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Task/15-puzzle-solver/Phix/15-puzzle-solver-1.phix
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Task/15-puzzle-solver/Phix/15-puzzle-solver-1.phix
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-->
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<span style="color: #000080;font-style:italic;">-- demo\rosetta\Solve15puzzle.exw</span>
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<span style="color: #008080;">constant</span> <span style="color: #000000;">STM</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span> <span style="color: #000080;font-style:italic;">-- single-tile metrics.</span>
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<span style="color: #008080;">constant</span> <span style="color: #000000;">MTM</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span> <span style="color: #000080;font-style:italic;">-- multi-tile metrics.</span>
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<span style="color: #008080;">if</span> <span style="color: #000000;">STM</span> <span style="color: #008080;">and</span> <span style="color: #000000;">MTM</span> <span style="color: #008080;">then</span> <span style="color: #0000FF;">?<span style="color: #000000;">9<span style="color: #0000FF;">/<span style="color: #000000;">0</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span> <span style="color: #000080;font-style:italic;">-- both prohibited
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-- 0 0 -- fastest, but non-optimal
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-- 1 0 -- optimal in STM
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-- 0 1 -- optimal in MTM (slowest by far)
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--Note: The fast method uses an inadmissible heuristic - see "not STM" in iddfs().
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-- It explores mtm-style using the higher stm heuristic and may therefore
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-- fail badly in some cases.</span>
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<span style="color: #008080;">constant</span> <span style="color: #000000;">SIZE</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">4</span>
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<span style="color: #008080;">constant</span> <span style="color: #000000;">goal</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{</span> <span style="color: #000000;">1<span style="color: #0000FF;">,</span> <span style="color: #000000;">2<span style="color: #0000FF;">,</span> <span style="color: #000000;">3<span style="color: #0000FF;">,</span> <span style="color: #000000;">4<span style="color: #0000FF;">,</span>
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<span style="color: #000000;">5<span style="color: #0000FF;">,</span> <span style="color: #000000;">6<span style="color: #0000FF;">,</span> <span style="color: #000000;">7<span style="color: #0000FF;">,</span> <span style="color: #000000;">8<span style="color: #0000FF;">,</span>
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<span style="color: #000000;">9<span style="color: #0000FF;">,<span style="color: #000000;">10<span style="color: #0000FF;">,<span style="color: #000000;">11<span style="color: #0000FF;">,<span style="color: #000000;">12<span style="color: #0000FF;">,</span>
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<span style="color: #000000;">13<span style="color: #0000FF;">,<span style="color: #000000;">14<span style="color: #0000FF;">,<span style="color: #000000;">15<span style="color: #0000FF;">,</span> <span style="color: #000000;">0<span style="color: #0000FF;">}</span>
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<span style="color: #000080;font-style:italic;">--
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-- multi-tile-metric walking distance heuristic lookup (mmwd).
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-- ==========================================================
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-- Uses patterns of counts of tiles in/from row/col, eg the solved state
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-- (ie goal above) could be represented by the following:
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-- {{4,0,0,0},
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-- {0,4,0,0},
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-- {0,0,4,0},
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-- {0,0,0,3}}
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-- ie row/col 1 contains 4 tiles from col/row 1, etc. In this case
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-- both are identical, but you can count row/col or col/row, and then
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-- add them together. There are up to 24964 possible patterns. The
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-- blank space is not counted. Note that a vertical move cannot change
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-- a vertical pattern, ditto horizontal, and basic symmetry means that
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-- row/col and col/row patterns will match (at least, that is, if they
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-- are calculated sympathetically), halving the setup cost.
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-- The data is just the number of moves made before this pattern was
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-- first encountered, in a breadth-first search, backwards from the
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-- goal state, until all patterns have been enumerated.
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-- (The same ideas/vars are now also used for stm metrics when MTM=0)
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--</span>
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<span style="color: #004080;">sequence</span> <span style="color: #000000;">wdkey</span> <span style="color: #000080;font-style:italic;">-- one such 4x4 pattern</span>
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<span style="color: #008080;">constant</span> <span style="color: #000000;">mmwd</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">new_dict<span style="color: #0000FF;">(<span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- lookup table, data is walking distance.
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--
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-- We use two to-do lists: todo is the current list, and everything
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-- of walkingdistance+1 ends up on tdnx. Once todo is exhausted, we
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-- swap the dictionary-ids, so tdnx automatically becomes empty.
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-- Key is an mmwd pattern as above, and data is {distance,space_idx}.
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--</span>
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<span style="color: #004080;">integer</span> <span style="color: #000000;">todo</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">new_dict<span style="color: #0000FF;">(<span style="color: #0000FF;">)</span>
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<span style="color: #004080;">integer</span> <span style="color: #000000;">tdnx</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">new_dict<span style="color: #0000FF;">(<span style="color: #0000FF;">)</span>
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<span style="color: #000080;font-style:italic;">--</span>
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<span style="color: #008080;">enum</span> <span style="color: #000000;">UP</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">1<span style="color: #0000FF;">,</span> <span style="color: #000000;">DOWN</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">-<span style="color: #000000;">1</span>
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<span style="color: #008080;">procedure</span> <span style="color: #000000;">explore<span style="color: #0000FF;">(<span style="color: #004080;">integer</span> <span style="color: #000000;">space_idx<span style="color: #0000FF;">,</span> <span style="color: #000000;">walking_distance<span style="color: #0000FF;">,</span> <span style="color: #000000;">direction<span style="color: #0000FF;">)</span>
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<span style="color: #000080;font-style:italic;">--
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-- Given a space index, explore all the possible moves in direction,
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-- setting the distance and extending the tdnx table.
