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{
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{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Recursion\n",
"Practices on recursion for Year 13 Computer Science."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# Practice - outputs the binary representation of number recursively.\n",
"def x(n: int):\n",
" if ( n == 0 ) or ( n == 1 ):\n",
" print(n, end=\"\")\n",
" return\n",
" x(n // 2)\n",
" print(n % 2, end=\"\")\n",
"def rec_bin(n: int):\n",
" x(n)\n",
" print()\n",
"for i in range(0, 16):\n",
" rec_bin(i)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"def fact(n: int): return n * fact(n-1) if n != 0 else 1\n",
"\n",
"def compound(p: float, r: float, y: int) -> float:\n",
" return p if y == 0 else compound(p*r, r, y-1)\n",
"\n",
"def print_fib(a, b, l):\n",
" print(a)\n",
" print(b)\n",
" print_next_fib(a, b, l-3)\n",
"\n",
"def print_next_fib(a: int, b: int, l: int):\n",
" if l == 0:\n",
" print(a+b)\n",
" return\n",
" print(a+b)\n",
" return print_next_fib(b, a+b, l-1)\n",
"\n",
"def fib_nth(n: int):\n",
" if n == 1:\n",
" return 0\n",
" if n == 2:\n",
" return 1\n",
" return fib_nth(n-1) + fib_nth(n-2)\n",
"\n",
"def draw_underline(l: int):\n",
" return '-'*l\n",
"\n",
"def test():\n",
" range_end = 15\n",
" print(f\"Printing series of factorials from 1 to {range_end}\\n{draw_underline(20)}\")\n",
" for i in range(1, range_end):\n",
" print(fact(i), end=\", \" if i < range_end-1 else \"\\n\")\n",
" fib_until = 15\n",
" print(f\"\\n\\nPrinting fibonacci sequence to {fib_until}\\n{draw_underline(20)}\")\n",
" print_fib(0, 1, fib_until)\n",
" print(fib_nth(5))\n",
" print(compound(36800*4, 1.06, 10) / (43129-3170*12))\n",
"def payback(tuition: int, rate: int, salary: int):\n",
" years = 0\n",
" remaining = tuition * 4\n",
"\n",
" while remaining > 0:\n",
" remaining -= salary\n",
" years += 1\n",
" remaining *= rate\n",
" print(f\"Year {years}: remaining: {remaining}\")\n",
" print(years)\n",
"\n",
"if __name__ == \"__main__\":\n",
" test()\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Object-oriented programming"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"class Student: \n",
" def __init__(self, name: str, dateOfBirth: str, examMark: int):\n",
" self.__name = name\n",
" self.__dateOfBirth = dateOfBirth\n",
" self.__examMark = examMark\n",
" def displayExamMark(self):\n",
" print(f\"{self.__name} got {self.__examMark} marks\")\n",
"\n",
"\n",
"class PartTimeStudent(Student):\n",
" def __init__(self, name: str, dateOfBirth: str, examMark: int):\n",
" self.__isFullTime = False\n",
" super().__init__(name, dateOfBirth, examMark)\n",
" def time(self):\n",
" return \"Full time\" if self.__isFullTime else \"Part time\"\n",
"\n",
"\n",
"class FullTimeStudent(Student):\n",
" def __init__(self, name: str, dateOfBirth: str, examMark: int):\n",
" self.__isFullTime = True\n",
" super().__init__(name, dateOfBirth, examMark)\n",
" def time(self):\n",
" return \"Full time\" if self.__isFullTime else \"Part time\"\n",
"\n",
"\n",
"myStudent = Student(\"Example Exampleperson\", \"1989-06-04\", 69)\n",
"myStudent.displayExamMark()\n",
"myFullStudent = FullTimeStudent(\"Dwayne Johnson\", \"1999-9-9\", 80)\n",
"myPartStudent = PartTimeStudent(\"Jake Paul\", \"1999-9-9\", 0)\n",
"myPartStudent.displayExamMark()\n",
"myFullStudent.displayExamMark()\n"
]
}
],
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|
