247 lines
8.5 KiB
Plaintext
247 lines
8.5 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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"# a_round_of_golf"
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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/a_round_of_golf.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/a_round_of_golf.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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" A Round of Golf puzzle (Dell Logic Puzzles) in Google CP Solver.\n",
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"\n",
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" From http://brownbuffalo.sourceforge.net/RoundOfGolfClues.html\n",
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" '''\n",
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" Title: A Round of Golf\n",
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" Author: Ellen K. Rodehorst\n",
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" Publication: Dell Favorite Logic Problems\n",
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" Issue: Summer, 2000\n",
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" Puzzle #: 9\n",
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" Stars: 1\n",
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"\n",
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" When the Sunny Hills Country Club golf course isn't in use by club members,\n",
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" of course, it's open to the club's employees. Recently, Jack and three other\n",
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" workers at the golf course got together on their day off to play a round of\n",
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" eighteen holes of golf.\n",
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" Afterward, all four, including Mr. Green, went to the clubhouse to total\n",
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" their scorecards. Each man works at a different job (one is a short-order\n",
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" cook), and each shot a different score in the game. No one scored below\n",
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" 70 or above 85 strokes. From the clues below, can you discover each man's\n",
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" full name, job and golf score?\n",
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"\n",
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" 1. Bill, who is not the maintenance man, plays golf often and had the lowest\n",
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" score of the foursome.\n",
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" 2. Mr. Clubb, who isn't Paul, hit several balls into the woods and scored ten\n",
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" strokes more than the pro-shop clerk.\n",
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" 3. In some order, Frank and the caddy scored four and seven more strokes than\n",
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" Mr. Sands.\n",
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" 4. Mr. Carter thought his score of 78 was one of his better games, even\n",
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" though Frank's score was lower.\n",
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" 5. None of the four scored exactly 81 strokes.\n",
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"\n",
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" Determine: First Name - Last Name - Job - Score\n",
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" '''\n",
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"\n",
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" Compare with the F1 model:\n",
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" http://www.f1compiler.com/samples/A 20Round 20of 20Golf.f1.html\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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" * MiniZinc: http://www.hakank.org/minizinc/a_round_of_golf.mzn\n",
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" * Comet : http://www.hakank.org/comet/a_round_of_golf.co\n",
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" * ECLiPSe : http://www.hakank.org/eclipse/a_round_of_golf.ecl\n",
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" * Gecode : http://hakank.org/gecode/a_round_of_golf.cpp\n",
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" * SICStus : http://hakank.org/sicstus/a_round_of_golf.pl\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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"\n",
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"\n",
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"\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(\"All interval\")\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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" [Jack, Bill, Paul, Frank] = [i for i in range(n)]\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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" last_name = [solver.IntVar(0, n - 1, \"last_name[%i]\" % i) for i in range(n)]\n",
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" [Green, Clubb, Sands, Carter] = last_name\n",
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"\n",
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" job = [solver.IntVar(0, n - 1, \"job[%i]\" % i) for i in range(n)]\n",
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" [cook, maintenance_man, clerk, caddy] = job\n",
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"\n",
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" score = [solver.IntVar(70, 85, \"score[%i]\" % i) for i in range(n)]\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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" solver.Add(solver.AllDifferent(last_name))\n",
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" solver.Add(solver.AllDifferent(job))\n",
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" solver.Add(solver.AllDifferent(score))\n",
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"\n",
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" # 1. Bill, who is not the maintenance man, plays golf often and had\n",
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" # the lowest score of the foursome.\n",
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" solver.Add(Bill != maintenance_man)\n",
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" solver.Add(score[Bill] < score[Jack])\n",
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" solver.Add(score[Bill] < score[Paul])\n",
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" solver.Add(score[Bill] < score[Frank])\n",
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"\n",
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" # 2. Mr. Clubb, who isn't Paul, hit several balls into the woods and\n",
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" # scored ten strokes more than the pro-shop clerk.\n",
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" solver.Add(Clubb != Paul)\n",
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" solver.Add(solver.Element(score, Clubb) == solver.Element(score, clerk) + 10)\n",
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"\n",
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" # 3. In some order, Frank and the caddy scored four and seven more\n",
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" # strokes than Mr. Sands.\n",
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" solver.Add(Frank != caddy)\n",
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" solver.Add(Frank != Sands)\n",
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" solver.Add(caddy != Sands)\n",
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"\n",
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" b3_a_1 = solver.IsEqualVar(solver.Element(score, Sands) + 4, score[Frank])\n",
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" b3_a_2 = solver.IsEqualVar(\n",
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" solver.Element(score, caddy),\n",
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" solver.Element(score, Sands) + 7)\n",
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"\n",
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" b3_b_1 = solver.IsEqualVar(solver.Element(score, Sands) + 7, score[Frank])\n",
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" b3_b_2 = solver.IsEqualVar(\n",
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" solver.Element(score, caddy),\n",
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" solver.Element(score, Sands) + 4)\n",
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"\n",
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" solver.Add((b3_a_1 * b3_a_2) + (b3_b_1 * b3_b_2) == 1)\n",
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"\n",
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" # 4. Mr. Carter thought his score of 78 was one of his better games,\n",
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" # even though Frank's score was lower.\n",
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" solver.Add(Frank != Carter)\n",
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" solver.Add(solver.Element(score, Carter) == 78)\n",
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" solver.Add(score[Frank] < solver.Element(score, Carter))\n",
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"\n",
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" # 5. None of the four scored exactly 81 strokes.\n",
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" [solver.Add(score[i] != 81) for i in range(n)]\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(last_name)\n",
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" solution.Add(job)\n",
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" solution.Add(score)\n",
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"\n",
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" db = solver.Phase(last_name + job + score, solver.CHOOSE_FIRST_UNBOUND,\n",
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" solver.INT_VALUE_DEFAULT)\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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" print(\"last_name:\", [last_name[i].Value() for i in range(n)])\n",
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" print(\"job :\", [job[i].Value() for i in range(n)])\n",
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" print(\"score :\", [score[i].Value() for i in range(n)])\n",
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" num_solutions += 1\n",
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" print()\n",
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"\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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