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Restaurant (背包问题)

热度:30   发布时间:2023-11-26 10:06:51.0

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                                    Restaurant


A restaurant received n orders for the rental. Each rental order reserve the restaurant for a continuous period of time, the i-th order is characterized by two time values — the start time li and the finish time ri (li?≤?ri).

Restaurant management can accept and reject orders. What is the maximal number of orders the restaurant can accept?

No two accepted orders can intersect, i.e. they can't share even a moment of time. If one order ends in the moment other starts, they can't be accepted both.

Input

The first line contains integer number n (1?≤?n?≤?5·105) — number of orders. The following n lines contain integer values li and ri each (1?≤?li?≤?ri?≤?109).

Output

Print the maximal number of orders that can be accepted.

Example
Input
2
7 11
4 7
Output
1
Input
5
1 2
2 3
3 4
4 5
5 6
Output
3
Input
6
4 8
1 5
4 7
2 5
1 3
6 8
Output
2
题解:这是背包问题,直接做就可以

下面是我的代码:

#include<cstdio>
#include<algorithm>
#include<cstring>
#include<cmath>
#include<cstdlib>
#include<iostream>
using namespace std;
struct P
{int star;int endd;
}num[900000];
bool cmp(P a,P b)
{return a.endd<b.endd;
}
int main()
{int n,k,p;while(scanf("%d",&n)!=EOF){k=1;for(int i=0;i<n;i++){scanf("%d%d",&num[i].star,&num[i].endd);}sort(num,num+n,cmp);p=num[0].endd;for(int i=1;i<n;i++){if(num[i].star>p){k++;p=num[i].endd;}}printf("%d\n",k);}return 0;
}