add problem 56

notebooks/problem0056.ipynb

@@ -0,0 +1,72 @@
+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "id": "9f099af5",
+   "metadata": {},
+   "source": [
+    "# [Powerful Digit Sum](https://projecteuler.net/problem=56)\n",
+    "\n",
+    "Python's unlimited precision ints save the day again!"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "id": "34d2f2cc",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "def digit_sum(n):\n",
+    "    total = 0\n",
+    "    while n != 0:\n",
+    "        total += n % 10\n",
+    "        n //= 10\n",
+    "    \n",
+    "    return total"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "id": "2206dec6",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "972"
+      ]
+     },
+     "execution_count": 2,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "max(digit_sum(a^b) for a in range(1, 100) for b in range(1, 100))"
+   ]
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "SageMath 9.5",
+   "language": "sage",
+   "name": "sagemath"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.11.2"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}