213 lines
6.3 KiB
Plaintext
213 lines
6.3 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 2022 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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"# crypto"
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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/crypto.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/crypto.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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" Crypto problem in Google CP Solver.\n",
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"\n",
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" Prolog benchmark problem GNU Prolog (crypta.pl)\n",
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" '''\n",
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" Name : crypta.pl\n",
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" Title : crypt-arithmetic\n",
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" Original Source: P. Van Hentenryck's book\n",
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" Adapted by : Daniel Diaz - INRIA France\n",
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" Date : September 1992\n",
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"\n",
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" Solve the operation:\n",
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"\n",
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" B A I J J A J I I A H F C F E B B J E A\n",
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" + D H F G A B C D I D B I F F A G F E J E\n",
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" -----------------------------------------\n",
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" = G J E G A C D D H F A F J B F I H E E F\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/crypta.mzn\n",
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" * Comet : http://www.hakank.org/comet/crypta.co\n",
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" * ECLiPSe : http://www.hakank.org/eclipse/crypta.ecl\n",
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" * SICStus : http://hakank.org/sicstus/crypta.pl\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(\"Crypto problem\")\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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" num_letters = 26\n",
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"\n",
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" BALLET = 45\n",
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" CELLO = 43\n",
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" CONCERT = 74\n",
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" FLUTE = 30\n",
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" FUGUE = 50\n",
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" GLEE = 66\n",
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" JAZZ = 58\n",
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" LYRE = 47\n",
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" OBOE = 53\n",
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" OPERA = 65\n",
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" POLKA = 59\n",
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" QUARTET = 50\n",
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" SAXOPHONE = 134\n",
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" SCALE = 51\n",
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" SOLO = 37\n",
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" SONG = 61\n",
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" SOPRANO = 82\n",
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" THEME = 72\n",
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" VIOLIN = 100\n",
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" WALTZ = 34\n",
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"\n",
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" #\n",
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" # variables\n",
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" #\n",
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" LD = [solver.IntVar(1, num_letters, \"LD[%i]\" % i) for i in range(num_letters)]\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, X, Y, Z = LD\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(LD))\n",
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" solver.Add(B + A + L + L + E + T == BALLET)\n",
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" solver.Add(C + E + L + L + O == CELLO)\n",
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" solver.Add(C + O + N + C + E + R + T == CONCERT)\n",
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" solver.Add(F + L + U + T + E == FLUTE)\n",
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" solver.Add(F + U + G + U + E == FUGUE)\n",
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" solver.Add(G + L + E + E == GLEE)\n",
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" solver.Add(J + A + Z + Z == JAZZ)\n",
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" solver.Add(L + Y + R + E == LYRE)\n",
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" solver.Add(O + B + O + E == OBOE)\n",
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" solver.Add(O + P + E + R + A == OPERA)\n",
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" solver.Add(P + O + L + K + A == POLKA)\n",
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" solver.Add(Q + U + A + R + T + E + T == QUARTET)\n",
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" solver.Add(S + A + X + O + P + H + O + N + E == SAXOPHONE)\n",
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" solver.Add(S + C + A + L + E == SCALE)\n",
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" solver.Add(S + O + L + O == SOLO)\n",
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" solver.Add(S + O + N + G == SONG)\n",
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" solver.Add(S + O + P + R + A + N + O == SOPRANO)\n",
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" solver.Add(T + H + E + M + E == THEME)\n",
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" solver.Add(V + I + O + L + I + N == VIOLIN)\n",
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" solver.Add(W + A + L + T + Z == WALTZ)\n",
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"\n",
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" #\n",
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" # search and result\n",
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" #\n",
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" db = solver.Phase(LD, solver.CHOOSE_MIN_SIZE_LOWEST_MIN,\n",
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" solver.ASSIGN_CENTER_VALUE)\n",
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"\n",
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" solver.NewSearch(db)\n",
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"\n",
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" num_solutions = 0\n",
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" str = \"ABCDEFGHIJKLMNOPQRSTUVWXYZ\"\n",
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" while solver.NextSolution():\n",
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" num_solutions += 1\n",
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" for (letter, val) in [(str[i], LD[i].Value()) for i in range(num_letters)]:\n",
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" print(\"%s: %i\" % (letter, val))\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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"nbformat": 4,
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"nbformat_minor": 5
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}
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