Add OS X/Swift and Python implementations of the Eight Queens problem
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5 changed files with 452 additions and 0 deletions
247
EightQueens-OSX-Swift/EightQueens.xcodeproj/project.pbxproj
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247
EightQueens-OSX-Swift/EightQueens.xcodeproj/project.pbxproj
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children = (
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EACAF1A51B16BD5000F01B99 /* EightQueens */,
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EACAF1A41B16BD5000F01B99 /* Products */,
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isa = PBXGroup;
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children = (
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EACAF1A31B16BD5000F01B99 /* EightQueens */,
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name = Products;
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sourceTree = "<group>";
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EACAF1A51B16BD5000F01B99 /* EightQueens */ = {
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EACAF1A61B16BD5000F01B99 /* main.swift */,
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EACAF1AD1B16BD6700F01B99 /* Queen.swift */,
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);
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path = EightQueens;
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};
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buildRules = (
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dependencies = (
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);
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name = EightQueens;
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productName = EightQueens;
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productReference = EACAF1A31B16BD5000F01B99 /* EightQueens */;
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productType = "com.apple.product-type.tool";
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};
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/* Begin PBXProject section */
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EACAF19B1B16BD5000F01B99 /* Project object */ = {
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isa = PBXProject;
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attributes = {
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LastUpgradeCheck = 0630;
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ORGANIZATIONNAME = "Donald Burr";
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TargetAttributes = {
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EACAF1A21B16BD5000F01B99 = {
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compatibilityVersion = "Xcode 3.2";
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developmentRegion = English;
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projectDirPath = "";
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projectRoot = "";
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targets = (
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EACAF1A21B16BD5000F01B99 /* EightQueens */,
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MTL_ENABLE_DEBUG_INFO = YES;
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ONLY_ACTIVE_ARCH = YES;
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SDKROOT = macosx;
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SWIFT_OPTIMIZATION_LEVEL = "-Onone";
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CLANG_CXX_LIBRARY = "libc++";
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CLANG_ENABLE_MODULES = YES;
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CLANG_ENABLE_OBJC_ARC = YES;
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CLANG_WARN_BOOL_CONVERSION = YES;
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CLANG_WARN_CONSTANT_CONVERSION = YES;
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CLANG_WARN_DIRECT_OBJC_ISA_USAGE = YES_ERROR;
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CLANG_WARN_EMPTY_BODY = YES;
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CLANG_WARN_ENUM_CONVERSION = YES;
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CLANG_WARN_INT_CONVERSION = YES;
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CLANG_WARN_OBJC_ROOT_CLASS = YES_ERROR;
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CLANG_WARN_UNREACHABLE_CODE = YES;
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CLANG_WARN__DUPLICATE_METHOD_MATCH = YES;
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COPY_PHASE_STRIP = NO;
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DEBUG_INFORMATION_FORMAT = "dwarf-with-dsym";
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GCC_C_LANGUAGE_STANDARD = gnu99;
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GCC_NO_COMMON_BLOCKS = YES;
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GCC_WARN_64_TO_32_BIT_CONVERSION = YES;
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GCC_WARN_ABOUT_RETURN_TYPE = YES_ERROR;
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GCC_WARN_UNDECLARED_SELECTOR = YES;
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GCC_WARN_UNINITIALIZED_AUTOS = YES_AGGRESSIVE;
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GCC_WARN_UNUSED_FUNCTION = YES;
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GCC_WARN_UNUSED_VARIABLE = YES;
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MACOSX_DEPLOYMENT_TARGET = 10.10;
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MTL_ENABLE_DEBUG_INFO = NO;
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SDKROOT = macosx;
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name = Release;
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/* End XCBuildConfiguration section */
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/* Begin XCConfigurationList section */
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EACAF19E1B16BD5000F01B99 /* Build configuration list for PBXProject "EightQueens" */ = {
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buildConfigurations = (
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EACAF1A81B16BD5000F01B99 /* Debug */,
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EACAF1A91B16BD5000F01B99 /* Release */,
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EACAF1AA1B16BD5000F01B99 /* Build configuration list for PBXNativeTarget "EightQueens" */ = {
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buildConfigurations = (
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EACAF1AC1B16BD5000F01B99 /* Release */,
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/* End XCConfigurationList section */
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rootObject = EACAF19B1B16BD5000F01B99 /* Project object */;
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}
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7
EightQueens-OSX-Swift/EightQueens.xcodeproj/project.xcworkspace/contents.xcworkspacedata
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EightQueens-OSX-Swift/EightQueens.xcodeproj/project.xcworkspace/contents.xcworkspacedata
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<?xml version="1.0" encoding="UTF-8"?>
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<Workspace
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version = "1.0">
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<FileRef
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location = "self:EightQueens.xcodeproj">
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</FileRef>
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</Workspace>
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19
EightQueens-OSX-Swift/EightQueens/Queen.swift
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EightQueens-OSX-Swift/EightQueens/Queen.swift
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//
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// Queen.swift
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// EightQueens
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//
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// Created by Donald Burr on 5/27/15.
