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question:You are given a DataFrame containing information about bike rentals in a city. The DataFrame includes columns for the rental start time, the rental end time, and the duration of the rental in minutes. Your task is to write a function that analyzes this data to provide insights into the rental duration trends based on different criteria. The function should: 1. Convert the 'start_time' and 'end_time' columns to datetime format using the `pandas.to_datetime` function. 2. Compute the average rental duration for each month. 3. Compute the average rental duration for each day of the week. 4. Print the average rental duration for the specified month and day of the week based on user input. 5. Print these statistics along with the rental data filtering information provided as input parameters. Write a function named `rental_duration_stats` with the following signature: ```python def rental_duration_stats(df: pd.DataFrame, month: str, day_of_week: str) -> None: ``` **Input:** - `df` (DataFrame): A pandas DataFrame with 'start_time', 'end_time', and 'duration_min' columns. - `month` (str): The month filter applied to the data, or 'all' to indicate no filter. - `day_of_week` (str): The day of the week filter applied to the data, or 'all' to indicate no filter. **Output:** - The function should print the computed average rental durations and the filtering information. **Example DataFrame:** ``` start_time end_time duration_min 0 2021-01-01 10:00:00 2021-01-01 10:30:00 30 1 2021-02-15 12:00:00 2021-02-15 12:45:00 45 2 2021-03-20 14:30:00 2021-03-20 14:50:00 20 ... ``` **Example Usage:** ```python import pandas as pd data = { 'start_time': ['2021-01-01 10:00:00', '2021-02-15 12:00:00', '2021-03-20 14:30:00'], 'end_time': ['2021-01-01 10:30:00', '2021-02-15 12:45:00', '2021-03-20 14:50:00'], 'duration_min': [30, 45, 20] } df = pd.DataFrame(data) rental_duration_stats(df, 'all', 'all') ```
answer:import pandas as pd def rental_duration_stats(df: pd.DataFrame, month: str, day_of_week: str) -> None: Computes and prints rental duration statistics based on the given DataFrame. Parameters: - df (pd.DataFrame): DataFrame containing 'start_time', 'end_time', and 'duration_min' columns. - month (str): The month filter for the data, or 'all' for no filter. - day_of_week (str): The day of the week filter for the data, or 'all' for no filter. # Convert 'start_time' and 'end_time' to datetime df['start_time'] = pd.to_datetime(df['start_time']) df['end_time'] = pd.to_datetime(df['end_time']) # Extract month and day of week from 'start_time' df['month'] = df['start_time'].dt.strftime('%B') df['day_of_week'] = df['start_time'].dt.strftime('%A') # Compute average rental duration for each month avg_duration_per_month = df.groupby('month')['duration_min'].mean() # Compute average rental duration for each day of the week avg_duration_per_day = df.groupby('day_of_week')['duration_min'].mean() # Filter the dataframe based on user input if month != 'all': df = df[df['month'] == month] if day_of_week != 'all': df = df[df['day_of_week'] == day_of_week] # Compute overall average after applying filters overall_avg_duration = df['duration_min'].mean() if not df.empty else 0 # Print the statistics print(f"Average rental duration for the specified month ({month}) and day of the week ({day_of_week}): {overall_avg_duration:.2f} minutes") print("Average rental duration per month:") print(avg_duration_per_month) print("Average rental duration per day of the week:") print(avg_duration_per_day)
question:You are required to implement a function that sorts an array of integers based on the frequency of values. More frequent numbers should appear earlier in the sorted array. If two values have the same frequency, they should appear in ascending numerical order. Here are the detailed requirements: 1. **Function Name**: `frequency_sort` 2. **Parameter**: - `arr`: A list of integers. 3. **Output**: - The function should return a list of integers sorted based on their frequency as described. **Instructions**: - Use the `collections.Counter` class to count the frequency of each integer in the input list. - Sort the array first by the frequency of the values in descending order, and then by the values themselves in ascending order. **Example**: Suppose `arr = [1, 1, 2, 2, 2, 3, 3, 4]`. Calling `frequency_sort(arr)` should return `[2, 2, 2, 1, 1, 3, 3, 4]`. Write the function `frequency_sort` to accomplish this task.
