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question:def count_interesting_subsequences(n: int, a: List[int]) -> int: Returns the number of different interesting subsequences. An interesting subsequence is defined as a subsequence that is in strictly increasing order and contains the maximum element of the array. >>> count_interesting_subsequences(4, [3, 1, 4, 2]) 3 >>> count_interesting_subsequences(5, [3, 1, 4, 2, 4]) 2
answer:def count_interesting_subsequences(n, a): Returns the number of different interesting subsequences. An interesting subsequence is defined as a subsequence that is in strictly increasing order and contains the maximum element of the array. # Find the maximum element in the array max_element = max(a) # Count the number of times the maximum element appears in the array max_count = a.count(max_element) # The number of interesting subsequences is the number of different ways to choose the index # positions of the maximum elements return max_count
question:def min_moves(initial_position, queries): Calculate the minimum number of moves needed for the Chameleon Knight to reach each target position starting from its initial position. The knight can move like a standard chess knight or use a spell to instantly teleport to any square on the board. Parameters: initial_position (tuple): A tuple (x, y) where x and y are the initial coordinates of the knight. queries (list): A list of tuples where each tuple (xi, yi) represents a target position. Returns: list: A list of integers where each integer denotes the minimum number of moves for the corresponding query. >>> min_moves((1, 1), [(2, 3)]) [1] >>> min_moves((1, 1), [(4, 5)]) [1] pass
answer:def min_moves(initial_position, queries): def knight_moves(from_pos, to_pos): # It can move either as a knight or instant teleport with spell # Distance calculation: Manhattan distance if from_pos == to_pos: return 0 return 1 # You can always move directly with the spell x, y = initial_position results = [] for (xi, yi) in queries: results.append(knight_moves((x, y), (xi, yi))) return results # Initial position from inputs initial_position = (1, 1) # List of queries from inputs queries = [(2, 3), (4, 5), (6, 6)] # Function call print(min_moves(initial_position, queries)) # This will output [1, 1, 1]
question:def can_split_into_equal_sum_subsequences(n: int, nums: List[int]) -> str: You are given a list of integers. Your task is to check whether the list can be split into two non-empty subsequences such that the sum of the elements in one subsequence is equal to the sum of the elements in the other subsequence. >>> can_split_into_equal_sum_subsequences(4, [1, 5, 11, 5]) "YES" >>> can_split_into_equal_sum_subsequences(2, [1, 2]) "NO" >>> can_split_into_equal_sum_subsequences(2, [2, 2]) "YES" >>> can_split_into_equal_sum_subsequences(5, [1, 2, 3, 4, 5]) "NO" >>> can_split_into_equal_sum_subsequences(4, [1, 1, 1, 1]) "YES" >>> can_split_into_equal_sum_subsequences(5, [3, 1, 4, 2, 2]) "YES"
answer:def can_split_into_equal_sum_subsequences(n, nums): total_sum = sum(nums) # If the total sum is odd, it's not possible to split into two equal parts if total_sum % 2 != 0: return "NO" target = total_sum // 2 dp = [False] * (target + 1) dp[0] = True for num in nums: for i in range(target, num - 1, -1): if dp[i - num]: dp[i] = True return "YES" if dp[target] else "NO"
question:def count_distinct_characters(s: str, queries: List[Tuple[int, int]]) -> List[int]: Returns the number of distinct characters in the specified substrings of s. Args: s (str): Input string. queries (list of tuples): Each tuple contains two integers (li, ri) representing the indices of the substring. Returns: list: List of integers where each integer is the number of distinct characters in the substring s[li...ri]. Examples: >>> count_distinct_characters("ababc", [(1, 3), (2, 5), (1, 5)]) [2, 3, 3] >>> count_distinct_characters("aaaaa", [(1, 5), (2, 4), (1, 1)]) [1, 1, 1]
answer:def count_distinct_characters(s, queries): Returns the number of distinct characters in the specified substrings of s. Args: s (str): Input string. queries (list of tuple): List of tuples where each tuple contains two integers (li, ri). Returns: list: List of integers where each integer is the number of distinct characters in the substring s[li...ri]. results = [] for li, ri in queries: substring = s[li-1:ri] distinct_characters = len(set(substring)) results.append(distinct_characters) return results