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// Copyright (c) 2015 Donald Burr. All rights reserved.
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//
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import Foundation
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class Queen {
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var row: Int
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var column: Int
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init(forRow: Int) {
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row = forRow
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column = 0
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}
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}
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80
EightQueens-OSX-Swift/EightQueens/main.swift
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//
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// main.swift
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// EightQueens
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//
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// Created by Donald Burr on 5/27/15.
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// Copyright (c) 2015 Donald Burr. All rights reserved.
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//
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import Foundation
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var solutionsFound = 0
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var positionsChecked = 0
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// create 8 queen objects, place them one per row
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let myQueens = map(0...7) { Queen(forRow: $0) }
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func isSafe(currentRow: Int, currentColumn: Int) -> Bool {
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positionsChecked++
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// iterate over all queens in previous rows
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for previousRow in 0..<currentRow {
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// check vertical: are we trying to place in the same column as a previously placed queen?
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if myQueens[previousRow].column == currentColumn {
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return false
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}
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// check diagonal
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let differenceInRows = currentRow - previousRow
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let differenceInColumns = currentColumn - myQueens[previousRow].column
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if (differenceInRows == differenceInColumns || differenceInRows == -differenceInColumns) {
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return false
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}
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}
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// compared all previous queens, no conflict
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myQueens[currentRow].column = currentColumn
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return true
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}
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func moveQueenAcrossRow(row: Int) {
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for column in 0...7 {
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// move queen column by column, checking if it's safe
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if isSafe(row, column) {
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// if we just placed the 8th queen, we have a result!
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if row == 7 {
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solutionsFound++
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printAnswer()
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} else {
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// recursive call - now move the queen to the NEXT row
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moveQueenAcrossRow(row+1)
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}
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}
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}
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}
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func printAnswer() {
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println("SOLUTION #\(solutionsFound)")
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println()
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// go backwards to print from top down
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for currentRow in reverse(0...7) {
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// print row number (using chess numbering)
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print(currentRow+1)
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for currentColumn in 0...7 {
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if (myQueens[currentRow].column == currentColumn) {
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print(" Q ")
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} else {
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print(" . ")
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}
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}
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println()
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}
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println(" A B C D E F G H ")
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println()
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}
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// start by trying to move queen across row 0
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moveQueenAcrossRow(0)
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// that's it
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println("POSITIONS CHECKED: \(positionsChecked)")
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99
EightQueens-python/EightQueens.py
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99
EightQueens-python/EightQueens.py
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# Eight Queens
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# a solution to the Eight Queens problem written in Python
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# by Donald Burr <dburr@borg-cube.com>
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#
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# more on the Eight Queens problem:
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# http://en.wikipedia.org/wiki/Eight_queens_puzzle
|
||||||
|
|
||||||
|
import cProfile
|
||||||
|
|
||||||
|
# a simple class to represent a Queen
|
||||||
|
class Queen:
|
||||||
|
def __init__(self, row):
|
||||||
|
self.row = row
|
||||||
|
self.column = 0
|
||||||
|
|
||||||
|
# Array to hold our 8 queens
|
||||||
|
# we're starting off by placing each queen on a separate row
|
||||||
|
queens = []
|
||||||
|
for row in range(8):
|
||||||
|
queens.append(Queen(row))
|
||||||
|
|
||||||
|
# some variables to keep some interesting statistics
|
||||||
|
solutions_found = 0
|
||||||
|
positions_checked = 0
|
||||||
|
|
||||||
|
# test the queen at a given row to see if it is safe at a given column
|
||||||
|
def is_safe(current_row, current_column):
|
||||||
|
global positions_checked
|
||||||
|
global queens
|
||||||
|
|
||||||
|
positions_checked = positions_checked + 1
|
||||||
|
|
||||||
|
for previous_row in range(current_row):
