Codeforces 845C Two TVs【思维】水题

C. Two TVs

time limit per test

2 seconds

memory limit per test

256 megabytes

input

standard input

output

standard output

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 ≤ 2·105) — the number of shows.

Each of the next n lines contains two integers li and ri (0 ≤ li < ri ≤ 109) — 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

31 22 34 5

output

YES

input

41 22 32 31 2

output

NO

题目大意：

现在一个节目的开始和结束区间已经给出【L,R】，问我们两台电视机是否能够观看完这N个节目。

思路：

我们直接将每个点离散化一下，然后每到一个节目的L端点，我们就要sum++，表示我们需要一台机器了，如果到一个节目的R+1端点，也就是节目结束的同时，我们sum--，表示这台机器暂时可以关闭一下了。

过程维护一下sum，如果sum>2了，那么说明两台机器不够，那么对应结果就是NO，否则就是YES.

#include<stdio.h>#include<string.h>#include<algorithm>using namespace std;struct node{    int val,pos,op;}a[4500000];int sum[4500000];int cmp(node a,node b){    if(a.pos==b.pos)return a.op<b.op;    return a.pos<b.pos;}int main(){    int n;    while(~scanf("%d",&n))    {        int cnt=0;        memset(sum,0,sizeof(sum));        for(int i=1;i<=n;i++)        {            int l,r;            scanf("%d%d",&l,&r);            a[cnt].pos=l;            a[cnt++].op=1;            a[cnt].pos=r+1;            a[cnt++].op=-1;        }        int tot=1;        sort(a,a+cnt,cmp);        for(int i=0;i<cnt;i++)        {            a[i].val=tot;            if(i==cnt-1||a[i].pos!=a[i+1].pos)            {                tot++;            }        }        int flag=0;        int summ=0;        for(int i=0;i<cnt;i++)        {            summ+=a[i].op;            if(summ>2)flag=1;        }        if(flag==1)printf("NO\n");        else printf("YES\n");    }}