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question:def min_operations_to_empty_string(s: str) -> int: Returns the minimum number of operations needed to make the string empty. >>> min_operations_to_empty_string("aabb") == 2 >>> min_operations_to_empty_string("abc") == 3 >>> min_operations_to_empty_string("aaabbb") == 2 >>> min_operations_to_empty_string("a") == 1 >>> min_operations_to_empty_string("ababab") == 6 def process_test_cases(test_cases: List[str]) -> List[int]: Processes a list of test cases and returns the result for each. >>> process_test_cases(["aabb", "abc", "aaabbb"]) == [2, 3, 2] >>> process_test_cases(["a", "bb", "ccccc"]) == [1, 1, 1] >>> process_test_cases(["abcd", "aba", "aaaabbbb"]) == [4, 3, 2] >>> process_test_cases([""]) == [0]
answer:def min_operations_to_empty_string(s): Returns the minimum number of operations needed to make the string empty. if not s: return 0 operations = 0 i = 0 while i < len(s): char = s[i] while i < len(s) and s[i] == char: i += 1 operations += 1 return operations def process_test_cases(test_cases): Processes a list of test cases and returns the result for each. results = [] for s in test_cases: results.append(min_operations_to_empty_string(s)) return results
question:from typing import List, Tuple def identify_mountains(n: int, heights: List[int]) -> Tuple[int, List[int]]: Identify the number of individual mountains and specify the height of each mountain in the order they were observed. Args: - n (int): The number of height measurements. - heights (list of int): The sequence of height measurements. Returns: - a tuple containing: - int: The number of mountains observed. - list of int: The height of each mountain in the order they were recorded. >>> identify_mountains(8, [1, 3, 5, 3, 1, 4, 2, 1]) (2, [5, 4]) >>> identify_mountains(5, [2, 4, 6, 4, 2]) (1, [6]) >>> identify_mountains(3, [1, 2, 1]) (1, [2]) >>> identify_mountains(9, [1, 4, 6, 4, 2, 1, 5, 3, 1]) (2, [6, 5])
answer:def identify_mountains(n, heights): This function identifies the number of individual mountains and specifies the height of each mountain in the order they were observed. Args: - n (int): The number of height measurements. - heights (list of int): The sequence of height measurements. Returns: - a tuple containing: - int: The number of mountains observed. - list of int: The height of each mountain in the order they were recorded. if n == 1: return 1, heights # With only one element, there's only one mountain mountains = [] peak = -1 for i in range(1, n - 1): if heights[i - 1] < heights[i] > heights[i + 1]: if peak != -1: mountains.append(heights[peak]) peak = i if peak != -1: mountains.append(heights[peak]) return len(mountains), mountains
question:def reorder_cows(n: int, m: int, a: List[int], S: List[int]) -> List[int]: Reorders the cows such that the cows in subset S are in non-decreasing order while all other cows can be in any position. Parameters: - n (int): Total number of cows. - m (int): Size of subset S. - a (list of int): Array representing the positions of cows. - S (list of int): Indices of the subset S which need to be in non-decreasing order. Returns: - list of int: Reordered array of cows' positions. >>> reorder_cows(5, 3, [5, 4, 3, 2, 1], [2, 4, 5]) [5, 2, 3, 1, 4] >>> reorder_cows(5, 5, [5, 4, 3, 2, 1], [1, 2, 3, 4, 5]) [1, 2, 3, 4, 5] >>> reorder_cows(5, 0, [5, 4, 3, 2, 1], []) [5, 4, 3, 2, 1] >>> reorder_cows(6, 2, [6, 5, 4, 3, 2, 1], [3, 5]) [6, 5, 2, 3, 1, 4] >>> reorder_cows(8, 3, [8, 7, 6, 5, 4, 3, 2, 1], [2, 4, 6]) [8, 3, 6, 4, 5, 2, 2, 1]
answer:def reorder_cows(n, m, a, S): Reorders the cows such that the cows in subset S are in non-decreasing order while all other cows can be in any position. Parameters: - n (int): Total number of cows. - m (int): Size of subset S. - a (list of int): Array representing the positions of cows. - S (list of int): Indices of the subset S which need to be in non-decreasing order. Returns: - list of int: Reordered array of cows' positions. # Convert S indices to 0-based S = [s - 1 for s in S] # Extract the elements of the subset S from the array and sort them subset_values = sorted([a[s] for s in S]) # Create a result array and fill it with -1 indicating unassigned indices result = [-1] * n # Place the sorted subset values into the result array j = 0 for s in S: result[s] = subset_values[j] j += 1 # Fill in the other values at the unassigned positions other_values = [a[i] for i in range(n) if result[i] == -1] other_index = 0 for i in range(n): if result[i] == -1: result[i] = other_values[other_index] other_index += 1 return result
question:def find_largest_connected_component(n, m, circles): Determines the size of the largest connected component in a graph representation of social network circles. Parameters: n (int): the number of members m (int): the number of circles circles (List[List[int]]): list of m circles, each containing a set of members Returns: int: the size of the largest connected component Example: >>> find_largest_connected_component(10, 4, [ ... [3, 1, 2, 5], ... [4, 2, 3, 6, 7], ... [2, 4, 8], ... [3, 5, 7, 9] ... ]) 7 >>> find_largest_connected_component(5, 0, []) 1 >>> find_largest_connected_component(5, 3, [ ... [1, 1], ... [1, 2], ... [1, 3] ... ]) 1 >>> find_largest_connected_component(6, 3, [ ... [2, 1, 2], ... [2, 3, 4], ... [2, 5, 6] ... ]) 2 >>> find_largest_connected_component(5, 1, [ ... [5, 1, 2, 3, 4, 5] ... ]) 5
answer:def find_largest_connected_component(n, m, circles): from collections import defaultdict, deque if m == 0: return 1 if n > 0 else 0 adjacency_list = defaultdict(list) for circle in circles: members = circle[1:] for i in range(len(members)): for j in range(i + 1, len(members)): adjacency_list[members[i]].append(members[j]) adjacency_list[members[j]].append(members[i]) visited = [False] * (n + 1) def bfs(start): queue = deque([start]) visited[start] = True size = 0 while queue: node = queue.popleft() size += 1 for neighbor in adjacency_list[node]: if not visited[neighbor]: visited[neighbor] = True queue.append(neighbor) return size max_size = 0 for member in range(1, n + 1): if not visited[member]: component_size = bfs(member) max_size = max(max_size, component_size) return max_size