from utils import * # Q1 from math import sqrt def distance(city1, city2): """ >>> city1 = make_city('city1', 0, 1) >>> city2 = make_city('city2', 0, 2) >>> distance(city1, city2) 1.0 >>> city3 = make_city('city3', 6.5, 12) >>> city4 = make_city('city4', 2.5, 15) >>> distance(city3, city4) 5.0 """ "*** YOUR CODE HERE ***" # Q2 def closer_city(lat, lon, city1, city2): """ Returns the name of either city1 or city2, whichever is closest to coordinate (lat, lon). >>> berkeley = make_city('Berkeley', 37.87, 112.26) >>> stanford = make_city('Stanford', 34.05, 118.25) >>> closer_city(38.33, 121.44, berkeley, stanford) 'Stanford' >>> bucharest = make_city('Bucharest', 44.43, 26.10) >>> vienna = make_city('Vienna', 48.20, 16.37) >>> closer_city(41.29, 174.78, bucharest, vienna) 'Bucharest' """ "*** YOUR CODE HERE ***" # Q3 def ab_plus_c(a, b, c): """Computes a * b + c. >>> ab_plus_c(2, 4, 3) # 2 * 4 + 3 11 >>> ab_plus_c(0, 3, 2) # 0 * 3 + 2 2 >>> ab_plus_c(3, 0, 2) # 3 * 0 + 2 2 """ "*** YOUR CODE HERE ***" # Q4 def is_prime(n): """Returns True if n is a prime number and False otherwise. >>> is_prime(2) True >>> is_prime(16) False >>> is_prime(521) True """ "*** YOUR CODE HERE ***"