solve.go
author Mikael Berthe <mikael@lilotux.net>
Sat, 07 Apr 2018 22:49:51 +0200
changeset 15 eac7d78ff641
parent 10 8dc05ff5dbe2
permissions -rw-r--r--
Update gotak import path to fix Travis build Update import path in the gotak subdir so that Travis tests can be played against the Github repository. Also, add missing dependencies to the Travis YAML file.
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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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	if globalSearch && len(*allSolutions) > 0 {
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		firstSol = &(*allSolutions)[0]
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	}
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	return firstSol, nil
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   381
}