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ACM学习历程——POJ 2376 Cleaning Shifts（贪心）

2024-08-03 21:32:24   218人阅读

Description

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.
 
 
这个题目就是贪心，在开始时间能满足条件的情况下，让结束时间越晚就可以了。这样就需要对结构体进行排序，这里使用sort函数进行了排序。
 
 
代码：
#include <iostream>#include <cstdio>#include <cstdlib>#include <cstring>#include <cmath>#include <algorithm>#include <set>#include <map>#include <vector>#include <queue>#include <string>#define inf 0x3fffffff#define eps 1e-10using namespace std;struct node{    int Begin, End;}a[25005];bool cmp(node x, node y){    if (x.Begin != y.Begin)        return x.Begin < y.Begin;    else        return x.End > y.End;}int t, n;int qt(){    int ans = 0;    int now, p, k = 0, Max;    now = 1;    while (now <= t)    {        if (k == n)            return -1;        if (a[k].Begin > now)            return -1;        Max = a[k].End;        while (a[k].Begin <= now && k < n)        {            Max = max(Max, a[k].End);            k++;        }        now = Max + 1;        ans++;    }    return ans;}int main(){    //freopen("test.txt", "r", stdin);    while (scanf("%d%d", &n, &t) != EOF)    {        for (int i = 0; i < n; ++i)            scanf("%d%d", &a[i].Begin, &a[i].End);        sort(a, a+n, cmp);        printf("%d\n", qt());    }    return 0;}

 

ACM学习历程——POJ 2376 Cleaning Shifts（贪心）


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