• BZOJ 1620: [Usaco2008 Nov]Time Management 时间管理


    Description

    Ever the maturing businessman, Farmer John realizes that he must manage his time effectively. He has N jobs conveniently numbered 1..N (1 <= N <= 1,000) to accomplish (like milking the cows, cleaning the barn, mending the fences, and so on). To manage his time effectively, he has created a list of the jobs that must be finished. Job i requires a certain amount of time T_i (1 <= T_i <= 1,000) to complete and furthermore must be finished by time S_i (1 <= S_i <= 1,000,000). Farmer John starts his day at time t=0 and can only work on one job at a time until it is finished. Even a maturing businessman likes to sleep late; help Farmer John determine the latest he can start working and still finish all the jobs on time.

    N个工作,每个工作其所需时间,及完成的Deadline,问要完成所有工作,最迟要什么时候开始.

    Input

    * Line 1: A single integer: N

    * Lines 2..N+1: Line i+1 contains two space-separated integers: T_i and S_i

    Output

    * Line 1: The latest time Farmer John can start working or -1 if Farmer John cannot finish all the jobs on time.

    题解:

    开始时间有单调性,如果从时间t开始能完成,那么从时间t’<t都能完成。

    所以我们可以二分一个t。

    在t确定后根据贪心每次做Deadline最靠前的任务,模拟一下。

    注意无解输出-1。囧

    end.

    代码:

    #include<cstdio>
    #include<cstring>
    #include<algorithm>
    #include<queue>
    //by zrt
    //problem:
    using namespace std;
    int n;
    struct N{
        int t,s;
        friend bool operator < (N a,N b){
            return a.s<b.s;
        }
    }a[1005];
    int minn=1<<30;
    bool judge(int start){
        int t=start;
        for(int i=1;i<=n;i++){
            if(t+a[i].t>a[i].s) return 0;
            else t+=a[i].t;
        }
        return 1;
    }
    int main(){
        #ifdef LOCAL
        freopen("in.txt","r",stdin);
        freopen("out.txt","w",stdout);
        #endif
        scanf("%d",&n);
        for(int i=1;i<=n;i++){
            scanf("%d%d",&a[i].t,&a[i].s);
            minn=min(minn,a[i].s);
        }
        sort(a+1,a+n+1);
        int l=0,r=minn;
        if(!judge(0)){
            puts("-1");
            goto ed;
        }
        while(r-l>1){
            int m=(l+r)>>1;
            if(judge(m)){
                l=m;
            }else r=m;
        }
        printf("%d
    ",l);
        ed:;return 0;
    }
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  • 原文地址:https://www.cnblogs.com/zrts/p/bzoj1620.html
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