question:I have a equation in the form y = f(x) = (e^(x - 1) - 1) / (e^(x - 1) + 1). I need to plot this function over a range of x values. I will use Python with matplotlib and numpy to do this. I can generate x values using numpy's linspace function, which gives me 50 numbers over a specified range. I will use these x values to calculate the corresponding y values using my function. Here's a sample code to generate the plot ```python import numpy as np import matplotlib.pyplot as plt def f(x): return (np.exp(x - 1) - 1) / (np.exp(x - 1) + 1) x = np.linspace(-10, 10, 50) y = f(x) plt.plot(x, y) plt.show() ``` This will generate the plot for the given function. However, I want to visually inspect the function behavior over different ranges. I want to plot the function over the following ranges: - (-10, 2) - (-5, 5) - (-1, 3) - (0, 4) - (-2, 2) - (-10, 10) I can repeat the code for each range, but I want a more efficient way to do this. How can I modify the existing code to generate plots for all the given ranges without repeating the code for each range?

question:# Solution Explanation Here's a concise explanation of the code: * The solution utilizes a priority queue data structure. * We initialize the priority queue with the initial temperatures and their indices. * Then we start a while loop that continues until the priority queue is empty. * Inside the loop, we pop the largest temperature (the top of the priority queue) and its index. * We then check all previous temperatures to see if they are lower than the current temperature. * If a previous temperature is lower, we calculate the number of days until it warms up and update the result list. ```python import heapq from typing import List def dailyTemperatures(temperatures: List[int]) -> List[int]: This function takes a list of temperatures as input and returns a list of the number of days until it warms up. :param temperatures: A list of temperatures :return: A list of the number of days until it warms up # Initialize the result list with zeros result = [0] * len(temperatures) # Initialize the priority queue with the initial temperatures and their indices pq = [] for i, temp in enumerate(temperatures): # Push the temperature and its index into the priority queue # We use a max heap, so we push the negative of the temperature # The index is also pushed to keep track of the position in the result list heapq.heappush(pq, (-temp, i)) # Start a while loop that continues until the priority queue is empty while pq: # Pop the largest temperature (the top of the priority queue) and its index temp, i = heapq.heappop(pq) # Check all previous temperatures to see if they are lower than the current temperature for j in range(i - 1, -1, -1): # If a previous temperature is lower, calculate the number of days until it warms up and update the result list if temperatures[j] < -temp: result[j] = i - j # If a previous temperature is not lower, we can break the loop because the list is sorted else: break return result ``` # Example Use Cases Here are some example use cases for the `dailyTemperatures` function: ```python # Example 1: # Input: temperatures = [73,74,75,71,69,72,76,73] # Output: [1, 1, 4, 2, 1, 1, 0, 0] print(dailyTemperatures([73,74,75,71,69,72,76,73])) # Example 2: # Input: temperatures = [10,20,30,40,50,60] # Output: [1, 1, 1, 1, 1, 0] print(dailyTemperatures([10,20,30,40,50,60])) # Example 3: # Input: temperatures = [60,50,40,30,20,10] # Output: [0, 0, 0, 0, 0, 0] print(dailyTemperatures([60,50,40,30,20,10])) ``` What would be a more efficient solution to find the number of days until it warms up?

question:Here is the problem: Find the length of the longest common prefix of the given array of strings `strs`. Example 1: Input: strs = ["flower","flow","flight"] Output: "fl" Example 2: Input: strs = ["dog","racecar","car"] Output: "" Example 3: Input: strs = ["ab", "abc", "abcd"] Output: "ab" Constraints: * 1 <= strs.length <= 200 * 0 <= strs[i].length <= 100 * strs[i] consists of lowercase English letters. Here is my solution: ```python def longest_common_prefix(strs): if not strs: return "" shortest_str = min(strs, key=len) for i, char in enumerate(shortest_str): for string in strs: if string[i] != char: return shortest_str[:i] return shortest_str

question:You've been asked to create a function `prepare_for_review` which takes in a list of employee objects. Each employee object has the following attributes: `name`, `email`, `performance_rating` (a float representing the performance rating of the employee on a scale of 1 to 5), and `is_manager` (a boolean indicating whether the employee is a manager). The function should return the list of employees sorted by `performance_rating` in descending order. If two employees have the same `performance_rating`, they should be sorted by `name` in ascending order.