move notebooks to subdir

notebooks/problem0008.ipynb

@@ -0,0 +1,83 @@
+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "id": "8744af43",
+   "metadata": {},
+   "source": [
+    "# [Largest Product in a Series](https://projecteuler.net/problem=8)\n",
+    "\n",
+    "First, let's load the number as a tuple."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "id": "699aa447",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "num = tuple(int(d) for d in \"7316717653133062491922511967442657474235534919493496983520312774506326239578318016984801869478851843858615607891129494954595017379583319528532088055111254069874715852386305071569329096329522744304355766896648950445244523161731856403098711121722383113622298934233803081353362766142828064444866452387493035890729629049156044077239071381051585930796086670172427121883998797908792274921901699720888093776657273330010533678812202354218097512545405947522435258490771167055601360483958644670632441572215539753697817977846174064955149290862569321978468622482839722413756570560574902614079729686524145351004748216637048440319989000889524345065854122758866688116427171479924442928230863465674813919123162824586178664583591245665294765456828489128831426076900422421902267105562632111110937054421750694165896040807198403850962455444362981230987879927244284909188845801561660979191338754992005240636899125607176060588611646710940507754100225698315520005593572972571636269561882670428252483600823257530420752963450\")"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "8b53af56",
+   "metadata": {},
+   "source": [
+    "Now we'll just do a sliding window over the number to find the thirteen adjacent digits with the greatest product."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "id": "6b760673",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "(5, 5, 7, 6, 6, 8, 9, 6, 6, 4, 8, 9, 5)"
+      ]
+     },
+     "execution_count": 2,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "subnums = (num[i:i+13] for i in range(0, len(num)-13))\n",
+    "max(subnums, key=prod)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "4148d160",
+   "metadata": {},
+   "source": [
+    "Their product is 23514624000."
+   ]
+  }
+ ],
+ "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
+}