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--</span>
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<span style="color: #004080;">integer</span> <span style="color: #000000;">tile_idx</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">space_idx<span style="color: #0000FF;">+<span style="color: #000000;">direction</span>
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<span style="color: #008080;">for</span> <span style="color: #000000;">group<span style="color: #0000FF;">=<span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #000000;">SIZE</span> <span style="color: #008080;">do</span>
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<span style="color: #008080;">if</span> <span style="color: #000000;">wdkey<span style="color: #0000FF;">[<span style="color: #000000;">tile_idx<span style="color: #0000FF;">]<span style="color: #0000FF;">[<span style="color: #000000;">group<span style="color: #0000FF;">]</span> <span style="color: #008080;">then</span>
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<span style="color: #000080;font-style:italic;">-- ie: check row tile_idx for tiles belonging to rows 1..4
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-- Swap one of those tiles with the space</span>
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<span style="color: #000000;">wdkey<span style="color: #0000FF;">[<span style="color: #000000;">tile_idx<span style="color: #0000FF;">]<span style="color: #0000FF;">[<span style="color: #000000;">group<span style="color: #0000FF;">]</span> <span style="color: #0000FF;">-=</span> <span style="color: #000000;">1</span>
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<span style="color: #000000;">wdkey<span style="color: #0000FF;">[<span style="color: #000000;">space_idx<span style="color: #0000FF;">]<span style="color: #0000FF;">[<span style="color: #000000;">group<span style="color: #0000FF;">]</span> <span style="color: #0000FF;">+=</span> <span style="color: #000000;">1</span>
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<span style="color: #008080;">if</span> <span style="color: #7060A8;">getd_index<span style="color: #0000FF;">(<span style="color: #000000;">wdkey<span style="color: #0000FF;">,<span style="color: #000000;">mmwd<span style="color: #0000FF;">)<span style="color: #0000FF;">=<span style="color: #000000;">0</span> <span style="color: #008080;">then</span>
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<span style="color: #000080;font-style:italic;">-- save the walking distance value</span>
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<span style="color: #7060A8;">setd<span style="color: #0000FF;">(<span style="color: #000000;">wdkey<span style="color: #0000FF;">,<span style="color: #000000;">walking_distance<span style="color: #0000FF;">+<span style="color: #000000;">1<span style="color: #0000FF;">,<span style="color: #000000;">mmwd<span style="color: #0000FF;">)</span>
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<span style="color: #000080;font-style:italic;">-- and add to the todo next list:</span>
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<span style="color: #008080;">if</span> <span style="color: #7060A8;">getd_index<span style="color: #0000FF;">(<span style="color: #000000;">wdkey<span style="color: #0000FF;">,<span style="color: #000000;">tdnx<span style="color: #0000FF;">)<span style="color: #0000FF;">!=<span style="color: #000000;">0</span> <span style="color: #008080;">then</span> <span style="color: #0000FF;">?<span style="color: #000000;">9<span style="color: #0000FF;">/<span style="color: #000000;">0</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
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<span style="color: #7060A8;">setd<span style="color: #0000FF;">(<span style="color: #000000;">wdkey<span style="color: #0000FF;">,<span style="color: #0000FF;">{<span style="color: #000000;">walking_distance<span style="color: #0000FF;">+<span style="color: #000000;">1<span style="color: #0000FF;">,<span style="color: #000000;">tile_idx<span style="color: #0000FF;">}<span style="color: #0000FF;">,<span style="color: #000000;">tdnx<span style="color: #0000FF;">)</span>
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<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
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<span style="color: #008080;">if</span> <span style="color: #000000;">MTM</span> <span style="color: #008080;">then</span>
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<span style="color: #008080;">if</span> <span style="color: #000000;">tile_idx<span style="color: #0000FF;">><span style="color: #000000;">1</span> <span style="color: #008080;">and</span> <span style="color: #000000;">tile_idx<span style="color: #0000FF;"><<span style="color: #000000;">SIZE</span> <span style="color: #008080;">then</span>
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<span style="color: #000080;font-style:italic;">-- mtm: same direction means same distance:</span>
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<span style="color: #000000;">explore<span style="color: #0000FF;">(<span style="color: #000000;">tile_idx<span style="color: #0000FF;">,</span> <span style="color: #000000;">walking_distance<span style="color: #0000FF;">,</span> <span style="color: #000000;">direction<span style="color: #0000FF;">)</span>
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<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
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<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
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<span style="color: #000080;font-style:italic;">-- Revert the swap so we can look at the next candidate.</span>
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<span style="color: #000000;">wdkey<span style="color: #0000FF;">[<span style="color: #000000;">tile_idx<span style="color: #0000FF;">]<span style="color: #0000FF;">[<span style="color: #000000;">group<span style="color: #0000FF;">]</span> <span style="color: #0000FF;">+=</span> <span style="color: #000000;">1</span>
