HDU - 4122 Alice's mooncake shop 单调队列

Alice's mooncake shop

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 4606    Accepted Submission(s): 1226

 

Problem Description

The Mid-Autumn Festival, also known as the Moon Festival or Zhongqiu Festival is a popular harvest festival celebrated by Chinese people, dating back over 3,000 years to moon worship in China's Shang Dynasty. The Zhongqiu Festival is held on the 15th day of the eighth month in the Chinese calendar, which is in September or early October in the Gregorian calendar. It is a date that parallels the autumnal equinox of the solar calendar, when the moon is at its fullest and roundest. 

The traditional food of this festival is the mooncake. Chinese family members and friends will gather to admire the bright mid-autumn harvest moon, and eat mooncakes under the moon together. In Chinese, “round”(圆) also means something like “faultless” or “reuion”, so the roundest moon, and the round mooncakes make the Zhongqiu Festival a day of family reunion.

Alice has opened up a 24-hour mooncake shop. She always gets a lot of orders. Only when the time is K o’clock sharp( K = 0,1,2 …. 23) she can make mooncakes, and We assume that making cakes takes no time. Due to the fluctuation of the price of the ingredients, the cost of a mooncake varies from hour to hour. She can make mooncakes when the order comes,or she can make mooncakes earlier than needed and store them in a fridge. The cost to store a mooncake for an hour is S and the storage life of a mooncake is T hours. She now asks you for help to work out a plan to minimize the cost to fulfill the orders.

 

 

Input

The input contains no more than 10 test cases. 
For each test case:
The first line includes two integers N and M. N is the total number of orders. M is the number of hours the shop opens. 
The next N lines describe all the orders. Each line is in the following format:

month date year H R

It means that on a certain date, a customer orders R mooncakes at H o’clock. “month” is in the format of abbreviation, so it could be "Jan", "Feb", "Mar", "Apr", "May", "Jun", "Jul", "Aug", "Sep", "Oct", "Nov" or "Dec". H and R are all integers. 
All the orders are sorted by the time in increasing order. 
The next line contains T and S meaning that the storage life of a mooncake is T hours and the cost to store a mooncake for an hour is S.
Finally, M lines follow. Among those M lines, the ith line( i starts from 1) contains a integer indicating the cost to make a mooncake during the ith hour . The cost is no more than 10000. Jan 1st 2000 0 o'clock belongs to the 1st hour, Jan 1st 2000 1 o'clock belongs to the 2nd hour, …… and so on.

(0<N <= 2500; 0 < M,T <=100000; 0<=S <= 200; R<=10000 ; 0<=H<24)

The input ends with N = 0 and M = 0.

 

 

Output

You should output one line for each test case: the minimum cost. 

 

 

Sample Input

1 10

Jan 1 2000 9 10

5 2

20 20 20 10 10 8 7 9 5 10

0 0

 

 

Sample Output

70

Hint

“Jan 1 2000 9 10” means in Jan 1st 2000 at 9 o'clock , there's a consumer ordering 10 mooncakes. Maybe you should use 64-bit signed integers. The answer will fit into a 64-bit signed integer.

 

 

Source

2011 Asia Fuzhou Regional Contest

 

 

Recommend

lcy

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题解

给出每个时刻制作月饼的花费,给出许多请求,请求是被认为某时刻需要提供多少月饼,而月饼拥有保质期,和保存一小时的花费.

现在要求满足全部请求的总花费最小。

对于某个时刻的请求来说 mincost = {cost[i] + (h-i)*s | h-t<=i<=h} h是请求需要提交的时刻,T是保质期(可以提前多久做)

很显然的单调队列用法

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代码

/*
    给出每个时刻制作月饼的花费,给出许多请求,请求是被认为某时刻需要提供多少月饼,而月饼拥有保质期,和保存一小时的花费.
    现在要求满足全部请求的总花费最小。
    对于某个时刻的请求来说 mincost = {cost[i] + (h-i)*s | h-t<=i<=h} h是请求需要提交的时刻,T是保质期(可以提前多久做)
*/
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
const int maxn = 1e5+10;
int n,m,day,year,H,R,S,T,order[maxn];
char mouth[10];
map<string,int> ma;
deque<pair<int,int> > qu;
int f[13] = {0,31,28,31,30,31,30,31,31,30,31,30,31};
void init() {
    ma["Jan"] = 1;ma["Feb"] = 2;ma["Mar"] = 3;ma["Apr"] = 4;
    ma["May"] = 5;ma["Jun"] = 6;ma["Jul"] = 7;ma["Aug"] = 8;
    ma["Sep"] = 9;ma["Oct"] = 10;ma["Nov"] = 11;ma["Dec"] = 12;
    
}
inline bool run(int x) {
    return (x % 4 == 0 && x % 100 !=0) || (x % 400 == 0);
}
inline int gethour() {
    int ans = 0;
    ans += H;
    ans += (day-1)*24;
    int mou = ma[mouth];
    for(int i=1;i<mou;i++) {
        if(i == 2 && run(year)) 
            ans += 29 * 24;
        else ans += f[i]*24;
    }
    for(int i=2000;i<year;i++) {
        if(run(i)) ans += 366 * 24;
        else ans += 365 * 24;
    }
    //printf("%d\n",ans);
    return ans;
}
int main() 
{
    init();
    while(~scanf("%d%d",&n,&m),n+m) {
        qu.clear();
        memset(order,0,sizeof(order));
        for(int i=1;i<=n;i++) {
            scanf("%s%d%d%d%d",mouth,&day,&year,&H,&R);
            order[gethour()] += R;
        }
        ll res = 0;
        scanf("%d%d",&T,&S);
        for(int i=0,x;i<m;i++) {
            scanf("%d",&x);
            while(!qu.empty() && qu.back().second + (i-qu.back().first)*S >= x) qu.pop_back();
            qu.push_back(make_pair(i,x));
            while(!qu.empty() && qu.front().first + T < i) qu.pop_front();
            if(order[i]) {
                res += order[i] * (qu.front().second + (i - qu.front().first)*S);
            }
        }
        printf("%lld\n",res);
    }
    return 0;
}