POJ2481 Cows 树状数组的简单应用

题意给了你N头牛,每头牛的强壮值是一个区间[s,e],如果第 i 头牛比第 j 头牛强壮那么必须满足 Si <= Sj and Ej <= Ei and Ei - Si > Ej - Sj;

为了满足这三个条件我们进行排序,先以e降序排为先决条件,若e相等则让s升序排列,如此即可满足三个条件,这道题目任意两头牛的强壮值区间有可能完全一样,这样就不需要重新用树状数组求一次和了,直接赋值即可,这样可以省很多时间,因为已经排序处理了,所以即便区间相等的  肯定就是相邻的,所以直接扫一遍即可,若不想等则用树状数组求和,往树状数组里添加的时候,以牛的s为序号,以1为value来加进去,这样处理以后就跟POJ2352简直是一模一样了

#include<iostream>
#include<cstdio>
#include<list>
#include<algorithm>
#include<cstring>
#include<string>
#include<stack>
#include<map>
#include<vector>
#include<cmath>
#include<memory.h>
#include<set>
#include<cctype>

#define ll long long
#define LL __int64
#define eps 1e-8

//const ll INF=9999999999999;

#define inf 0xfffffff

using namespace std;

//vector<pair<int,int> > G;
//typedef pair<int,int> P;
//vector<pair<int,int>> ::iterator iter;
//
//map<ll,int>mp;
//map<ll,int>::iterator p;

typedef struct Node {
	int s,e;
	int id;
};

Node node[100000 + 5];

int n;
int c[100000 + 5];
int ans[100000 + 5];

void clear() {
	memset(node,0,sizeof(node));
	memset(c,0,sizeof(c));
	memset(ans,0,sizeof(ans));
}

bool cmp(Node x,Node y) {
	if(x.e == y.e)
		return x.s < y.s;
	return x.e > y.e;
}

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

void add(int i,int value) {
	while(i <= n) {
		c[i] += value;
		i += lowbit(i);
	}
}

int get_sum(int i) {
	int sum = 0;
	while(i > 0) {
		sum += c[i];
		i -= lowbit(i);
	}
	return sum ;
}

int main() {
	while(scanf("%d",&n),n) {
		clear();
		for(int i=1;i<=n;i++) {
			scanf("%d %d",&node[i].s,&node[i].e);
			node[i].s++;
			node[i].e++;//题目给的区间有从0开始
			node[i].id = i;
		}
		sort(node + 1,node + n + 1,cmp);
		for(int i=1;i<=n;i++) {
			if(i > 1 && node[i].s == node[i-1].s && node[i].e == node[i-1].e)//相等直接诶赋值
				ans[node[i].id] = ans[node[i-1].id];
			else
				ans[node[i].id] = get_sum(node[i].s);//否则树状数组求和
			add(node[i].s,1);
		}
		for(int i=1;i<n;i++)
			printf("%d ",ans[i]);
		printf("%d\n",ans[n]);
	}
	return 0;
}

POJ2481 Cows 树状数组的简单应用,码迷,mamicode.com

时间: 2024-08-07 15:25:33

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