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<span style="color: #000000;">wdkey<span style="color: #0000FF;">[<span style="color: #000000;">space_idx<span style="color: #0000FF;">]<span style="color: #0000FF;">[<span style="color: #000000;">group<span style="color: #0000FF;">]</span> <span style="color: #0000FF;">-=</span> <span style="color: #000000;">1</span>
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<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
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<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
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<span style="color: #008080;">end</span> <span style="color: #008080;">procedure</span>
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<span style="color: #008080;">procedure</span> <span style="color: #000000;">generate_mmwd<span style="color: #0000FF;">(<span style="color: #0000FF;">)</span>
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<span style="color: #000080;font-style:italic;">-- Perform a breadth-first search begining with the solved puzzle state
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-- and exploring from there until no more new patterns emerge.</span>
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<span style="color: #004080;">integer</span> <span style="color: #000000;">walking_distance</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0<span style="color: #0000FF;">,</span> <span style="color: #000000;">space</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">4</span>
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<span style="color: #000000;">wdkey</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{<span style="color: #0000FF;">{<span style="color: #000000;">4<span style="color: #0000FF;">,<span style="color: #000000;">0<span style="color: #0000FF;">,<span style="color: #000000;">0<span style="color: #0000FF;">,<span style="color: #000000;">0<span style="color: #0000FF;">}<span style="color: #0000FF;">,</span> <span style="color: #000080;font-style:italic;">-- \</span>
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<span style="color: #0000FF;">{<span style="color: #000000;">0<span style="color: #0000FF;">,<span style="color: #000000;">4<span style="color: #0000FF;">,<span style="color: #000000;">0<span style="color: #0000FF;">,<span style="color: #000000;">0<span style="color: #0000FF;">}<span style="color: #0000FF;">,</span> <span style="color: #000080;font-style:italic;">-- } 4 tiles in correct row positions</span>
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<span style="color: #0000FF;">{<span style="color: #000000;">0<span style="color: #0000FF;">,<span style="color: #000000;">0<span style="color: #0000FF;">,<span style="color: #000000;">4<span style="color: #0000FF;">,<span style="color: #000000;">0<span style="color: #0000FF;">}<span style="color: #0000FF;">,</span> <span style="color: #000080;font-style:italic;">-- /</span>
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<span style="color: #0000FF;">{<span style="color: #000000;">0<span style="color: #0000FF;">,<span style="color: #000000;">0<span style="color: #0000FF;">,<span style="color: #000000;">0<span style="color: #0000FF;">,<span style="color: #000000;">3<span style="color: #0000FF;">}<span style="color: #0000FF;">}</span> <span style="color: #000080;font-style:italic;">-- 3 tiles in correct row position</span>
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<span style="color: #7060A8;">setd<span style="color: #0000FF;">(<span style="color: #000000;">wdkey<span style="color: #0000FF;">,<span style="color: #000000;">walking_distance<span style="color: #0000FF;">,<span style="color: #000000;">mmwd<span style="color: #0000FF;">)</span>
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<span style="color: #008080;">while</span> <span style="color: #000000;">1</span> <span style="color: #008080;">do</span>
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<span style="color: #008080;">if</span> <span style="color: #000000;">space<span style="color: #0000FF;"><<span style="color: #000000;">4</span> <span style="color: #008080;">then</span> <span style="color: #000000;">explore<span style="color: #0000FF;">(<span style="color: #000000;">space<span style="color: #0000FF;">,</span> <span style="color: #000000;">walking_distance<span style="color: #0000FF;">,</span> <span style="color: #000000;">UP<span style="color: #0000FF;">)</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
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<span style="color: #008080;">if</span> <span style="color: #000000;">space<span style="color: #0000FF;">><span style="color: #000000;">1</span> <span style="color: #008080;">then</span> <span style="color: #000000;">explore<span style="color: #0000FF;">(<span style="color: #000000;">space<span style="color: #0000FF;">,</span> <span style="color: #000000;">walking_distance<span style="color: #0000FF;">,</span> <span style="color: #000000;">DOWN<span style="color: #0000FF;">)</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
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<span style="color: #008080;">if</span> <span style="color: #7060A8;">dict_size<span style="color: #0000FF;">(<span style="color: #000000;">todo<span style="color: #0000FF;">)<span style="color: #0000FF;">=<span style="color: #000000;">0</span> <span style="color: #008080;">then</span>
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<span style="color: #008080;">if</span> <span style="color: #7060A8;">dict_size<span style="color: #0000FF;">(<span style="color: #000000;">tdnx<span style="color: #0000FF;">)<span style="color: #0000FF;">=<span style="color: #000000;">0</span> <span style="color: #008080;">then</span> <span style="color: #008080;">exit</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
