poj 4002 Alice's mooncake shop

题目链接：http://poj.org/problem?id=4002

Alice's mooncake shop

Time Limit: 1000MS Memory Limit: 65536KTotal Submissions: 525 Accepted: 162

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 10Jan 1 2000 9 105 220 20 20 10 1087 9 5 100 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

Fuzhou 2011

[Submit]   [Go Back]   [Status]   [Discuss]

Home Page   Go Back  To top

可以证明出每个订单都是在一个点，完成的，采用贪心算法，并使用单调队列可解。

#include<iostream>#include<cstdio>#include<cstring>#include<cmath>#include<algorithm>#include<string>#include<bitset>#include<vector>#include<queue>#include<stack>#include<set>#include<map>#include<cstdlib>using namespace std;#define CLR(A) memset(A,0,sizeof(A))struct Node{    int time,num;}cur[2504];struct DEQ{    int pos,v;}que[2504];char month[13][5] = { "", "Jan", "Feb", "Mar", "Apr", "May", "Jun", "Jul", "Aug", "Sep", "Oct", "Nov" ,"Dec"};int day[2][13] = { { 0, 31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31 }, { 0, 31, 29, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31 } };inline int find(char *s){for(int i=1;i<=12;i++) if(strcmp(s,month[i])==0) return i;}inline int judge(int x){return x%400==0||x%4==0&&x%100;}inline int solve(int x,int y,int z,int w){bool p;int ret=0;for(int i=2000;i<x;i++){p=judge(i);ret+=365*24;if(p) ret+=24;}p=judge(x);for(int i=1;i<y;i++) ret+=day[p][i]*24;ret+=(z-1)*24+w;return ret;}int main(){    int n,m,t,s;    while(~scanf("%d%d",&n,&m)){        if(n==0&&m==0) break;        char mon[20];        int x,y,z,w;        for(int i=0;i<n;i++){            scanf("%s%d%d%d%d",mon,&z,&x,&w,&cur[i].num);            cur[i].time=solve(x,find(mon),z,w);        }        scanf("%d%d",&t,&s);        __int64 ans=0;        int head=0,tail=-1,k=0;        for(int i=0;i<m;i++){            int x;scanf("%d",&x);            while(head<=tail&&que[tail].v+(i-que[tail].pos)*s>=x) tail--;            que[++tail].pos=i;que[tail].v=x;            while(k<n&&cur[k].time==i){                while(head<=tail&&i-que[head].pos>t) head++;                ans+=(que[head].v+(i-que[head].pos)*s)*cur[k++].num;            }        }        cout<<ans<<endl;    }    return 0;}