Cleaning Shifts（区域覆盖）

Farmer John is assigning some of his N (1 <= N <= 25,000) cows to do some cleaning chores around the barn. He always wants to have one cow working on cleaning things up and has divided the day into T shifts (1 <= T <= 1,000,000), the first being shift 1 and the last being shift T. 

Each cow is only available at some interval of times during the day for work on cleaning. Any cow that is selected for cleaning duty will work for the entirety of her interval. 

Your job is to help Farmer John assign some cows to shifts so that (i) every shift has at least one cow assigned to it, and (ii) as few cows as possible are involved in cleaning. If it is not possible to assign a cow to each shift, print -1.

Input

* Line 1: Two space-separated integers: N and T 

* Lines 2..N+1: Each line contains the start and end times of the interval during which a cow can work. A cow starts work at the start time and finishes after the end time.

Output

* Line 1: The minimum number of cows Farmer John needs to hire or -1 if it is not possible to assign a cow to each shift.

Sample Input

3 101 73 66 10

Sample Output

2

Hint

This problem has huge input data,use scanf() instead of cin to read data to avoid time limit exceed. 

INPUT DETAILS: 

There are 3 cows and 10 shifts. Cow #1 can work shifts 1..7, cow #2 can work shifts 3..6, and cow #3 can work shifts 6..10. 

OUTPUT DETAILS: 

By selecting cows #1 and #3, all shifts are covered. There is no way to cover all the shifts using fewer than 2 cows.

题意：N个牛分配清洁工作，给出N个牛的工作时间区间，求最少需要多少个牛就能完成从1到T时间段的清洁工作；

贪心（区间覆盖），把各区间的x从小到大排序，从区间1开始，选择区间起点为1的最长区间[xi,yi],则新的起点从yi开始；

#include<cstdio>#include<cstring>#include<iostream>#include<algorithm>#include<cmath>#include<queue>#include<stack>#include<map>using namespace std;const int MAXN=25005;int n,m;struct node{    int x,y;} z[MAXN];int cmp(node a,node b){    return a.x<b.x;}int main(){    while(~scanf("%d%d",&n,&m))    {        for(int i=0; i<n; i++)        {            scanf("%d%d",&z[i].x,&z[i].y);        }        sort(z,z+n,cmp);        int left=1,right,ans,i=0;        ans=right=0;        while(left<=m)        {            for(; i<n&&z[i].x<=left; i++)                if(z[i].y>right)                    right=z[i].y;            if(right>=left) left=right+1,ans++;            else break;        }        if(left<=m) ans=-1;        printf("%d\n",ans);    }    return 0;}