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<span style="color: #0000FF;">{<span style="color: #000000;">todo<span style="color: #0000FF;">,<span style="color: #000000;">tdnx<span style="color: #0000FF;">}</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{<span style="color: #000000;">tdnx<span style="color: #0000FF;">,<span style="color: #000000;">todo<span style="color: #0000FF;">}</span>
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<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
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<span style="color: #000000;">wdkey</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">getd_partial_key<span style="color: #0000FF;">(<span style="color: #000000;">0<span style="color: #0000FF;">,<span style="color: #000000;">todo<span style="color: #0000FF;">)</span>
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<span style="color: #0000FF;">{<span style="color: #000000;">walking_distance<span style="color: #0000FF;">,<span style="color: #000000;">space<span style="color: #0000FF;">}</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">getd<span style="color: #0000FF;">(<span style="color: #000000;">wdkey<span style="color: #0000FF;">,<span style="color: #000000;">todo<span style="color: #0000FF;">)</span>
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<span style="color: #7060A8;">deld<span style="color: #0000FF;">(<span style="color: #000000;">wdkey<span style="color: #0000FF;">,<span style="color: #000000;">todo<span style="color: #0000FF;">)</span>
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<span style="color: #008080;">end</span> <span style="color: #008080;">while</span>
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<span style="color: #008080;">end</span> <span style="color: #008080;">procedure</span>
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<span style="color: #008080;">function</span> <span style="color: #000000;">walking_distance<span style="color: #0000FF;">(<span style="color: #004080;">sequence</span> <span style="color: #000000;">puzzle<span style="color: #0000FF;">)</span>
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<span style="color: #004080;">sequence</span> <span style="color: #000000;">rkey</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">repeat<span style="color: #0000FF;">(<span style="color: #7060A8;">repeat<span style="color: #0000FF;">(<span style="color: #000000;">0<span style="color: #0000FF;">,<span style="color: #000000;">SIZE<span style="color: #0000FF;">)<span style="color: #0000FF;">,<span style="color: #000000;">SIZE<span style="color: #0000FF;">)<span style="color: #0000FF;">,</span>
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<span style="color: #000000;">ckey</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">repeat<span style="color: #0000FF;">(<span style="color: #7060A8;">repeat<span style="color: #0000FF;">(<span style="color: #000000;">0<span style="color: #0000FF;">,<span style="color: #000000;">SIZE<span style="color: #0000FF;">)<span style="color: #0000FF;">,<span style="color: #000000;">SIZE<span style="color: #0000FF;">)</span>
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<span style="color: #004080;">integer</span> <span style="color: #000000;">k</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">1</span>
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<span style="color: #008080;">for</span> <span style="color: #000000;">i<span style="color: #0000FF;">=<span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #000000;">SIZE</span> <span style="color: #008080;">do</span> <span style="color: #000080;font-style:italic;">-- rows</span>
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<span style="color: #008080;">for</span> <span style="color: #000000;">j<span style="color: #0000FF;">=<span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #000000;">SIZE</span> <span style="color: #008080;">do</span> <span style="color: #000080;font-style:italic;">-- columns</span>
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<span style="color: #004080;">integer</span> <span style="color: #000000;">tile</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">puzzle<span style="color: #0000FF;">[<span style="color: #000000;">k<span style="color: #0000FF;">]</span>
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<span style="color: #008080;">if</span> <span style="color: #000000;">tile<span style="color: #0000FF;">!=<span style="color: #000000;">0</span> <span style="color: #008080;">then</span>
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<span style="color: #004080;">integer</span> <span style="color: #000000;">row</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">floor<span style="color: #0000FF;">(<span style="color: #0000FF;">(<span style="color: #000000;">tile<span style="color: #0000FF;">-<span style="color: #000000;">1<span style="color: #0000FF;">)<span style="color: #0000FF;">/<span style="color: #000000;">4<span style="color: #0000FF;">)<span style="color: #0000FF;">+<span style="color: #000000;">1<span style="color: #0000FF;">,</span>
|
||||
<span style="color: #000000;">col</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">mod<span style="color: #0000FF;">(<span style="color: #000000;">tile<span style="color: #0000FF;">-<span style="color: #000000;">1<span style="color: #0000FF;">,<span style="color: #000000;">4<span style="color: #0000FF;">)<span style="color: #0000FF;">+<span style="color: #000000;">1</span>
|
||||
<span style="color: #000000;">rkey<span style="color: #0000FF;">[<span style="color: #000000;">i<span style="color: #0000FF;">]<span style="color: #0000FF;">[<span style="color: #000000;">row<span style="color: #0000FF;">]</span> <span style="color: #0000FF;">+=</span> <span style="color: #000000;">1</span>
|
