1016 Phone Bills (25 分)

本文详细解析了一种基于时间的电话计费系统,通过输入电话记录和费率结构,实现自动计算每位客户的月度电话费用。文章包括了输入输出规格、样例及解析,并提供了完整的代码实现,展示了如何处理无序的电话记录,进行客户和时间的双重排序,以及精确计算跨时段和跨天的电话费用。

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A long-distance telephone company charges its customers by the following rules:

Making a long-distance call costs a certain amount per minute, depending on the time of day when the call is made. When a customer starts connecting a long-distance call, the time will be recorded, and so will be the time when the customer hangs up the phone. Every calendar month, a bill is sent to the customer for each minute called (at a rate determined by the time of day). Your job is to prepare the bills for each month, given a set of phone call records.

Input Specification:

Each input file contains one test case. Each case has two parts: the rate structure, and the phone call records.

The rate structure consists of a line with 24 non-negative integers denoting the toll (cents/minute) from 00:00 - 01:00, the toll from 01:00 - 02:00, and so on for each hour in the day.

The next line contains a positive number N (≤1000), followed by N lines of records. Each phone call record consists of the name of the customer (string of up to 20 characters without space), the time and date (mm:dd:hh:mm), and the word on-line or off-line.

For each test case, all dates will be within a single month. Each on-line record is paired with the chronologically next record for the same customer provided it is an off-line record. Any on-line records that are not paired with an off-line record are ignored, as are off-line records not paired with an on-linerecord. It is guaranteed that at least one call is well paired in the input. You may assume that no two records for the same customer have the same time. Times are recorded using a 24-hour clock.

Output Specification:

For each test case, you must print a phone bill for each customer.

Bills must be printed in alphabetical order of customers' names. For each customer, first print in a line the name of the customer and the month of the bill in the format shown by the sample. Then for each time period of a call, print in one line the beginning and ending time and date (dd:hh:mm), the lasting time (in minute) and the charge of the call. The calls must be listed in chronological order. Finally, print the total charge for the month in the format shown by the sample.

Sample Input:

10 10 10 10 10 10 20 20 20 15 15 15 15 15 15 15 20 30 20 15 15 10 10 10
10
CYLL 01:01:06:01 on-line
CYLL 01:28:16:05 off-line
CYJJ 01:01:07:00 off-line
CYLL 01:01:08:03 off-line
CYJJ 01:01:05:59 on-line
aaa 01:01:01:03 on-line
aaa 01:02:00:01 on-line
CYLL 01:28:15:41 on-line
aaa 01:05:02:24 on-line
aaa 01:04:23:59 off-line

Sample Output:

CYJJ 01
01:05:59 01:07:00 61 $12.10
Total amount: $12.10
CYLL 01
01:06:01 01:08:03 122 $24.40
28:15:41 28:16:05 24 $3.85
Total amount: $28.25
aaa 01
02:00:01 04:23:59 4318 $638.80
Total amount: $638.80

分析:
1.首先,输入是无序的,且未必都是有效信息,要做匹配和筛选,两级排序,按name再按时间,排完筛除无效records;

2.金额的计算,每个小时的价格不一样,直接存入数组,将输入的小时数作为下标索引找到对应时间的对应金额,用off的总金额减去on的总金额,计算差值,将day纳入计算可以解决跨天的问题;

柳婼的代码:原博链接https://www.liuchuo.net/archives/2350

#include <iostream>
#include <map>
#include <vector>
#include <algorithm>
using namespace std;
struct node {
    string name;
    int status, month, time, day, hour, minute;
};
bool cmp(node a, node b) {
    return a.name != b.name ? a.name < b.name : a.time < b.time;
}
double billFromZero(node call, int *rate) {
    double total = rate[call.hour] * call.minute + rate[24] * 60 * call.day;
    for (int i = 0; i < call.hour; i++)
        total += rate[i] * 60;
    return total / 100.0;
}
int main() {
    int rate[25] = {0}, n;
    for (int i = 0; i < 24; i++) {
        scanf("%d", &rate[i]);
        rate[24] += rate[i];
    }
    scanf("%d", &n);
    vector<node> data(n);
    for (int i = 0; i < n; i++) {
        cin >> data[i].name;
        scanf("%d:%d:%d:%d", &data[i].month, &data[i].day, &data[i].hour, &data[i].minute);
        string temp;
        cin >> temp;
        data[i].status = (temp == "on-line") ? 1 : 0;
        data[i].time = data[i].day * 24 * 60 + data[i].hour * 60 + data[i].minute;
    }
    sort(data.begin(), data.end(), cmp);
    map<string, vector<node> > custom;
    for (int i = 1; i < n; i++) {
        if (data[i].name == data[i - 1].name && data[i - 1].status == 1 && data[i].status == 0) {
            custom[data[i - 1].name].push_back(data[i - 1]);
            custom[data[i].name].push_back(data[i]);
        }
    }
    for (auto it : custom) {
        vector<node> temp = it.second;
        cout << it.first;
        printf(" %02d\n", temp[0].month);
        double total = 0.0;
        for (int i = 1; i < temp.size(); i += 2) {
            double t = billFromZero(temp[i], rate) - billFromZero(temp[i - 1], rate);
            printf("%02d:%02d:%02d %02d:%02d:%02d %d $%.2f\n", temp[i - 1].day, temp[i - 1].hour, temp[i - 1].minute, temp[i].day, temp[i].hour, temp[i].minute, temp[i].time - temp[i - 1].time, t);
            total += t;
        }
        printf("Total amount: $%.2f\n", total);
    }
    return 0;
}

 

要对每月的话费金额进行析并绘制图形展示,我们可以使用Python的数据析库pandas和数据可视化库matplotlib。首先,假设你有一个包含每个月话费数据的CSV文件或列表,数据结构可能是这样的: ```python data = { 'Month': ['Jan', 'Feb', 'Mar', ..., 'Nov', 'Dec'], # 月份 'Phone_Fees': [50, 75, 100, ..., 80, 95] # 每月话费 } ``` 以下是一步步操作的示例: 1. **导入必要的库**: ```python import pandas as pd import matplotlib.pyplot as plt ``` 2. **加载数据** (这里假设已经读取了CSV文件): ```python df = pd.read_csv('monthly_phone_bill.csv') # 替换为你的文件路径 ``` 3. **检查数据**: ```python print(df.head()) # 查看前几行数据 ``` 4. **描述性统计析**: ```python summary_stats = df['Phone_Fees'].describe() # 计算费用布的统计数据(如平均值、标准差等) print(summary_stats) ``` 5. **绘制直方图**: ```python plt.figure(figsize=(10, 6)) # 设置图表大小 plt.hist(df['Phone_Fees'], bins=range(0, max(df['Phone_Fees']) + 50, 50), # 布区间范围和间距 alpha=0.5, # 阴影效果 edgecolor='black', # 边框颜色 label='Monthly Phone Fees') plt.title('Distribution of Monthly Phone Bills') plt.xlabel('Amount') plt.ylabel('Frequency') plt.legend() plt.show() ``` 6. **绘制箱线图**: ```python plt.boxplot(df['Phone_Fees'], vert=False, labels=df['Month']) plt.title('Box plot of Monthly Phone Bills') plt.yticks(range(1, len(df['Month']) + 1), df['Month']) plt.grid(axis='x') plt.show() ``` 这将生成一个显示话费布的图形,你可以根据实际需求选择合适的图表类型。如果你的数据不在CSV文件中,也可以直接使用pandas DataFrame的方式处理。
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