Add Solve for 13 a

13/13.ipynb

@@ -0,0 +1,146 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": 7,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "import numpy as np\n",
+    "import re\n",
+    "\n",
+    "def readfile(infilename='testinput',offset=0):\n",
+    "    pattern= re.compile(r'''[XY][+=](\\d+)''')   #Pattern to Extract Values\n",
+    "    A=np.zeros((2,2),dtype=int)                 #Empty 2x2 Matrix\n",
+    "    B=None                                      #Placeholder for PrizePosition\n",
+    "\n",
+    "    with open(infilename,'r') as infile:\n",
+    "        for idx,line in enumerate(infile.readlines()):\n",
+    "            line = line.strip()\n",
+    "            # on empty line yield result and reset\n",
+    "            if line =='':\n",
+    "                if B is not None:\n",
+    "                    solution = np.linalg.solve(A.astype(int),B.astype(int))\n",
+    "                    # remove non integer Solutions\n",
+    "                    solution = solution.astype(int) if np.allclose(solution, np.round(solution)) else None\n",
+    "                    yield A,B,solution\n",
+    "                A=np.zeros((2,2))\n",
+    "                B=None\n",
+    "                continue\n",
+    "            # grep X/Y Values from Line\n",
+    "            matches = pattern.findall(line)\n",
+    "            if \"Button A\" in line:  #A Button Presses are X in my equation > first column of A\n",
+    "                A[:,0]=matches\n",
+    "            if \"Button B\" in line:  #B Button Presses are Y in my equation > second column of A\n",
+    "                A[:,1]=matches\n",
+    "            if \"Prize:\" in line:\n",
+    "                B=np.array(matches,dtype=int)+[offset,offset] #offset added for part 2"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Part 1"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 8,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "28714"
+      ]
+     },
+     "execution_count": 8,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "sum(a*3 + b for a,b in [x[2] for x in readfile('input') if x[2] is not None ])"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Part 2"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 225,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "[(array([[69., 27.],\n",
+       "         [23., 71.]]),\n",
+       "  array([10000000018641, 10000000010279]),\n",
+       "  array([102851800151, 107526881786]))]"
+      ]
+     },
+     "execution_count": 225,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "[x for x in readfile(offset=10000000000000) if x[2] is not None ]\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 226,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "416082282239"
+      ]
+     },
+     "execution_count": 226,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "sum(a*3 + b for a,b in [x[2] for x in readfile(offset=10000000000000) if x[2] is not None ])\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  }
+ ],
+ "metadata": {
+  "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": "3.8.10"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}

13/testinput

@@ -0,0 +1,16 @@
+Button A: X+94, Y+34
+Button B: X+22, Y+67
+Prize: X=8400, Y=5400
+
+Button A: X+26, Y+66
+Button B: X+67, Y+21
+Prize: X=12748, Y=12176
+
+Button A: X+17, Y+86
+Button B: X+84, Y+37
+Prize: X=7870, Y=6450
+
+Button A: X+69, Y+23
+Button B: X+27, Y+71
+Prize: X=18641, Y=10279
+