||||
<span style="color: #000000;">ckey<span style="color: #0000FF;">[<span style="color: #000000;">j<span style="color: #0000FF;">]<span style="color: #0000FF;">[<span style="color: #000000;">col<span style="color: #0000FF;">]</span> <span style="color: #0000FF;">+=</span> <span style="color: #000000;">1</span>
|
||||
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
|
||||
<span style="color: #000000;">k</span> <span style="color: #0000FF;">+=</span> <span style="color: #000000;">1</span>
|
||||
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
|
||||
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
|
||||
<span style="color: #008080;">if</span> <span style="color: #7060A8;">getd_index<span style="color: #0000FF;">(<span style="color: #000000;">rkey<span style="color: #0000FF;">,<span style="color: #000000;">mmwd<span style="color: #0000FF;">)<span style="color: #0000FF;">=<span style="color: #000000;">0</span>
|
||||
<span style="color: #008080;">or</span> <span style="color: #7060A8;">getd_index<span style="color: #0000FF;">(<span style="color: #000000;">ckey<span style="color: #0000FF;">,<span style="color: #000000;">mmwd<span style="color: #0000FF;">)<span style="color: #0000FF;">=<span style="color: #000000;">0</span> <span style="color: #008080;">then</span>
|
||||
<span style="color: #0000FF;">?<span style="color: #000000;">9<span style="color: #0000FF;">/<span style="color: #000000;">0</span> <span style="color: #000080;font-style:italic;">-- sanity check</span>
|
||||
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
|
||||
<span style="color: #004080;">integer</span> <span style="color: #000000;">rwd</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">getd<span style="color: #0000FF;">(<span style="color: #000000;">rkey<span style="color: #0000FF;">,<span style="color: #000000;">mmwd<span style="color: #0000FF;">)<span style="color: #0000FF;">,</span>
|
||||
<span style="color: #000000;">cwd</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">getd<span style="color: #0000FF;">(<span style="color: #000000;">ckey<span style="color: #0000FF;">,<span style="color: #000000;">mmwd<span style="color: #0000FF;">)</span>
|
||||
<span style="color: #008080;">return</span> <span style="color: #000000;">rwd<span style="color: #0000FF;">+<span style="color: #000000;">cwd</span>
|
||||
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
|
||||
|
||||
<span style="color: #004080;">sequence</span> <span style="color: #000000;">puzzle</span>
|
||||
<span style="color: #004080;">string</span> <span style="color: #000000;">res</span> <span style="color: #0000FF;">=</span> <span style="color: #008000;">""</span>
|
||||
<span style="color: #004080;">atom</span> <span style="color: #000000;">t0</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">time<span style="color: #0000FF;">(<span style="color: #0000FF;">)<span style="color: #0000FF;">,</span>
|
||||
<span style="color: #000000;">t1</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">time<span style="color: #0000FF;">(<span style="color: #0000FF;">)<span style="color: #0000FF;">+<span style="color: #000000;">1</span>
|
||||
<span style="color: #004080;">atom</span> <span style="color: #000000;">tries</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span>
|
||||
|
||||
<span style="color: #008080;">constant</span> <span style="color: #000000;">ok</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{<span style="color: #0000FF;">{<span style="color: #000000;">0<span style="color: #0000FF;">,<span style="color: #000000;">1<span style="color: #0000FF;">,<span style="color: #000000;">1<span style="color: #0000FF;">,<span style="color: #000000;">1<span style="color: #0000FF;">,<span style="color: #000000;">0<span style="color: #0000FF;">,<span style="color: #000000;">1<span style="color: #0000FF;">,<span style="color: #000000;">1<span style="color: #0000FF;">,<span style="color: #000000;">1<span style="color: #0000FF;">,<span style="color: #000000;">0<span style="color: #0000FF;">,<span style="color: #000000;">1<span style="color: #0000FF;">,<span style="color: #000000;">1<span style="color: #0000FF;">,<span style="color: #000000;">1<span style="color: #0000FF;">,<span style="color: #000000;">0<span style="color: #0000FF;">,<span style="color: #000000;">1<span style="color: #0000FF;">,<span style="color: #000000;">1<span style="color: #0000FF;">,<span style="color: #000000;">1<span style="color: #0000FF;">}<span style="color: #0000FF;">,</span> <span style="color: #000080;font-style:italic;">-- left</span>
|
||||
<span style="color: #0000FF;">{<span style="color: #000000;">0<span style="color: #0000FF;">,<span style="color: #000000;">0<span style="color: #0000FF;">,<span style="color: #000000;">0<span style="color: #0000FF;">,<span style="color: #000000;">0<span style="color: #0000FF;">,<span style="color: #000000;">1<span style="color: #0000FF;">,<span style="color: #000000;">1<span style="color: #0000FF;">,<span style="color: #000000;">1<span style="color: #0000FF;">,<span style="color: #000000;">1<span style="color: #0000FF;">,<span style="color: #000000;">1<span style="color: #0000FF;">,<span style="color: #000000;">1<span style="color: #0000FF;">,<span style="color: #000000;">1<span style="color: #0000FF;">,<span style="color: #000000;">1<span style="color: #0000FF;">,<span style="color: #000000;">1<span style="color: #0000FF;">,<span style="color: #000000;">1<span style="color: #0000FF;">,<span style="color: #000000;">1<span style="color: #0000FF;">,<span style="color: #000000;">1<span style="color: #0000FF;">}<span style="color: #0000FF;">,</span> <span style="color: #000080;font-style:italic;">-- up</span>
|
||||
