216 lines
6.8 KiB
Plaintext
216 lines
6.8 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "markdown",
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"id": "google",
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"metadata": {},
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"source": [
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"##### Copyright 2025 Google LLC."
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]
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},
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{
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"cell_type": "markdown",
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"id": "apache",
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"metadata": {},
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"source": [
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"Licensed under the Apache License, Version 2.0 (the \"License\");\n",
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"you may not use this file except in compliance with the License.\n",
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"You may obtain a copy of the License at\n",
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"\n",
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" http://www.apache.org/licenses/LICENSE-2.0\n",
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"\n",
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"Unless required by applicable law or agreed to in writing, software\n",
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"distributed under the License is distributed on an \"AS IS\" BASIS,\n",
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"WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\n",
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"See the License for the specific language governing permissions and\n",
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"limitations under the License.\n"
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]
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},
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{
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"cell_type": "markdown",
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"id": "basename",
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"metadata": {},
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"source": [
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"# labeled_dice"
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]
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},
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{
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"cell_type": "markdown",
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"id": "link",
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"metadata": {},
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"source": [
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"<table align=\"left\">\n",
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"<td>\n",
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"<a href=\"https://colab.research.google.com/github/google/or-tools/blob/main/examples/notebook/contrib/labeled_dice.ipynb\"><img src=\"https://raw.githubusercontent.com/google/or-tools/main/tools/colab_32px.png\"/>Run in Google Colab</a>\n",
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"</td>\n",
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"<td>\n",
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"<a href=\"https://github.com/google/or-tools/blob/main/examples/contrib/labeled_dice.py\"><img src=\"https://raw.githubusercontent.com/google/or-tools/main/tools/github_32px.png\"/>View source on GitHub</a>\n",
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"</td>\n",
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"</table>"
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]
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},
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{
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"cell_type": "markdown",
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"id": "doc",
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"metadata": {},
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"source": [
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"First, you must install [ortools](https://pypi.org/project/ortools/) package in this colab."
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"id": "install",
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"metadata": {},
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"outputs": [],
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"source": [
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"%pip install ortools"
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]
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},
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{
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"cell_type": "markdown",
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"id": "description",
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"metadata": {},
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"source": [
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"\n",
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"\n",
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" Labeled dice problem in Google CP Solver.\n",
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"\n",
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" From Jim Orlin 'Colored letters, labeled dice: a logic puzzle'\n",
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" http://jimorlin.wordpress.com/2009/02/17/colored-letters-labeled-dice-a-logic-puzzle/\n",
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" '''\n",
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" My daughter Jenn bough a puzzle book, and showed me a cute puzzle. There\n",
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" are 13 words as follows: BUOY, CAVE, CELT, FLUB, FORK, HEMP, JUDY,\n",
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" JUNK, LIMN, QUIP, SWAG, VISA, WISH.\n",
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"\n",
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" There are 24 different letters that appear in the 13 words. The question\n",
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" is: can one assign the 24 letters to 4 different cubes so that the\n",
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" four letters of each word appears on different cubes. (There is one\n",
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" letter from each word on each cube.) It might be fun for you to try\n",
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" it. I'll give a small hint at the end of this post. The puzzle was\n",
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" created by Humphrey Dudley.\n",
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" '''\n",
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"\n",
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" Jim Orlin's followup 'Update on Logic Puzzle':\n",
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" http://jimorlin.wordpress.com/2009/02/21/update-on-logic-puzzle/\n",
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"\n",
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"\n",
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" Compare with the following models:\n",
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" * ECLiPSe: http://hakank.org/eclipse/labeled_dice.ecl\n",
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" * Comet : http://www.hakank.org/comet/labeled_dice.co\n",
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" * Gecode : http://hakank.org/gecode/labeled_dice.cpp\n",
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" * SICStus: http://hakank.org/sicstus/labeled_dice.pl\n",
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" * Zinc : http://hakank.org/minizinc/labeled_dice.zinc\n",
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"\n",
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"\n",
