>
#include <map>
#include <vector>
#include <queue>
#define llt long long int
#define ml(x, y) ((x + y) >> 1)
#define mr(x, y) (((x + y) >> 1) + 1)
#define pl(p) (p << 1)
#define pr(p) ((p << 1) | 1)
#define N 100005
using namespace std;
struct node
{
    int s, e, pos;
    bool operator < (const node& a)const//按照先左边小，再右边大进行排序
    {
        return s == a.s ? e > a.e : s < a.s;
    }
}a[N];
int segtree[N << 2], ans[N];
void build(int l, int r, int p)
{
    segtree[p] = 0;
    if (l < r)
    {
        build(l, ml(l, r), pl(p));
        build(mr(l, r), r, pr(p));
    }
}
void update(int l, int r, int p, int v)
{
    segtree[p]++;
    if (l != r)
        if (ml(l, r) >= v)
            update(l, ml(l, r), pl(p), v);
        else
            update(mr(l, r), r, pr(p), v);
}
int query(int l, int r, int p, int v)//查询区间[l, imax]的个数
{
    if (v <= l)
        return segtree[p];
    int ans = 0;
    if (ml(l, r) >= v)//等于[l,mid]+[mid+1,imax] 
        ans = segtree[pr(p)] + query(l, ml(l, r), pl(p), v);
    else//[mid+1,imax] 
        ans = query(mr(l, r), r, pr(p), v);
    return ans;
}
int main()
{
    int n, i, maxe;//maxe记录一个最大值
    while (scanf("%d", &n), n)
    {
        maxe = 0;
        for (i = 0; i < n; i++)
        {
            scanf("%d%d", &a[i].s, &a[i].e);
            a[i].pos = i;
            if (maxe < a[i].e)
                maxe = a[i].e;
        }
        sort(a, a + n);//排序 
        build(0, maxe, 1);
        for (i = 0; i < n; i++)
        {
            if (i != 0 && a[i].e == a[i - 1].e && a[i].s == a[i - 1].s)//处理重复的
                ans[a[i].pos] = ans[a[i - 1].pos];//
            else
                ans[a[i].pos] = query(0, maxe, 1, a[i].e);//查询只需要得要a[i].e到imax有多少个数就行了
            update(0, maxe, 1, a[i].e);//因为s小的先处理,所以只需要根据e来更新，记录该区间e的个数
        }
        printf("%d", ans[0]);
        for (i = 1; i < n; i++)
            printf(" %d", ans[i]);
        putchar('
');
    }
    return 0;
}