From 4dfaaa6e373f568eb4328c6124cd91621a22b4ca Mon Sep 17 00:00:00 2001 From: "Dynex [DNX]" <113523376+dynexcoin@users.noreply.github.com> Date: Thu, 20 Jun 2024 17:57:00 +0200 Subject: [PATCH] Add files via upload --- QuantumnQueenProblem.ipynb | 49 ++++++++++++++++++++++++++------------ 1 file changed, 34 insertions(+), 15 deletions(-) diff --git a/QuantumnQueenProblem.ipynb b/QuantumnQueenProblem.ipynb index bad80e3..1b69b41 100644 --- a/QuantumnQueenProblem.ipynb +++ b/QuantumnQueenProblem.ipynb @@ -40,19 +40,10 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 1, "id": "d5a90bf0-b803-459e-b582-fd5cd3120669", "metadata": {}, - "outputs": [ - { - "ename": "SyntaxError", - "evalue": "invalid syntax (2050042617.py, line 1)", - "output_type": "error", - "traceback": [ - "\u001b[0;36m Cell \u001b[0;32mIn[3], line 1\u001b[0;36m\u001b[0m\n\u001b[0;31m from 'nqueen/util.py' import constraint, displayBoard\u001b[0m\n\u001b[0m ^\u001b[0m\n\u001b[0;31mSyntaxError\u001b[0m\u001b[0;31m:\u001b[0m invalid syntax\n" - ] - } - ], + "outputs": [], "source": [ "from util import constraint, displayBoard\n", "from sympy import *\n", @@ -79,7 +70,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 2, "id": "ed2be420-e965-4b1b-8336-bec94f6fdd42", "metadata": {}, "outputs": [], @@ -105,7 +96,7 @@ "def Visualize(board):\n", " n = len(board)\n", " cmap = mcolors.ListedColormap(['#f5ecce', '#614532'])\n", - " img = mpimg.imread('queen.png')\n", + " img = mpimg.imread('nqueen/queen.png')\n", " fig, ax = plt.subplots()\n", " ax.matshow(np.add.outer(range(n), range(n)) % 2 == 0, cmap=cmap)\n", " plt.axis(\"off\") \n", @@ -143,10 +134,38 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 5, "id": "c2724afe-c279-4643-8954-a1d25750cd05", "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[DYNEX] 8 Queen Problem Solver\n", + "[DYNEX] SAMPLER INITIALISED\n", + "[DYNEX|TESTNET] *** WAITING FOR READS ***\n", + "╭────────────┬──────────┬─────────────────┬─────────────┬───────────┬───────────────────────────┬────────────┬─────────┬────────────────╮\n", + "│ DYNEXJOB │ QUBITS │ QUANTUM GATES │ BLOCK FEE │ ELAPSED │ WORKERS READ │ CIRCUITS │ STEPS │ GROUND STATE │\n", + "├────────────┼──────────┼─────────────────┼─────────────┼───────────┼───────────────────────────┼────────────┼─────────┼────────────────┤\n", + "│ -1 │ 72 │ 800 │ 0 │ │ *** WAITING FOR READS *** │ │ │ │\n", + "╰────────────┴──────────┴─────────────────┴─────────────┴───────────┴───────────────────────────┴────────────┴─────────┴────────────────╯\n", + "\n", + "[DYNEX] FINISHED READ AFTER 0.38 SECONDS\n", + "[DYNEX] SAMPLESET READY\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "print(\"[DYNEX] 8 Queen Problem Solver\")\n", "n = 8\n",