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" This model was created by Hakan Kjellerstrand (hakank@gmail.com)\n",
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" Also see my other Google CP Solver models:\n",
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" http://www.hakank.org/google_or_tools/\n"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"id": "code",
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"metadata": {},
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"outputs": [],
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"source": [
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"from ortools.constraint_solver import pywrapcp\n",
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"\n",
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"\n",
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"def main():\n",
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"\n",
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" # Create the solver.\n",
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" solver = pywrapcp.Solver(\"Labeled dice\")\n",
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"\n",
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" #\n",
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" # data\n",
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" #\n",
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" n = 4\n",
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" m = 24\n",
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" A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, Y = (\n",
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" list(range(m)))\n",
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" letters = [\n",
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" \"A\", \"B\", \"C\", \"D\", \"E\", \"F\", \"G\", \"H\", \"I\", \"J\", \"K\", \"L\", \"M\", \"N\", \"O\",\n",
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" \"P\", \"Q\", \"R\", \"S\", \"T\", \"U\", \"V\", \"W\", \"Y\"\n",
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" ]\n",
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"\n",
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" num_words = 13\n",
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" words = [[B, U, O, Y], [C, A, V, E], [C, E, L, T], [F, L, U, B], [F, O, R, K],\n",
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" [H, E, M, P], [J, U, D, Y], [J, U, N, K], [L, I, M, N], [Q, U, I, P],\n",
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" [S, W, A, G], [V, I, S, A], [W, I, S, H]]\n",
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"\n",
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" #\n",
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" # declare variables\n",
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" #\n",
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" dice = [solver.IntVar(0, n - 1, \"dice[%i]\" % i) for i in range(m)]\n",
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"\n",
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" #\n",
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" # constraints\n",
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" #\n",
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"\n",
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" # the letters in a word must be on a different die\n",
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" for i in range(num_words):\n",
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" solver.Add(solver.AllDifferent([dice[words[i][j]] for j in range(n)]))\n",
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"\n",
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" # there must be exactly 6 letters of each die\n",
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" for i in range(n):\n",
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" b = [solver.IsEqualCstVar(dice[j], i) for j in range(m)]\n",
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" solver.Add(solver.Sum(b) == 6)\n",
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"\n",
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" #\n",
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" # solution and search\n",
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" #\n",
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" solution = solver.Assignment()\n",
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" solution.Add(dice)\n",
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"\n",
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" db = solver.Phase(dice, solver.CHOOSE_FIRST_UNBOUND, solver.ASSIGN_MIN_VALUE)\n",
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"\n",
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" #\n",
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" # result\n",
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" #\n",
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" solver.NewSearch(db)\n",
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" num_solutions = 0\n",
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" while solver.NextSolution():\n",
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" num_solutions += 1\n",
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" # print \"dice:\", [(letters[i],dice[i].Value()) for i in range(m)]\n",
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" for d in range(n):\n",
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" print(\"die %i:\" % d, end=\" \")\n",
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" for i in range(m):\n",
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" if dice[i].Value() == d:\n",
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" print(letters[i], end=\" \")\n",
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" print()\n",
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"\n",
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" print(\"The words with the cube label:\")\n",
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" for i in range(num_words):\n",
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" for j in range(n):\n",
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" print(\n",
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" \"%s (%i)\" % (letters[words[i][j]], dice[words[i][j]].Value()),\n",
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" end=\" \")\n",
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" print()\n",
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"\n",
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" print()\n",
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"\n",
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" solver.EndSearch()\n",
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"\n",
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" print()\n",
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" print(\"num_solutions:\", num_solutions)\n",
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" print(\"failures:\", solver.Failures())\n",
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" print(\"branches:\", solver.Branches())\n",
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" print(\"WallTime:\", solver.WallTime())\n",
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"\n",
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"\n",
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"main()\n",
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"\n"
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]
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}
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],
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"metadata": {
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"language_info": {
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"name": "python"
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}
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},
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"nbformat": 4,
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"nbformat_minor": 5
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}
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