Created
March 9, 2018 13:16
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local field = {} | |
for i = 1, 9 do | |
local buf = io.read() | |
field[i] = {} | |
for j = 1, 9 do | |
field[i][j] = tonumber(buf:sub(j, j)) | |
end | |
end | |
local function print_field(field) | |
for i = 1, 9 do | |
for j = 1, 9 do | |
if field[i][j] == nil then | |
io.write(". ") | |
else | |
io.write(tostring(field[i][j]) .. " ") | |
end | |
if j % 3 == 0 then | |
if j ~= 9 then | |
io.write("| ") | |
else | |
io.write("\n") | |
end | |
end | |
end | |
if i % 3 == 0 and i ~= 9 then | |
io.write(("-"):rep(6).."+"..("-"):rep(7).."+"..("-"):rep(6).."\n") | |
end | |
end | |
end | |
function solve(field, xi, yi) | |
xi = xi or 1 | |
yi = yi or 1 | |
if yi > 9 then | |
return true | |
elseif field[yi][xi] ~= nil then | |
if xi == 9 then | |
if solve(field, 1, yi + 1) then | |
return true | |
end | |
else | |
if solve(field, xi + 1, yi) then | |
return true | |
end | |
end | |
else | |
for i = 1, 9 do | |
if check(field, xi, yi, i) then | |
field[yi][xi] = i | |
if xi == 9 then | |
if solve(field, 1, yi + 1) then | |
return true | |
end | |
else | |
if solve(field, xi + 1, yi) then | |
return true | |
end | |
end | |
end | |
end | |
field[yi][xi] = nil | |
return false | |
end | |
return false | |
end | |
function check(field, xi, yi, i) | |
for j = 1, 9 do | |
if field[yi][j] == i then | |
return false | |
end | |
end | |
for j = 1, 9 do | |
if field[j][xi] == i then | |
return false | |
end | |
end | |
local xb = ((xi - 1) // 3) * 3 + 1 | |
local yb = ((yi - 1) // 3) * 3 + 1 | |
for xii = xb, xb + 2 do | |
for yii = yb, yb + 2 do | |
if field[yii][xii] == i then | |
return false | |
end | |
end | |
end | |
return true | |
end | |
local b = solve(field) | |
print_field(field) |
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