Quiz - Extras 2

A primary school is planning a field trip to the zoo for some of its students. For this, the school can only spend exactly budget units. It is known that the entry to the zoo costs 5 units for children under 12 years old and 7 units for those who are 12 years old or older. Develop the function maximo_estudiantes that receives budget, a positive integer that indicates the budget that the school intends to spend. The function should return a tuple (p, g) with the maximum number of small and large students that the school can take to the zoo considering all values as integers.

def maximo_estudiantes(budget): ==== from unittest.gui import TestCaseGui class myTests(TestCaseGui): def testOne(self): self.assertEqual( maximo_estudiantes(93), (13, 4), "Expected: 13 small and 4 large" ) self.assertEqual( maximo_estudiantes(63), (7, 4), "Expected: 7 small and 4 large" ) myTests().main()

Develop the function a_romano, which receives a positive integer n greater than zero. The function should return the conversion of the number from Arabic to Roman numerals. The function should return a string that represents the number in Roman numerals.

Examples:
a_romano(5) -> "V"
a_romano(10) -> "X"
a_romano(25) -> "XXV"
a_romano(2011) -> "MMXI"

def a_romano(n): ==== from unittest.gui import TestCaseGui class myTests(TestCaseGui): def testOne(self): self.assertEqual(a_romano(12), "XII", "Expected: XII") self.assertEqual(a_romano(123), "CXXIII", "Expected: CXXIII") self.assertEqual(a_romano(400), "CD", "Expected: CD") self.assertEqual(a_romano(84), "LXXXIV", "Expected: LXXXIV") self.assertEqual(a_romano(542), "DXLII", "Expected: DXLII") self.assertEqual(a_romano(1042), "MXLII", "Expected: MXLII") self.assertEqual(a_romano(49), "XLIX", "Expected: XLIX") self.assertEqual(a_romano(429), "CDXXIX", "Expected: CDXXIX") self.assertEqual(a_romano(367), "CCCLXVII", "Expected: CCCLXVII") self.assertEqual(a_romano(23), "XXIII", "Expected: XXIII") self.assertEqual(a_romano(257), "CCLVII", "Expected: CCLVII") self.assertEqual(a_romano(968), "CMLXVIII", "Expected: CMLXVIII") myTests().main()

Develop the function calcular_pi, which receives a positive parameter n greater than 0. The function should calculate the approximate value of pi with n terms, according to the following formula.

pi = (4/1) - (4/3) + (4/5) - (4/7) ...

The result should be rounded to 2 decimals and returned as a string.

Examples:
calcular_pi(4) -> "2.90"
Explanation: The first 4 terms following the formula are: (4/1) - (4/3) + (4/5) - (4/7) which result in 2.895238095, rounding to two decimal places the final result would be 2.90
calcular_pi(24) -> "3.10"
calcular_pi(61) -> "3.16"
calcular_pi(100) -> "3.13"

def calcular_pi(n): ==== from unittest.gui import TestCaseGui class myTests(TestCaseGui): def testOne(self): self.assertEqual(calcular_pi(4), "2.90", "Expected: 2.90") self.assertEqual(calcular_pi(10), "3.04", "Expected: 3.04") self.assertEqual(calcular_pi(15), "3.21", "Expected: 3.21") self.assertEqual(calcular_pi(60), "3.12", "Expected: 3.12") self.assertEqual(calcular_pi(24), "3.10", "Expected: 3.10") self.assertEqual(calcular_pi(100), "3.13", "Expected: 3.13") self.assertEqual(calcular_pi(1000), "3.14", "Expected: 3.14") myTests().main()

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