<span style="color: #0000FF;">{<span style="color: #000000;">1<span style="color: #0000FF;">,<span style="color: #000000;">1<span style="color: #0000FF;">,<span style="color: #000000;">1<span style="color: #0000FF;">,<span style="color: #000000;">1<span style="color: #0000FF;">,<span style="color: #000000;">1<span style="color: #0000FF;">,<span style="color: #000000;">1<span style="color: #0000FF;">,<span style="color: #000000;">1<span style="color: #0000FF;">,<span style="color: #000000;">1<span style="color: #0000FF;">,<span style="color: #000000;">1<span style="color: #0000FF;">,<span style="color: #000000;">1<span style="color: #0000FF;">,<span style="color: #000000;">1<span style="color: #0000FF;">,<span style="color: #000000;">1<span style="color: #0000FF;">,<span style="color: #000000;">0<span style="color: #0000FF;">,<span style="color: #000000;">0<span style="color: #0000FF;">,<span style="color: #000000;">0<span style="color: #0000FF;">,<span style="color: #000000;">0<span style="color: #0000FF;">}<span style="color: #0000FF;">,</span> <span style="color: #000080;font-style:italic;">-- down</span>
|
||||
<span style="color: #0000FF;">{<span style="color: #000000;">1<span style="color: #0000FF;">,<span style="color: #000000;">1<span style="color: #0000FF;">,<span style="color: #000000;">1<span style="color: #0000FF;">,<span style="color: #000000;">0<span style="color: #0000FF;">,<span style="color: #000000;">1<span style="color: #0000FF;">,<span style="color: #000000;">1<span style="color: #0000FF;">,<span style="color: #000000;">1<span style="color: #0000FF;">,<span style="color: #000000;">0<span style="color: #0000FF;">,<span style="color: #000000;">1<span style="color: #0000FF;">,<span style="color: #000000;">1<span style="color: #0000FF;">,<span style="color: #000000;">1<span style="color: #0000FF;">,<span style="color: #000000;">0<span style="color: #0000FF;">,<span style="color: #000000;">1<span style="color: #0000FF;">,<span style="color: #000000;">1<span style="color: #0000FF;">,<span style="color: #000000;">1<span style="color: #0000FF;">,<span style="color: #000000;">0<span style="color: #0000FF;">}<span style="color: #0000FF;">}</span> <span style="color: #000080;font-style:italic;">-- right
|
||||
<!--
|
||||
142
Task/15-puzzle-solver/Phix/15-puzzle-solver-2.phix
Normal file
142
Task/15-puzzle-solver/Phix/15-puzzle-solver-2.phix
Normal file
|
|
@ -0,0 +1,142 @@
|
|||
-->
|
||||
<span style="color: #008080;">function</span> <span style="color: #000000;">iddfs<span style="color: #0000FF;">(<span style="color: #004080;">integer</span> <span style="color: #000000;">step<span style="color: #0000FF;">,</span> <span style="color: #000000;">lim<span style="color: #0000FF;">,</span> <span style="color: #000000;">space<span style="color: #0000FF;">,</span> <span style="color: #000000;">prevmv<span style="color: #0000FF;">)</span>
|
||||
<span style="color: #008080;">if</span> <span style="color: #7060A8;">time<span style="color: #0000FF;">(<span style="color: #0000FF;">)<span style="color: #0000FF;">><span style="color: #000000;">t1</span> <span style="color: #008080;">then</span>
|
||||
<span style="color: #7060A8;">printf<span style="color: #0000FF;">(<span style="color: #000000;">1<span style="color: #0000FF;">,<span style="color: #008000;">"working... (depth=%d, tries=%d, time=%3ds)\r"<span style="color: #0000FF;">,<span style="color: #0000FF;">{<span style="color: #000000;">lim<span style="color: #0000FF;">,<span style="color: #000000;">tries<span style="color: #0000FF;">,<span style="color: #7060A8;">time<span style="color: #0000FF;">(<span style="color: #0000FF;">)<span style="color: #0000FF;">-<span style="color: #000000;">t0<span style="color: #0000FF;">}<span style="color: #0000FF;">)</span>
|
||||
<span style="color: #000000;">t1</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">time<span style="color: #0000FF;">(<span style="color: #0000FF;">)<span style="color: #0000FF;">+<span style="color: #000000;">1</span>
|
||||
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
|
||||
<span style="color: #000000;">tries</span> <span style="color: #0000FF;">+=</span> <span style="color: #000000;">1</span>
|
||||
<span style="color: #004080;">integer</span> <span style="color: #000000;">d</span> <span style="color: #0000FF;">=</span> <span style="color: #008080;">iff<span style="color: #0000FF;">(<span style="color: #000000;">step<span style="color: #0000FF;">==<span style="color: #000000;">lim<span style="color: #0000FF;">?<span style="color: #000000;">0<span style="color: #0000FF;">:<span style="color: #000000;">walking_distance<span style="color: #0000FF;">(<span style="color: #000000;">puzzle<span style="color: #0000FF;">)<span style="color: #0000FF;">)</span>
|
||||
<span style="color: #008080;">if</span> <span style="color: #000000;">d<span style="color: #0000FF;">=<span style="color: #000000;">0</span> <span style="color: #008080;">then</span>
|
||||
|
||||
<span style="color: #008080;">return</span> <span style="color: #0000FF;">(<span style="color: #000000;">puzzle<span style="color: #0000FF;">==<span style="color: #000000;">goal<span style="color: #0000FF;">)</span>
|
||||
|
||||
<span style="color: #008080;">elsif</span> <span style="color: #000000;">step<span style="color: #0000FF;">+<span style="color: #000000;">d<span style="color: #0000FF;"><=<span style="color: #000000;">lim</span> <span style="color: #008080;">then</span>
|
||||
|
||||
<span style="color: #008080;">for</span> <span style="color: #000000;">mv<span style="color: #0000FF;">=<span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #000000;">4</span> <span style="color: #008080;">do</span> <span style="color: #000080;font-style:italic;">-- l/u/d/r</span>
|
||||
<span style="color: #008080;">if</span> <span style="color: #000000;">prevmv<span style="color: #0000FF;">!=<span style="color: #0000FF;">(<span style="color: #000000;">5<span style="color: #0000FF;">-<span style="color: #000000;">mv<span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- not l after r or vice versa, ditto u/d</span>
|
||||
