solve.go
author Mikael Berthe <mikael@lilotux.net>
Sat, 07 Apr 2018 22:28:50 +0200
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parent 10 8dc05ff5dbe2
permissions -rw-r--r--
Add README and Travis file Add stuff for the Github mirror (README, Travis file and gitignore files).
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// Copyright (C) 2016 Mikael Berthe <mikael@lilotux.net>. All rights reserved.
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// Use of this source code is governed by the MIT license,
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// which can be found in the LICENSE file.
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package takuzu
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// This file contains the methods used to solve a takuzu puzzle.
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import (
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	"fmt"
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	"log"
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	"runtime"
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	"sync"
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	"time"
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	"github.com/pkg/errors"
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)
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var verbosity int
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var schrodLvl uint
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// SetVerbosityLevel initializes the verbosity level of the resolution
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// routines.
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func SetVerbosityLevel(level int) {
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	verbosity = level
0
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}
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// SetSchrodingerLevel initializes the "Schrödinger" level (0 means disabled)
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// It must be called before any board generation or reduction.
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func SetSchrodingerLevel(level uint) {
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	schrodLvl = level
0
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}
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func (b Takuzu) guessPos(l, c int) int {
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	if b.Board[l][c].Defined {
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		return b.Board[l][c].Value
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	}
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	bx := b.Clone()
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	bx.Set(l, c, 0)
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	bx.FillLineColumn(l, c)
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	if bx.CheckLine(l) != nil || bx.CheckColumn(c) != nil {
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		return 1
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	}
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	Copy(&b, &bx)
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	bx.Set(l, c, 1)
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	bx.FillLineColumn(l, c)
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	if bx.CheckLine(l) != nil || bx.CheckColumn(c) != nil {
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		return 0
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	}
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	return -1 // dunno
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}
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// TrivialHint returns the coordinates and the value of the first cell that
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// can be guessed using trivial methods.
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// It returns {-1, -1, -1} if none can be found.
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func (b Takuzu) TrivialHint() (line, col, value int) {
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	for line = 0; line < b.Size; line++ {
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		for col = 0; col < b.Size; col++ {
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			if b.Board[line][col].Defined {
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				continue
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			}
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			if value = b.guessPos(line, col); value != -1 {
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				return
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			}
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		}
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	}
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	value, line, col = -1, -1, -1
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	return
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}
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0
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// trySolveTrivialPass does 1 pass over the takuzu board and tries to find
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// values using simple guesses.
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func (b Takuzu) trySolveTrivialPass() (changed bool) {
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	for line := 0; line < b.Size; line++ {
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		for col := 0; col < b.Size; col++ {
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			if b.Board[line][col].Defined {
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				continue
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			}
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			if guess := b.guessPos(line, col); guess != -1 {
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				b.Set(line, col, guess)
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				if verbosity > 3 {
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					log.Printf("Trivial: Setting [%d,%d] to %d", line, col, guess)
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				}
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				changed = true // Ideally remember l,c
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			}
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		}
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	}
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	return changed
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}
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// TrySolveTrivial tries to solve the takuzu using a loop over simple methods
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// It returns true if all cells are defined, and an error if the grid breaks the rules.
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func (b Takuzu) TrySolveTrivial() (bool, error) {
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	for {
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		changed := b.trySolveTrivialPass()
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		if verbosity > 3 {
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			var status string
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			if changed {
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				status = "ongoing"
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			} else {
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				status = "stuck"
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			}
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			log.Println("Trivial resolution -", status)
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		}
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		if !changed {
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			break
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		}
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		if verbosity > 3 {
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			b.DumpBoard()
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			fmt.Println()
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		}
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	}
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	full, err := b.Validate()
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	if err != nil {
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		return full, errors.Wrap(err, "the takuzu looks wrong")
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	}
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	return full, nil
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}
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// TrySolveRecurse tries to solve the takuzu recursively, using trivial
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// method first and using guesses if it fails.
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func (b Takuzu) TrySolveRecurse(allSolutions *[]Takuzu, timeout time.Duration) (*Takuzu, error) {
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	var solutionsMux sync.Mutex
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	var singleSolution *Takuzu
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	var solutionMap map[string]*Takuzu
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	var globalSearch bool
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	// globalSearch doesn't need to use a mutex and is more convenient
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	// to use than allSolutions.
