answer:def evaluate_expression(expression): Evaluate the string expression consisting of digits (0-9), operators (+, -, *, /) and parentheses. Returns the evaluated result as an integer. def precedence(op): if op in ('+', '-'): return 1 if op in ('*', '/'): return 2 return 0 def apply_op(a, b, op): if op == '+': return a + b if op == '-': return a - b if op == '*': return a * b if op == '/': return int(a / b) # Use int() to truncate towards zero return 0 def evaluate(tokens): values = [] ops = [] i = 0 while i < len(tokens): if tokens[i] == ' ': i += 1 continue elif tokens[i] == '(': ops.append(tokens[i]) elif tokens[i].isdigit(): val = 0 while i < len(tokens) and tokens[i].isdigit(): val = (val * 10) + int(tokens[i]) i += 1 values.append(val) i -= 1 elif tokens[i] == ')': while len(ops) != 0 and ops[-1] != '(': val2 = values.pop() val1 = values.pop() op = ops.pop() values.append(apply_op(val1, val2, op)) ops.pop() else: while (len(ops) != 0 and precedence(ops[-1]) >= precedence(tokens[i])): val2 = values.pop() val1 = values.pop() op = ops.pop() values.append(apply_op(val1, val2, op)) ops.append(tokens[i]) i += 1 while len(ops) != 0: val2 = values.pop() val1 = values.pop() op = ops.pop() values.append(apply_op(val1, val2, op)) return values[-1] return evaluate(expression) def evaluate_expressions(expressions): results = [] for expression in expressions: results.append(evaluate_expression(expression)) return results def main(): import sys input = sys.stdin.read data = input().splitlines() T = int(data[0]) expressions = data[1:T+1] results = evaluate_expressions(expressions) for result in results: print(result)

answer:def is_palindrome(s): Checks if the given string s is a palindrome considering only letters and ignoring case, spaces, and special characters. # Filter out non-letter characters and convert to lower case filtered_chars = [char.lower() for char in s if char.isalpha()] # Check if the filtered characters form a palindrome return filtered_chars == filtered_chars[::-1] def check_palindromes(test_cases): Processes multiple test cases to check if each of them is a palindrome. results = [] for s in test_cases: if is_palindrome(s): results.append("palindrome") else: results.append("not a palindrome") return results

answer:def dispense_cash(amount): Given an amount, this function calculates the number of each denomination (100s, 50s, 20s, 10s, 5s, 1s) needed to dispense the amount while minimizing the number of bills. denominations = [100, 50, 20, 10, 5, 1] bills = {} for denom in denominations: bills[denom], amount = divmod(amount, denom) return f"100s: {bills[100]}, 50s: {bills[50]}, 20s: {bills[20]}, 10s: {bills[10]}, 5s: {bills[5]}, 1s: {bills[1]}" def process_transactions(input_lines): Processes multiple lines of transaction inputs until encountering '0'. For each transaction, it returns the number of each denomination of bill to be dispensed. results = [] for line in input_lines: amount = int(line) if amount == 0: break result = dispense_cash(amount) results.append(result) return results

answer:import math def min_sum_after_gcd_operations(t, test_cases): results = [] for case in test_cases: n, arr = case gcd_all = arr[0] for num in arr[1:]: gcd_all = math.gcd(gcd_all, num) results.append(gcd_all * n) return results