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POJ - 2481 - Cows （树状数组+排序！！）

2024-08-10 06:31:35   221人阅读

Cows
Time Limit: 3000MS Memory Limit: 65536K
Total Submissions: 13304 Accepted: 4407

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: cowi and cowj, their favourite clover range is [Si, Ei] and [Sj, Ej]. If Si <= Sj and Ej <= Ei and Ei - Si > Ej - Sj, we say that cowi is stronger than cowj. 

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 cowi. 

Sample Input

3
1 2
0 3
3 4
0

Sample Output

1 0 0

Hint

Huge input and output,scanf and printf is recommended.

Source

POJ Contest,Author:Mathematica@ZSU

第一次用树状数组，不得不赞叹算法的奇妙啊，，太神奇了！！！！

我还是这么弱。。还得继续努力咯！！！！技术分享

题意给出每头牛的S与E，当Si<=Sj&&Ej<=Ei&&Ei-Si>Ej-Sj 说明i牛比j牛强壮，找出比i(1...n)强壮的牛的个数

思路：树状数组，将E[]升序排列，如果E相同则S[]降序排列,注意点就是坐标x会有0出现，所以坐标x+1,避免死循环


AC代码：

#include <cstdio>
#include <cstring>
#include <algorithm>
using namespace std;

const int maxn = 100005;
int C[maxn], ans[maxn], n, maxx;
struct node
{
	int s, e, num;
}cow[maxn];

bool cmp(node a, node b)
{
	if(a.e!=b.e) return a.e>b.e;
	else return a.s<b.s;
}

int lowbit(int x)
{
	return x&(-x);
}

int sum(int x)
{
	int ret = 0;
	while(x > 0)
	{
		ret += C[x]; x -= lowbit(x);
	}
	return ret;
}

void add(int x)
{
	while(x <= maxx)
	{
		C[x] += 1; x += lowbit(x);
	}
}

int main()
{
    while(scanf("%d", &n), n)
    {
        memset(C, 0, sizeof(C)); 
        memset(ans, 0, sizeof(ans));
        maxx=0; 
        for(int i=1; i<=n; i++)
        {
            scanf("%d %d", &cow[i].s, &cow[i].e);
            cow[i].s++, cow[i].e++; 
            cow[i].num=i;
            maxx=max(maxx, cow[i].s); 
        }
        sort(cow+1, cow+n+1, cmp);
        for(int i=1; i<=n; i++)
        { 
            add(cow[i].s);
            if(cow[i].s==cow[i-1].s && cow[i].e==cow[i-1].e && i>1)
        		ans[cow[i].num] = ans[cow[i-1].num];
            else 
            	ans[cow[i].num] = sum(cow[i].s)-1;
        } 
        for(int i=1; i<n; i++)
            printf("%d ", ans[i]);
        printf("%d\n", ans[n]);
    }
	return 0;
}






POJ - 2481 - Cows （树状数组+排序！！）


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