|
||||||
|
# check vertically: are we trying to place in the same column as a previously placed queen?
|
||||||
|
if queens[previous_row].column == current_column:
|
||||||
|
# bzzt - not safe!
|
||||||
|
return False
|
||||||
|
|
||||||
|
# now check diagonally
|
||||||
|
difference_in_rows = current_row - previous_row
|
||||||
|
difference_in_columns = current_column - queens[previous_row].column
|
||||||
|
if difference_in_rows == difference_in_columns or difference_in_rows == -difference_in_columns:
|
||||||
|
# bzzt, not safe!
|
||||||
|
return False
|
||||||
|
|
||||||
|
# we've compared against all queens, so we must be good
|
||||||
|
# place the queen and we're outta here!
|
||||||
|
queens[current_row].column = current_column
|
||||||
|
return True
|
||||||
|
|
||||||
|
# recursively try moving a queen across all columns
|
||||||
|
def move_queen_across_row(row):
|
||||||
|
global solutions_found
|
||||||
|
|
||||||
|
for column in range(8):
|
||||||
|
# move queen column by column, checking if it's safe
|
||||||
|
if is_safe(row, column):
|
||||||
|
# if we just placed the last queen, we've got a solution
|
||||||
|
if row == 7:
|
||||||
|
solutions_found = solutions_found + 1
|
||||||
|
print_answer()
|
||||||
|
else:
|
||||||
|
# recursive call - now move the queen to the NEXT row
|
||||||
|
move_queen_across_row(row+1)
|
||||||
|
|
||||||
|
# print out a solution once we've found it
|
||||||
|
def print_answer():
|
||||||
|
global solutions_found
|
||||||
|
global queens
|
||||||
|
|
||||||
|
print "SOLUTION #%d\n" % solutions_found
|
||||||
|
# rows are in reverse order
|
||||||
|
for current_row in reversed(range(8)):
|
||||||
|
# print row number (using chess numbering)
|
||||||
|
print "%d" % (current_row+1),
|
||||||
|
for current_column in range(8):
|
||||||
|
if queens[current_row].column == current_column:
|
||||||
|
print " Q ",
|
||||||
|
else:
|
||||||
|
print " . ",
|
||||||
|
|
||||||
|
print
|
||||||
|
|
||||||
|
print " A B C D E F G H \n\n"
|
||||||
|
|
||||||
|
##### end of functions
|
||||||
|
##### main code (such as it is) below here
|
||||||
|
##### putting it in a function so we can profile just for the halibut
|
||||||
|
|
||||||
|
def main():
|
||||||
|
# kick things off by trying to move the first queen
|
||||||
|
move_queen_across_row(0)
|
||||||
|
|
||||||
|
# all solutions have been found
|
||||||
|
print "POSITIONS CHECKED: %d\n\n" % positions_checked
|
||||||
|
|
||||||
|
# the REAL start of the code
|
||||||
|
# just profile it
|
||||||
|
cProfile.run('main()')
|
Loading…
Add table
Add a link
Reference in a new issue