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ナンプレを解くプログラム
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,,,,,3,1,, | |
1,,7,,9,,,, | |
3,8,,1,,,,, | |
7,1,,,,,,4,2 | |
,,,,2,,5,8, | |
8,,2,,,5,,, | |
,,,,,2,9,6, | |
,,4,,8,,,, | |
,,,5,,,,3,4 |
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def readfile( fn ) | |
fp = open( fn ) | |
str = "" | |
fp.each_line.map { |ln| | |
ln.split(",").map { |n| n.to_i } | |
} | |
end | |
def solveNumPlace(problem, stack) | |
memory = {candidate: [], row: 0, col: 0, problem: []} | |
filled = true | |
isCandidateEmpty = false | |
while filled | |
filled = false | |
(0..8).each{|i| | |
(0..8).each{|j| | |
candidate = getCandidates(i, j, problem) | |
if problem[i][j] == 0 | |
if candidate.size == 1 | |
problem[i][j] = candidate[0] | |
filled = true | |
elsif candidate.size > 1 | |
memory[:candidate] = candidate | |
memory[:row] = i | |
memory[:col] = j | |
elsif candidate.size == 0 | |
isCandidateEmpty = true | |
end | |
end | |
} | |
} | |
end | |
if (0..8).all?{|i| (problem[i] - [1,2,3,4,5,6,7,8,9]).empty?} | |
puts "solved" | |
outputResult(problem) | |
else | |
new_num = 0 | |
new_row = 0 | |
new_col = 0 | |
if isCandidateEmpty | |
removed = stack.pop | |
if removed == nil | |
puts "stack is nil" | |
return | |
end | |
problem = removed[:problem] | |
new_num = removed[:candidate][0] | |
new_row = removed[:row] | |
new_col = removed[:col] | |
memory[:candidate] = removed[:candidate] - [new_num] | |
if memory[:candidate].size > 0 | |
memory[:row] = new_row | |
memory[:col] = new_col | |
memory[:problem] = (0..8).map{|i| problem[i].dup} | |
stack.push(memory) | |
end | |
else | |
new_num = memory[:candidate][0] | |
new_row = memory[:row] | |
new_col = memory[:col] | |
memory[:candidate] = memory[:candidate] - [new_num] | |
memory[:problem] = (0..8).map{|i| problem[i].dup} | |
stack.push(memory) | |
end | |
problem[new_row][new_col] = new_num | |
solveNumPlace(problem, stack) | |
end | |
end | |
def outputResult(problem) | |
(0..8).each{|i| | |
(0..8).each{|j| | |
$stdout << problem[i][j] << " " | |
} | |
$stdout << "\n" | |
} | |
end | |
def getCandidates(row, col, problem) | |
candidate = [1,2,3,4,5,6,7,8,9] | |
if problem[row][col] != 0 | |
candidate = [] | |
end | |
candidate = checkRow(row, candidate, problem) | |
candidate = checkCol(col, candidate, problem) | |
candidate = checkBox(row, col, candidate, problem) | |
end | |
def checkRow(row, candidate, problem) | |
candidate - problem[row] | |
end | |
def checkCol(col, candidate, problem) | |
candidate - (0..8).map{|i| problem[i][col]} | |
end | |
def checkBox(row, col, candidate, problem) | |
row_s = row - row % 3 | |
col_s = col - col % 3 | |
mat = problem[row_s,3].inject([]){|mat, x| mat + x[col_s,3]} | |
candidate - mat | |
end | |
np = readfile("./numpla") | |
stack = [] | |
solveNumPlace(np, stack) |
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