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Description
An integer interval [a,b], a < b, is a set of all consecutive integers beginning with a and ending with b.
Write a program that: finds the minimal number of elements in a set containing at least two different integers from each interval.
Write a program that: finds the minimal number of elements in a set containing at least two different integers from each interval.
Input
The first line of the input contains the number of intervals n, 1 <= n <= 10000. Each of the following n lines contains two integers a, b separated by a single space, 0 <= a < b <= 10000. They are the beginning and the end of an interval.
Output
Output the minimal number of elements in a set containing at least two different integers from each interval.
Sample Input
43 62 40 24 7
Sample Output
4
找一个数组,使数组里至少有两个整数属于间隔,每个间隔里的两个数都在这个数组
分析:
贪心,先按照b从小到大排序,在将数组里的数跟后面的间隔前两个比较
代码:
#include<stdio.h>#include<algorithm>using namespace std;struct node{int x;int y;}b[100001];bool cmp(node a,node b){return a.y<b.y;}int main(){int n,j,i,m[10001];scanf("%d",&n);for(i=0;i<n;i++)scanf("%d%d",&b[i].x,&b[i].y);sort(b,b+n,cmp);m[0]=b[0].y-1;m[1]=b[0].y;j=0;for(i=1;i<n;i++){ if(b[i].x<=m[j]&&m[j+1]<=b[i].y) {continue; } if(m[j+1]>=b[i].x&&m[j]<b[i].x){ m[j+2]=b[i].y; j=j+1;} if(m[j+1]<b[i].x){ m[j+2]=b[i].y-1; m[j+3]=b[i].y; j=j+2;}}printf("%d\n",j+2);}感受:
挺简单的,就是题意一开始没有读懂。。。。
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