Added some further ipython solutions.
This commit is contained in:
83
ipython/EulerProblem030.ipynb
Executable file
83
ipython/EulerProblem030.ipynb
Executable file
@@ -0,0 +1,83 @@
|
||||
{
|
||||
"cells": [
|
||||
{
|
||||
"cell_type": "markdown",
|
||||
"metadata": {},
|
||||
"source": [
|
||||
"# Euler Problem 30\n",
|
||||
"\n",
|
||||
"Surprisingly there are only three numbers that can be written as the sum of fourth powers of their digits:\n",
|
||||
"\n",
|
||||
"$1634 = 1^4 + 6^4 + 3^4 + 4^4$\n",
|
||||
"\n",
|
||||
"$8208 = 8^4 + 2^4 + 0^4 + 8^4$\n",
|
||||
"\n",
|
||||
"$9474 = 9^4 + 4^4 + 7^4 + 4^4$\n",
|
||||
"\n",
|
||||
"As $1 = 1^4$ is not a sum it is not included.\n",
|
||||
"\n",
|
||||
"The sum of these numbers is $1634 + 8208 + 9474 = 19316$.\n",
|
||||
"\n",
|
||||
"Find the sum of all the numbers that can be written as the sum of fifth powers of their digits."
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "markdown",
|
||||
"metadata": {},
|
||||
"source": [
|
||||
"This is an eays brute force. We look up the fifth powers."
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 7,
|
||||
"metadata": {},
|
||||
"outputs": [
|
||||
{
|
||||
"name": "stdout",
|
||||
"output_type": "stream",
|
||||
"text": [
|
||||
"443839\n"
|
||||
]
|
||||
}
|
||||
],
|
||||
"source": [
|
||||
"fifth_power_lookup = {str(i): i**5 for i in range(0,10)}\n",
|
||||
"\n",
|
||||
"def is_number_sum_of_fiths_powers_of_digits(n):\n",
|
||||
" return n == sum([fifth_power_lookup[d] for d in str(n)])\n",
|
||||
"\n",
|
||||
"s = sum([i for i in range(1, 1000000) if is_number_sum_of_fiths_powers_of_digits(i) and not i is 1])\n",
|
||||
"print(s)\n",
|
||||
"assert(s == 443839)"
|
||||
]
|
||||
}
|
||||
],
|
||||
"metadata": {
|
||||
"completion_date": "Fri, 25 Aug 2017, 12:13",
|
||||
"kernelspec": {
|
||||
"display_name": "Python 3",
|
||||
"language": "python",
|
||||
"name": "python3"
|
||||
},
|
||||
"language_info": {
|
||||
"codemirror_mode": {
|
||||
"name": "ipython",
|
||||
"version": 3
|
||||
},
|
||||
"file_extension": ".py",
|
||||
"mimetype": "text/x-python",
|
||||
"name": "python",
|
||||
"nbconvert_exporter": "python",
|
||||
"pygments_lexer": "ipython3",
|
||||
"version": "3.6.3"
|
||||
},
|
||||
"tags": [
|
||||
"digit",
|
||||
"powers",
|
||||
"brute force"
|
||||
]
|
||||
},
|
||||
"nbformat": 4,
|
||||
"nbformat_minor": 2
|
||||
}
|
||||
Reference in New Issue
Block a user