贪心之To Fill or Not to Fill

时间: 1ms        内存:64M

描述:

With highways available, driving a car from Hangzhou to any other city is easy. But since the tank capacity of a car is limited, we have to find gas stations on the way from time to time. Different gas station may give different price. You are asked to carefully design the cheapest route to go.

输入:

For each case, the first line contains 4 positive numbers: Cmax (<= 100), the maximum capacity of the tank; D (<=30000), the distance between Hangzhou and the destination city; Davg (<=20), the average distance per unit gas that the car can run; and N (<= 500), the total number of gas stations. Then N lines follow, each contains a pair of non-negative numbers: Pi, the unit gas price, and Di (<=D), the distance between this station and Hangzhou, for i=1,…N. All the numbers in a line are separated by a space.

输出:

For each test case, print the cheapest price in a line, accurate up to 2 decimal places. It is assumed that the tank is empty at the beginning. If it is impossible to reach the destination, print “The maximum travel distance = X” where X is the maximum possible distance the car can run, accurate up to 2 decimal places.

示例输入:

50 1300 12 8
6.00 1250
7.00 600
7.00 150
7.10 0
7.20 200
7.50 400
7.30 1000
6.85 300
50 1300 12 2
7.10 0
7.00 600

示例输出:

749.17
The maximum travel distance = 1200.00

提示:

参考答案(内存最优[1092]):

#include <stdio.h>  
#include <stdlib.h>  
#include <math.h>  
   
#define MAXN 501  
#define MAXC 30000000.0  
   
typedef struct station{  
    float price;  
    int dist;  
}Station;  
   
int compare(const void * p, const void * q){  
    Station * p1 = (Station *)p;  
    Station * q1 = (Station *)q;  
    return p1->dist - q1->dist;  
}  
   
int main(void){  
    int Cmax, D, Davg, N;  //容量、距离、每单位气行驶的距离、加气站总数  
    int i;  
    Station sta[MAXN];  
    float sum, remind_gas, tmp;  
    int k, step;  
   
    while (scanf("%d %d %d %d", &Cmax, &D, &Davg, &N) != EOF){  
        for (i=0; i<N; ++i){  
            scanf("%f %d", &sta[i].price, &sta[i].dist);  
        }  
        sta[N].dist = D;  
        sta[N].price = 1000000.0;  
        qsort(sta, N, sizeof(Station), compare);  //按与杭州距离大小给加气站排序  
        if (sta[0].dist > 0){  
            printf ("The maximum travel distance = 0.00\n");  
            continue;  
        }  
        sum = 0;             //总费用  
        step = Cmax*Davg;    //加满油行驶最大距离  
        remind_gas = 0;      //剩余油量  
        for (i=0; i<N; ++i){  
            k = i+1;  
            if (i != 0)  
                remind_gas -= ((float)(sta[i].dist -sta[i-1].dist))/Davg;  
            for (; k<N && sta[k].price>=sta[i].price; ++k)  
                continue;  
            if (sta[k].dist-sta[i].dist > step){  
                sum += (Cmax-remind_gas)*sta[i].price;  
                remind_gas = Cmax;  
            }  
            else{  
                tmp = ((float)(sta[k].dist-sta[i].dist))/Davg - remind_gas;  
                if (fabs(tmp)>1e-5 && tmp>0){  
                    sum += tmp*sta[i].price;  
                    remind_gas = ((float)(sta[k].dist-sta[i].dist))/Davg;  
                }  
            }  
            if (sta[i+1].dist - sta[i].dist > step){  
                printf ("The maximum travel distance = %.2f\n", (float)(sta[i].dist+step));  
                break;  
            }  
        }  
        if (i == N){  
            printf ("%.2f\n", sum);  
        }  
    }  
   
    return 0;  
}  

参考答案(时间最优[0]):

#include <iostream>
#include <stdio.h>
#include <algorithm>
#include <math.h>
#include <stdlib.h>

using namespace std;

struct gas_station{
    float price;
    int distance;

    bool operator < (const gas_station & A)const {
        return distance < A.distance;
    }

}buff[501];
int main()
{
    int Cmax,D,Davg,N;
    int dis;
    while(scanf("%d %d %d %d",&Cmax,&D,&Davg,&N)!=EOF){
        for(int i = 0; i < N; i++){
            scanf("%f %d",&buff[i].price,&buff[i].distance);
        }
        buff[N].distance = D;
        buff[N].price = 100000000;

        sort(buff,buff+N);

        if(buff[0].distance > 0){
            printf("The maximum travel distance = 0.00\n");
            continue;
        }

        dis = Cmax * Davg;//最大单次行车距离
        float sum = 0;//总费用
        float temp,remind_gas = 0;//剩余汽油量
        int i ,k;
        for(i = 0; i < N;i++){
            k = i+1;
            if(i != 0){
                remind_gas -= (float)(buff[i].distance-buff[i-1].distance)/Davg;
            }
            //找到当前站之后第一个价格比它低的加油站
            for(;k < N && buff[i].price <= buff[k].price;k++ )
                continue;
            if(buff[k].distance - buff[i].distance > dis){
                sum += (Cmax-remind_gas)*buff[i].price;
                remind_gas = Cmax;
            }else{
                temp = (float)(buff[k].distance-buff[i].distance)/Davg - remind_gas;
                if(fabs(temp)>1e-5&&temp >0){
                    sum += temp*buff[i].price;
                    remind_gas = (float)(buff[k].distance-buff[i].distance)/Davg;
                }
            }


            if(buff[i+1].distance - buff[i].distance>dis){
                double total_d = (double)(buff[i].distance + dis);
                printf("The maximum travel distance = %.2f\n",total_d);
                break;
            }
        }
        if(i==N){
            printf ("%.2f\n", sum);
        }


    }
    return 0;
}

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