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question:Write a program that generates a multiplication table of size N x N. Each entry in the table should be a product of the respective row and column indices, starting from 1. Constraints * 1 ≤ N ≤ 20 Input The input consists of a single integer N. Output Print the N x N multiplication table. Each number in the table should be separated by a single space. Ensure that each row is printed on a new line. Example Input 4 Output 1 2 3 4 2 4 6 8 3 6 9 12 4 8 12 16 Input 2 Output 1 2 2 4
answer:def multiplication_table(N): Generates and prints an N x N multiplication table. Parameters: N (int): The size of the multiplication table. Returns: None table = [] for i in range(1, N + 1): row = [] for j in range(1, N + 1): row.append(i * j) table.append(row) for row in table: print(' '.join(map(str, row)))
question:You are given an integer array of size N. Your task is to find the length of the shortest subarray, that when sorted, would result in the entire array being sorted. If the array is already sorted, the length of the shortest subarray should be 0. For example, consider the array `[1, 2, 5, 3, 4, 6, 7]`. Sorting the subarray `[5, 3, 4]` would result in the entire array being sorted. Thus, the length of the shortest subarray is 3. Write a function `shortest_subarray_length(arr: List[int]) -> int` that takes the array as input and returns the length of the shortest subarray which, when sorted, will result in the entire array being sorted. Input - The function will take an integer array of size N (1 ≤ N ≤ 10^5), where each element of the array is within the range of 1 to 10^6. Output - Return an integer representing the length of the shortest subarray that needs to be sorted. Example: Input: ``` [1, 3, 2, 4, 5] ``` Output: ``` 2 ``` Input: ``` [1, 2, 3, 4, 5] ``` Output: ``` 0 ```
answer:from typing import List def shortest_subarray_length(arr: List[int]) -> int: Returns the length of the shortest subarray which, when sorted, results in the entire array being sorted. n = len(arr) if n <= 1: return 0 # Find the first element which is not in sorted order from the left left = 0 while left < n - 1 and arr[left] <= arr[left + 1]: left += 1 # If the array is already sorted if left == n - 1: return 0 # Find the first element which is not in sorted order from the right right = n - 1 while right > 0 and arr[right] >= arr[right - 1]: right -= 1 # Find min and max in the subarray arr[left:right+1] subarray_min = min(arr[left:right + 1]) subarray_max = max(arr[left:right + 1]) # Extend the left boundary to the left as needed while left > 0 and arr[left - 1] > subarray_min: left -= 1 # Extend the right boundary to the right as needed while right < n - 1 and arr[right + 1] < subarray_max: right += 1 return right - left + 1
question:A renowned artist wants to create a large mosaic and plans to use square tiles of different colors. Each tile is uniquely identified by its color code, which is a positive integer. To ensure the final design is aesthetically appealing, the artist wants to place one tile on each part of a grid with an equal number of rows and columns. The artist wants to know the maximum color code used in each row and column to verify the richness of colors in the design. Can you help the artist by writing a program that finds the maximum color code in each row and each column of the grid? ------ Input ------ The first line of input contains a single integer N (1 <= N <= 100), the size of the NxN grid. The following N lines each contain N integers, representing the color codes of the tiles in that row. ------ Output ------ Output consists of two lines: - The first line contains N integers, where the i-th integer represents the maximum color code in the i-th row. - The second line contains N integers, where the j-th integer represents the maximum color code in the j-th column. ----- Sample Input 1 ------ 3 5 1 2 3 9 4 7 6 8 ----- Sample Output 1 ------ 5 9 8 7 9 8
answer:def max_color_codes(grid): Finds the maximum color code in each row and each column of an NxN grid. Parameters: - grid (list of list of int): NxN grid of color codes Returns: - tuple of two lists: - List containing maximum color code for each row - List containing maximum color code for each column n = len(grid) max_rows = [max(row) for row in grid] max_cols = [max(grid[i][j] for i in range(n)) for j in range(n)] return max_rows, max_cols
question:Alanda recently got interested in marine biology. She is particularly fascinated by a unique species of fish known as "Zigzagger" which, as the name suggests, have a very peculiar zigzag pattern of movement in the ocean. The Zigzagger’s movement can be defined by a sequence of moves along the coordinate plane. You are given a list of instructions for these movements, and you need to determine the final position of the fish. Each instruction consists of: - A direction (one of 'N', 'S', 'E', 'W' for North, South, East, West) - A distance (an integer indicating how far the fish moves in that direction) Write a function to compute the final coordinates of the fish after completing all its movements. -----Input----- The first line of input contains a single integer m (1 leq m leq 1000), which is the number of movements. The next m lines each contain a character d_i (one of 'N', 'S', 'E', 'W') and an integer v_i (1 leq v_i leq 1000), representing the direction and the distance of each movement. -----Output----- Your function should output the final position of the fish as two integers x and y, where x is the final horizontal position (east-west coordinate) and y is the final vertical position (north-south coordinate). -----Examples----- Sample Input: 5 N 10 E 20 S 5 W 15 N 5 Sample Output: 5 10 Sample Input: 3 E 30 N 20 W 10 Sample Output: 20 20
answer:def final_position(m, movements): Computes the final coordinates of the fish after completing all movements. Args: m (int): The number of movements. movements (list of tuples): Each tuple contains a direction (str) and a distance (int). Returns: tuple: The final position as (x, y). x, y = 0, 0 for move in movements: direction, distance = move if direction == 'N': y += distance elif direction == 'S': y -= distance elif direction == 'E': x += distance elif direction == 'W': x -= distance return x, y