<span style="color: #008080;">and</span> <span style="color: #000000;">ok<span style="color: #0000FF;">[<span style="color: #000000;">mv<span style="color: #0000FF;">]<span style="color: #0000FF;">[<span style="color: #000000;">space<span style="color: #0000FF;">]</span> <span style="color: #008080;">then</span>
|
||||
<span style="color: #004080;">integer</span> <span style="color: #000000;">nspace</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">space<span style="color: #0000FF;">+<span style="color: #0000FF;">{<span style="color: #0000FF;">-<span style="color: #000000;">1<span style="color: #0000FF;">,<span style="color: #0000FF;">-<span style="color: #000000;">4<span style="color: #0000FF;">,<span style="color: #0000FF;">+<span style="color: #000000;">4<span style="color: #0000FF;">,<span style="color: #0000FF;">+<span style="color: #000000;">1<span style="color: #0000FF;">}<span style="color: #0000FF;">[<span style="color: #000000;">mv<span style="color: #0000FF;">]</span>
|
||||
<span style="color: #004080;">integer</span> <span style="color: #000000;">tile</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">puzzle<span style="color: #0000FF;">[<span style="color: #000000;">nspace<span style="color: #0000FF;">]</span>
|
||||
<span style="color: #008080;">if</span> <span style="color: #000000;">puzzle<span style="color: #0000FF;">[<span style="color: #000000;">space<span style="color: #0000FF;">]<span style="color: #0000FF;">!=<span style="color: #000000;">0</span> <span style="color: #008080;">then</span> <span style="color: #0000FF;">?<span style="color: #000000;">9<span style="color: #0000FF;">/<span style="color: #000000;">0</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span> <span style="color: #000080;font-style:italic;">-- sanity check </span>
|
||||
<span style="color: #000000;">puzzle<span style="color: #0000FF;">[<span style="color: #000000;">space<span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">tile</span>
|
||||
<span style="color: #000000;">puzzle<span style="color: #0000FF;">[<span style="color: #000000;">nspace<span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span>
|
||||
<span style="color: #008080;">if</span> <span style="color: #000000;">iddfs<span style="color: #0000FF;">(<span style="color: #000000;">step<span style="color: #0000FF;">+<span style="color: #008080;">iff<span style="color: #0000FF;">(<span style="color: #000000;">MTM</span> <span style="color: #008080;">or</span> <span style="color: #008080;">not</span> <span style="color: #000000;">STM<span style="color: #0000FF;">?<span style="color: #0000FF;">(<span style="color: #000000;">prevmv<span style="color: #0000FF;">!=<span style="color: #000000;">mv<span style="color: #0000FF;">)<span style="color: #0000FF;">:<span style="color: #000000;">1<span style="color: #0000FF;">)<span style="color: #0000FF;">,<span style="color: #000000;">lim<span style="color: #0000FF;">,<span style="color: #000000;">nspace<span style="color: #0000FF;">,<span style="color: #000000;">mv<span style="color: #0000FF;">)</span> <span style="color: #008080;">then</span>
|
||||
<span style="color: #000000;">res</span> <span style="color: #0000FF;">&=</span> <span style="color: #008000;">"ludr"<span style="color: #0000FF;">[<span style="color: #000000;">mv<span style="color: #0000FF;">]</span>
|
||||
<span style="color: #008080;">return</span> <span style="color: #004600;">true</span>
|
||||
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
|
||||
<span style="color: #000000;">puzzle<span style="color: #0000FF;">[<span style="color: #000000;">nspace<span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">tile</span>
|
||||
<span style="color: #000000;">puzzle<span style="color: #0000FF;">[<span style="color: #000000;">space<span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span>
|
||||
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
|
||||
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
|
||||
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
|
||||
<span style="color: #008080;">return</span> <span style="color: #004600;">false</span>
|
||||
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
|
||||
|
||||
<span style="color: #008080;">function</span> <span style="color: #000000;">pack<span style="color: #0000FF;">(<span style="color: #004080;">string</span> <span style="color: #000000;">s<span style="color: #0000FF;">)</span>
|
||||
<span style="color: #004080;">integer</span> <span style="color: #000000;">n</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">length<span style="color: #0000FF;">(<span style="color: #000000;">s<span style="color: #0000FF;">)<span style="color: #0000FF;">,</span> <span style="color: #000000;">n0</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">n</span>
|
||||
<span style="color: #008080;">for</span> <span style="color: #000000;">i<span style="color: #0000FF;">=<span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #000000;">4</span> <span style="color: #008080;">do</span>
|
||||
<span style="color: #004080;">integer</span> <span style="color: #000000;">ch</span> <span style="color: #0000FF;">=</span> <span style="color: #008000;">"lrud"<span style="color: #0000FF;">[<span style="color: #000000;">i<span style="color: #0000FF;">]<span style="color: #0000FF;">,</span> <span style="color: #000000;">k</span>
|
||||
<span style="color: #008080;">while</span> <span style="color: #000000;">1</span> <span style="color: #008080;">do</span>
|
||||
<span style="color: #000000;">k</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">match<span style="color: #0000FF;">(<span style="color: #7060A8;">repeat<span style="color: #0000FF;">(<span style="color: #000000;">ch<span style="color: #0000FF;">,<span style="color: #000000;">3<span style="color: #0000FF;">)<span style="color: #0000FF;">,<span style="color: #000000;">s<span style="color: #0000FF;">)</span>
|
||||
<span style="color: #008080;">if</span> <span style="color: #000000;">k<span style="color: #0000FF;">=<span style="color: #000000;">0</span> <span style="color: #008080;">then</span> <span style="color: #008080;">exit</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
