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64 lines
1.8 KiB
Lua
64 lines
1.8 KiB
Lua
%import textio
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; Recursive N-Queens solver.
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; The problem is: find all possible ways to place 8 Queen chess pieces on a chess board, so that none of them attacks any other.
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; (this program prints all solutions without taking mirroring and flipping the chess board into account)
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; Note: this program can be compiled for multiple target systems.
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queens {
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const ubyte NUMQUEENS=8
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ubyte[NUMQUEENS] board
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sub could_place(ubyte row, ubyte col) -> bool {
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if row==0
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return true
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ubyte i
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for i in 0 to row-1 {
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if board[i]==col or board[i]-i==col-row or board[i]+i==col+row
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return false
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}
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return true
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}
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uword solution_count
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uword maximum_duration
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sub place_queen(ubyte row) -> bool {
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if row == NUMQUEENS {
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solution_count++
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txt.chrout('.')
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return cbm.RDTIM16()<maximum_duration
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}
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bool continue_running=true
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ubyte col
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for col in 0 to NUMQUEENS-1 {
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if could_place(row, col) {
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board[row] = col
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; we need to save the local variables row and col.
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sys.push(row)
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sys.push(col)
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continue_running = place_queen(row + 1)
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; restore the local variables after the recursive call.
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col = sys.pop()
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row = sys.pop()
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board[row] = 0
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if not continue_running
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break
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}
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}
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return continue_running
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}
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sub bench(uword max_time) -> uword {
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solution_count = 0
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maximum_duration = max_time
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txt.nl()
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cbm.SETTIM(0,0,0)
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while cbm.RDTIM16() < maximum_duration {
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void place_queen(0)
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}
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return solution_count
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}
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}
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