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September 30, 2020 15:01
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N-Queens in Lua and Fennel
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(global N 12) | |
(fn place-ok? [a n c] | |
(var ok? true) | |
(var i 1) | |
(while (and ok? (< i n)) | |
(set ok? (not (or (= (. a i) c) | |
(= (- (. a i) i) (- c n)) | |
(= (+ (. a i) i) (+ c n))))) | |
(set i (+ 1 i))) | |
ok?) | |
(fn print-solution [a] | |
(for [i 1 N] | |
(for [j 1 N] | |
(io.write (if (= (. a i) j) "X" "-") " ")) | |
(print)) | |
(print)) | |
(fn add-queen [a n] | |
(if (> n N) | |
(do | |
(print-solution a)) | |
(for [c 1 N] | |
(when (place-ok? a n c) | |
(do | |
(tset a n c) | |
(add-queen a (+ 1 n))))))) | |
(add-queen [] 1) |
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-- Copied verbatim from Programming in Lua, 4th edition | |
-- board size | |
N = 12 | |
-- check whether position (n,c) is free from attacks | |
function isplaceok(a, n, c) | |
for i = 1, n - 1 do | |
if (a[i] == c) or -- same column? | |
(a[i] - i == c - n) or -- same diagonal? | |
(a[i] + i == c + n) then -- same diagonal? | |
return false | |
end | |
end | |
return true | |
end | |
function printsolution(a) | |
for i=1,N do | |
for j=1,N do | |
io.write(a[i] == j and "X" or "-", " ") | |
end | |
io.write("\n") | |
end | |
io.write("\n") | |
end | |
-- add to board 'a' all queens from 'n' to 'N' | |
function addqueen(a, n) | |
if n > N then | |
printsolution(a) | |
else | |
for c = 1, N do | |
if isplaceok(a, n, c) then | |
a[n] = c | |
addqueen(a, n + 1) | |
end | |
end | |
end | |
end | |
-- run the program | |
addqueen({}, 1) |
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