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	if allSolutions != nil {
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		globalSearch = true
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		solutionMap = make(map[string]*Takuzu)
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	}
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	startTime := time.Now()
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	var recurseSolve func(level int, t Takuzu, errStatus chan<- error) error
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	recurseSolve = func(level int, t Takuzu, errStatus chan<- error) error {
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		reportStatus := func(failure error) {
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			// Report status to the caller's channel
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			if errStatus != nil {
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				errStatus <- failure
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			}
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		}
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		// In Schröndinger mode we check concurrently both values for a cell
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		var schrodinger bool
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		concurrentRoutines := 1
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		if level < int(schrodLvl) {
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			schrodinger = true
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			concurrentRoutines = 2
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		}
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		var status [2]chan error
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		status[0] = make(chan error)
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		status[1] = make(chan error)
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		for {
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			// Try simple resolution first
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			full, err := t.TrySolveTrivial()
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			if err != nil {
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				reportStatus(err)
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				return err
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			}
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			if full { // We're done
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				if verbosity > 1 {
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					log.Printf("{%d} The takuzu is correct and complete.", level)
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				}
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				solutionsMux.Lock()
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				singleSolution = &t
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				if globalSearch {
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					solutionMap[t.ToString()] = &t
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				}
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				solutionsMux.Unlock()
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				reportStatus(nil)
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				return nil
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			}
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			if verbosity > 2 {
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				log.Printf("{%d} Trivial resolution did not complete.", level)
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			}
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			// Trivial method is stuck, let's use recursion
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			changed := false
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			// Looking for first empty cell
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			var line, col int
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		firstClear:
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			for line = 0; line < t.Size; line++ {
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				for col = 0; col < t.Size; col++ {
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					if !t.Board[line][col].Defined {
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						break firstClear
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					}
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				}
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			}
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			if line == t.Size || col == t.Size {
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				break
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			}
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			if verbosity > 2 {
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				log.Printf("{%d} GUESS - Trying values for [%d,%d]", level, line, col)
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			}
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			var val int
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			err = nil
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			errCount := 0
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			for testval := 0; testval < 2; testval++ {
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				if !globalSearch && t.Board[line][col].Defined {
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					// No need to "guess" here anymore
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					break
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				}
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				// Launch goroutines for cell values of 0 and/or 1
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				for testCase := 0; testCase < 2; testCase++ {
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					if schrodinger || testval == testCase {
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						tx := t.Clone()
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						tx.Set(line, col, testCase)
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						go recurseSolve(level+1, tx, status[testCase])
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					}
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				}
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				// Let's collect the goroutines' results
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				for i := 0; i < concurrentRoutines; i++ {
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					if schrodinger && verbosity > 1 { // XXX
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						log.Printf("{%d} Schrodinger waiting for result #%d for cell [%d,%d]", level, i, line, col)
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					}
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					select {
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					case e := <-status[0]:
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						err = e
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						val = 0
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					case e := <-status[1]:
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						err = e
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						val = 1
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					}
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					if schrodinger && verbosity > 1 { // XXX
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						log.Printf("{%d} Schrodinger result #%d/2 for cell [%d,%d]=%d - err=%v", level, i+1, line, col, val, err)
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					}
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					if err == nil {
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						if !globalSearch {
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							reportStatus(nil)
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							if i+1 < concurrentRoutines {
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								// Schröndinger mode and we still have one status to fetch
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								<-status[1-val]
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							}
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							return nil
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						}
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						continue
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					}
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					if timeout > 0 && level > 2 && time.Since(startTime) > timeout {
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						if errors.Cause(err).Error() != "timeout" {
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							if verbosity > 0 {
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								log.Printf("{%d} Timeout, giving up", level)
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							}
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							err := errors.New("timeout")
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							reportStatus(err)
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							if i+1 < concurrentRoutines {
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								// Schröndinger mode and we still have one status to fetch
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								<-status[1-val]
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							}
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							// XXX actually can't close the channel and leave, can I?
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							return err
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						}
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					}
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					// err != nil: we can set a value --  unless this was a timeout
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					if errors.Cause(err).Error() == "timeout" {
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						if verbosity > 1 {
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							log.Printf("{%d} Timeout propagation", level)
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						}
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						reportStatus(err)
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						if i+1 < concurrentRoutines {
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							// Schröndinger mode and we still have one status to fetch
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							<-status[1-val]
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						}
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						// XXX actually can't close the channel and leave, can I?
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						return err
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					}
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					errCount++
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					if verbosity > 2 {
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						log.Printf("{%d} Bad outcome (%v)", level, err)
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						log.Printf("{%d} GUESS was wrong - Setting [%d,%d] to %d",
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							level, line, col, 1-val)
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					}
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					t.Set(line, col, 1-val)
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					changed = true
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				} // concurrentRoutines
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				if (changed && !globalSearch) || schrodinger {
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					// Let's loop again with the new board
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					break
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				}
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			}
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			if verbosity > 2 {
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				log.Printf("{%d} End of cycle.\n\n", level)
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			}
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			if errCount == 2 {
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				// Both values failed
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				err := errors.New("dead end")
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				reportStatus(err)
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				return err
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			}
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			// If we cannot fill more cells (!changed) or if we've made a global search with
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			// both values, the search is complete.
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			if schrodinger || globalSearch || !changed {
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				break
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			}
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			if verbosity > 2 {
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				t.DumpBoard()
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				fmt.Println()
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			}
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		}
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		// Try to force garbage collection
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		runtime.GC()
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		full, err := t.Validate()
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		if err != nil {
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			if verbosity > 1 {
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				log.Println("The takuzu looks wrong - ", err)
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			}
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			err := errors.Wrap(err, "the takuzu looks wrong")
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			reportStatus(err)
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			return err
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		}
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		if full {
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			if verbosity > 1 {
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				log.Println("The takuzu is correct and complete")
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			}
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			solutionsMux.Lock()
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			singleSolution = &t
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			if globalSearch {
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				solutionMap[t.ToString()] = &t
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			}
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			solutionsMux.Unlock()
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		}
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		reportStatus(nil)
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		return nil
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	}
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	status := make(chan error)
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	go recurseSolve(0, b, status)
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	err := <-status // Wait for it...
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	firstSol := singleSolution
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	if globalSearch {
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		for _, tp := range solutionMap {
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			*allSolutions = append(*allSolutions, *tp)
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		}
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	}
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	if err != nil {
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		return firstSol, err
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	}
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   376
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   377
	if globalSearch && len(*allSolutions) > 0 {
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		firstSol = &(*allSolutions)[0]
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   379
	}
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	return firstSol, nil
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   381
}