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  • poj 3614 Sunscreen

                                                                                                        Sunscreen
    Time Limit: 1000MS   Memory Limit: 65536K
    Total Submissions: 7450   Accepted: 2627

    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

    题意:有C头牛晒太阳,每头牛都有相应的SPF范围,在范围内可以让牛享受太阳,有L瓶防晒霜,每瓶防晒霜都有各自的SPF值,SPF值在某头牛的SPF范围内的防晒霜如果涂在该牛上,可以让该牛享受太阳,问有多少头牛可以享受太阳。
    思路:贪心,对于每一种防晒霜,在符合条件的范围内(防晒霜的SPF值大于牛的min_SPF),每次都筛选出一群牛,将这群牛的max_SPF值压入最小堆,之后尽量用SPF值较小的防晒霜涂于max_SPF较小的牛上。
    #define _CRT_SECURE_NO_DEPRECATE
    #include<iostream>
    #include<queue>
    #include<algorithm>
    #include<functional>//greater
    using namespace std;
    const int N_MAX = 2500;
    struct cows {
        int low;
        int high;
        bool operator <(const cows&b)const{
            return low<b.low||(low==b.low&&high<b.high);
        }
    };
    struct  lotion {
        int spf;
        int num;
        bool operator <(const lotion&b)const {
            return spf <b.spf ;
        }
    };
    priority_queue<int,vector<int>,greater<int>>que;//小元素在上
    cows cow[N_MAX];
    lotion lo[N_MAX];
    int main() {
        int C, L;
        scanf("%d%d",&C,&L);
            for (int i = 0;i < C;i++)
                scanf("%d%d", &cow[i].low, &cow[i].high);
            for (int i = 0;i < L;i++) 
                scanf("%d%d", &lo[i].spf, &lo[i].num);
            sort(cow, cow + C);//按牛的spf最小值从小到大排序
            sort(lo, lo + L);//按护肤品的spf值从小到大排
            int result=0,cur=0;
            for (int i = 0;i < L;i++) {//对于每一种护肤品进行考虑
                while (cur<C&&lo[i].spf>=cow[cur].low) {//挑选出满足条件的牛的high值进堆
                    que.push(cow[cur].high);//进堆后小的high值在上面
                    cur++;
                }
                while (que.size() && lo[i].num) {//如果这种护肤品对所有挑选出来的牛都不满足条件,那么只能弃用,因为后面的牛的min值都比护肤品的spf大
                    int k = que.top();que.pop();
                    if (k >= lo[i].spf) {//high值小于护肤品的spf值的牛只能不涂,后面的护肤品spf值越来越大更不满足
                        result++;
                        lo[i].num--;
                    }
                }
            }
            printf("%d
    ",result);
            return 0;
        
    }
    
    
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  • 原文地址:https://www.cnblogs.com/ZefengYao/p/5893893.html
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