Codeforces 845 C. Two TVs （模拟）

Description

Polycarp is a great fan of television.

He wrote down all the TV programs he is interested in for today. His list contains n shows, i-th of them starts at moment li and ends at moment ri.

Polycarp owns two TVs. He can watch two different shows simultaneously with two TVs but he can only watch one show at any given moment on a single TV. If one show ends at the same moment some other show starts then you can’t watch them on a single TV.

Polycarp wants to check out all n shows. Are two TVs enough to do so?

Input

The first line contains one integer n (1 ≤ n ≤ 2·10^5) — the number of shows.

Each of the next n lines contains two integers li and ri (0 ≤ li < ri ≤ 10^9) — starting and ending time of i-th show.

Output

If Polycarp is able to check out all the shows using only two TVs then print “YES” (without quotes). Otherwise, print “NO” (without quotes).

Examples input

3
1 2
2 3
4 5

Examples output

YES

题意

给定所有电视节目的播放时间，有两台电视，问能否完整收看所有的电视节目。（同一个电视无法完整收看两个连续时间的节目）

思路

模拟出两台电视观看节目的结束时间，然后排序枚举一遍所有的节目即可。

AC 代码

#include<bits/stdc++.h>
#define IO ios::sync_with_stdio(false);\
    cin.tie(0);\
    cout.tie(0);
using namespace std;
typedef long long LL;
const int maxn = 2e5+10;

struct node
{
    int l,r;
} a[maxn];
int n;

bool judge()
{
    int tv1 = INT_MIN;
    int tv2 = INT_MIN;
    for(int i=0; i<n; i++)
    {
        if(a[i].l>tv1)
            tv1 = a[i].r;
        else if(a[i].l>tv2)
            tv2 = a[i].r;
        else
            return false;
    }
    return true;
}

int main()
{
    IO;
    cin>>n;
    for(int i=0; i<n; i++)
    {
        cin>>a[i].l>>a[i].r;
    }
    sort(a,a+n,[](const node &x,const node &y)
    {
        if(x.l==y.l)
            return x.r<y.r;
        return x.l<y.l;
    });
    cout<<(judge()?"YES":"NO")<<endl;
    return 0;
}