answer:from collections import Counter def frequency_sort(arr): Sorts an array of integers based on the frequency of values. More frequent numbers appear earlier. If frequencies are equal, the numbers appear in ascending order. # Count frequency of each number in the array frequency = Counter(arr) # Sort the array first by frequency (descending), then by the number (ascending) sorted_arr = sorted(arr, key=lambda x: (-frequency[x], x)) return sorted_arr
question:You are tasked to implement a function, `path_finder`, which determines the shortest path from a start node to a target node in an undirected graph using Dijkstra’s algorithm. This function will assist in navigating a route based on minimal travel cost in terms of distance between nodes. Function Specification **Function Name:** `path_finder` **Parameters:** - `graph` (dict): A dictionary representing the graph where keys are node identifiers (strings) and values are lists of tuples. Each tuple has a neighbor node and the distance to that neighbor (a positive integer). - `start` (str): The starting node identifier. - `target` (str): The target node identifier. **Returns:** - `path` (list): A list of node identifiers representing the shortest path from the start node to the target. If no path exists, return an empty list. - `total_distance` (int): The total distance of the shortest path. If no path exists, return -1. **Requirements:** - Validate the input graph to ensure all distances are positive. - Implement Dijkstra’s algorithm to find the shortest path. - Handle cases where the start or target node is not in the graph. **Steps:** 1. Validate the input parameters and raise appropriate exceptions for invalid values. 2. Initialize data structures for Dijkstra’s algorithm such as a priority queue (min-heap), distances dictionary, and path tracking. 3. Use the priority queue to explore nodes, updating the shortest known distances and paths. 4. Construct the shortest path and calculate the total distance. 5. Return the path and total distance. #
answer:import heapq def path_finder(graph, start, target): Finds the shortest path from start to target using Dijkstra's algorithm. :param graph: Dict representing the graph where keys are nodes and values are lists of tuples (neighbor, distance) :param start: Starting node identifier (str) :param target: Target node identifier (str) :return: Tuple containing a list of node identifiers for the shortest path and the total distance # Validate input graph for node, neighbors in graph.items(): for neighbor, distance in neighbors: if distance <= 0: raise ValueError("Graph cannot have non-positive distances.") if start not in graph: return [], -1 if target not in graph: return [], -1 # Initialize Dijkstra's algorithm data structures distance = {node: float('inf') for node in graph} previous = {node: None for node in graph} distance[start] = 0 priority_queue = [(0, start)] heapq.heapify(priority_queue) while priority_queue: current_dist, current_node = heapq.heappop(priority_queue) if current_node == target: break if current_dist > distance[current_node]: continue for neighbor, weight in graph[current_node]: new_dist = current_dist + weight if new_dist < distance[neighbor]: distance[neighbor] = new_dist previous[neighbor] = current_node heapq.heappush(priority_queue, (new_dist, neighbor)) # Reconstruct the path from start to target path = [] total_distance = distance[target] if total_distance == float('inf'): return [], -1 current = target while current: path.append(current) current = previous[current] path.reverse() return path, total_distance
question:You are provided with a skeleton of a program that helps manage employee records in a company. Each employee has a unique ID, name, and salary. The goal is to add functionality to calculate the average salary of all employees and to identify the employee with the highest salary. Your task is to write a function `calculate_statistics` that takes a list of employee records and returns a dictionary containing the `average_salary` and the `highest_salary_employee`. Each employee record is a dictionary with keys `id`, `name`, and `salary`. **Function Signature:** ```python def calculate_statistics(employees): pass ``` **Details:** 1. The function should accept a list of dictionaries, where each dictionary represents an employee record. 2. Calculate the average salary of all employees. 3. Identify the employee with the highest salary. 4. Return a dictionary with two entries: `average_salary` (rounded to 2 decimal places) and `highest_salary_employee` (the name of the employee with the highest salary). **Example Usage:** ```python employees = [ {"id": 1, "name": "Alice", "salary": 70000}, {"id": 2, "name": "Bob", "salary": 100000}, {"id": 3, "name": "Charlie", "salary": 60000}, ] result = calculate_statistics(employees) print(result) # Output: {"average_salary": 76666.67, "highest_salary_employee": "Bob"} ``` **Edge Cases:** - If the list of employees is empty, the function should return `{"average_salary": 0, "highest_salary_employee": None}`. - Ensure your solution handles cases where there are multiple employees with the highest salary appropriately.
answer:def calculate_statistics(employees): if not employees: return {"average_salary": 0, "highest_salary_employee": None} total_salary = sum(employee['salary'] for employee in employees) average_salary = round(total_salary / len(employees), 2) highest_salary_employee = max(employees, key=lambda x: x['salary'])['name'] return {"average_salary": average_salary, "highest_salary_employee": highest_salary_employee}