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  • POJ 3614

    题目链接:http://poj.org/problem?id=3614

    Time Limit: 1000MS Memory Limit: 65536K

    Description

    To avoid unsightly burns while tanning, each of the C (1 ≤ C ≤ 2500) cows must cover her hide with sunscreen when they're at the beach. Cow i has a minimum and maximum SPF rating (1 ≤ minSPFi ≤ 1,000; minSPFi ≤ maxSPFi ≤ 1,000) that will work. If the SPF rating is too low, the cow suffers sunburn; if the SPF rating is too high, the cow doesn't tan at all........

    The cows have a picnic basket with L (1 ≤ L ≤ 2500) bottles of sunscreen lotion, each bottle i with an SPF rating SPFi (1 ≤ SPFi ≤ 1,000). Lotion bottle i can cover coveri cows with lotion. A cow may lotion from only one bottle.

    What is the maximum number of cows that can protect themselves while tanning given the available lotions?

    Input

    * Line 1: Two space-separated integers: C and L
    * Lines 2..C+1: Line i describes cow i's lotion requires with two integers: minSPFi and maxSPFi 
    * Lines C+2..C+L+1: Line i+C+1 describes a sunscreen lotion bottle i with space-separated integers: SPFi and coveri

    Output

    A single line with an integer that is the maximum number of cows that can be protected while tanning

    Sample Input

    3 2
    3 10
    2 5
    1 5
    6 2
    4 1

    Sample Output

    2

    把牛按minSPF从小到大排序一下,防晒霜按SPF排序一下。

    然后遍历防晒霜lontion[1...L],对于lotion[i],把所有满足minSPF小于等于lontion[i].SPF的牛都找出来,入队。

    我们将这个队列定义为按cow[i].maxSPF的从小到大排序的优先队列,那么,每次取出的队首,都是当前要求最苛刻(SPF要求范围最小的)那头牛,先满足这些牛,如果当前这 种防晒霜能满足这头牛,就用掉一瓶,否则就放弃这头牛。

    反复如此,直到所有防晒霜用完。

     1 #include<cstdio>
     2 #include<algorithm>
     3 #include<queue>
     4 using namespace std;
     5 struct Cows{
     6     int minSPF,maxSPF;
     7     bool operator<(const Cows &oth)const
     8     {
     9         return maxSPF>oth.maxSPF;
    10     }
    11 }cow[2505];
    12 struct Lotions{
    13     int SPF,cover;
    14 }lotion[2505];
    15 bool cmp1(Lotions a,Lotions b) {return a.SPF<b.SPF;}
    16 bool cmp2(Cows a,Cows b) {return a.minSPF<b.minSPF;}
    17 int main()
    18 {
    19     int C,L;
    20     priority_queue<Cows> q;
    21     scanf("%d%d",&C,&L);
    22     for(int i=1;i<=C;i++) scanf("%d%d",&cow[i].minSPF,&cow[i].maxSPF);
    23     for(int i=1;i<=L;i++) scanf("%d%d",&lotion[i].SPF,&lotion[i].cover);
    24     sort(lotion+1,lotion+L+1,cmp1);
    25     sort(cow+1,cow+C+1,cmp2);
    26     int now=1,ans=0;
    27     for(int i=1;i<=L;i++)
    28     {
    29         while(now <= C && cow[now].minSPF <= lotion[i].SPF)//由于事先排过序,所以当前这头一旦不满足cow[now].minSPF <= lotion[i].SPF,之后的牛都不满足 
    30         {
    31             q.push(cow[now]);
    32             now++;
    33         }
    34         while(!q.empty() && lotion[i].cover>0)//要么是当前这种防晒霜很多,把所有牛都涂了;要么就是当前这种防晒霜用完了
    35         {
    36             if(q.top().maxSPF >= lotion[i].SPF)//这种防晒霜可以给这头牛涂
    37             {
    38                 ans++;//能涂的牛的数量增加1 
    39                 lotion[i].cover--;//当前这种防晒霜用去一瓶
    40             }
    41             q.pop();//涂的上就涂,涂不上就放弃
    42         }
    43     }
    44     printf("%d
    ",ans);
    45 } 



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  • 原文地址:https://www.cnblogs.com/dilthey/p/6804156.html
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