|
||||
<span style="color: #000000;">s<span style="color: #0000FF;">[<span style="color: #000000;">k<span style="color: #0000FF;">+<span style="color: #000000;">1<span style="color: #0000FF;">..<span style="color: #000000;">k<span style="color: #0000FF;">+<span style="color: #000000;">2<span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #008000;">"3"</span>
|
||||
<span style="color: #000000;">n</span> <span style="color: #0000FF;">-=</span> <span style="color: #000000;">2</span>
|
||||
<span style="color: #008080;">end</span> <span style="color: #008080;">while</span>
|
||||
<span style="color: #008080;">while</span> <span style="color: #000000;">1</span> <span style="color: #008080;">do</span>
|
||||
<span style="color: #000000;">k</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">match<span style="color: #0000FF;">(<span style="color: #7060A8;">repeat<span style="color: #0000FF;">(<span style="color: #000000;">ch<span style="color: #0000FF;">,<span style="color: #000000;">2<span style="color: #0000FF;">)<span style="color: #0000FF;">,<span style="color: #000000;">s<span style="color: #0000FF;">)</span>
|
||||
<span style="color: #008080;">if</span> <span style="color: #000000;">k<span style="color: #0000FF;">=<span style="color: #000000;">0</span> <span style="color: #008080;">then</span> <span style="color: #008080;">exit</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
|
||||
<span style="color: #000000;">s<span style="color: #0000FF;">[<span style="color: #000000;">k<span style="color: #0000FF;">+<span style="color: #000000;">1<span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #008000;">'2'</span>
|
||||
<span style="color: #000000;">n</span> <span style="color: #0000FF;">-=</span> <span style="color: #000000;">1</span>
|
||||
<span style="color: #008080;">end</span> <span style="color: #008080;">while</span>
|
||||
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
|
||||
<span style="color: #008080;">return</span> <span style="color: #0000FF;">{<span style="color: #000000;">n<span style="color: #0000FF;">,<span style="color: #008080;">iff<span style="color: #0000FF;">(<span style="color: #000000;">MTM<span style="color: #0000FF;">?<span style="color: #7060A8;">sprintf<span style="color: #0000FF;">(<span style="color: #008000;">"%d"<span style="color: #0000FF;">,<span style="color: #000000;">n<span style="color: #0000FF;">)<span style="color: #0000FF;">:<span style="color: #7060A8;">sprintf<span style="color: #0000FF;">(<span style="color: #008000;">"%d(%d)"<span style="color: #0000FF;">,<span style="color: #0000FF;">{<span style="color: #000000;">n<span style="color: #0000FF;">,<span style="color: #000000;">n0<span style="color: #0000FF;">}<span style="color: #0000FF;">)<span style="color: #0000FF;">)<span style="color: #0000FF;">,<span style="color: #000000;">s<span style="color: #0000FF;">}</span>
|
||||
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
|
||||
|
||||
<span style="color: #008080;">procedure</span> <span style="color: #000000;">apply_moves<span style="color: #0000FF;">(<span style="color: #004080;">string</span> <span style="color: #000000;">moves<span style="color: #0000FF;">,</span> <span style="color: #004080;">integer</span> <span style="color: #000000;">space<span style="color: #0000FF;">)</span>
|
||||
<span style="color: #004080;">integer</span> <span style="color: #000000;">move<span style="color: #0000FF;">,</span> <span style="color: #000000;">ch<span style="color: #0000FF;">,</span> <span style="color: #000000;">nspace</span>
|
||||
<span style="color: #000000;">puzzle<span style="color: #0000FF;">[<span style="color: #000000;">space<span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span>
|
||||
<span style="color: #008080;">for</span> <span style="color: #000000;">i<span style="color: #0000FF;">=<span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #7060A8;">length<span style="color: #0000FF;">(<span style="color: #000000;">moves<span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
|
||||
<span style="color: #000000;">ch</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">moves<span style="color: #0000FF;">[<span style="color: #000000;">i<span style="color: #0000FF;">]</span>
|
||||
<span style="color: #008080;">if</span> <span style="color: #000000;">ch<span style="color: #0000FF;">><span style="color: #008000;">'3'</span> <span style="color: #008080;">then</span>
|
||||
<span style="color: #000000;">move</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">find<span style="color: #0000FF;">(<span style="color: #000000;">ch<span style="color: #0000FF;">,<span style="color: #008000;">"ulrd"<span style="color: #0000FF;">)</span>
|
||||
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
|
||||
<span style="color: #000080;font-style:italic;">-- (hint: "r" -> the 'r' does 1
|
||||
-- "r2" -> the 'r' does 1, the '2' does 1
|
||||
-- "r3" -> the 'r' does 1, the '3' does 2!)</span>
|
||||
<span style="color: #008080;">for</span> <span style="color: #000000;">j<span style="color: #0000FF;">=<span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #000000;">1<span style="color: #0000FF;">+<span style="color: #0000FF;">(<span style="color: #000000;">ch<span style="color: #0000FF;">=<span style="color: #008000;">'3'<span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
|
||||
<span style="color: #000000;">nspace</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">space<span style="color: #0000FF;">+<span style="color: #0000FF;">{<span style="color: #0000FF;">-<span style="color: #000000;">4<span style="color: #0000FF;">,<span style="color: #0000FF;">-<span style="color: #000000;">1<span style="color: #0000FF;">,<span style="color: #0000FF;">+<span style="color: #000000;">1<span style="color: #0000FF;">,<span style="color: #000000;">4<span style="color: #0000FF;">}<span style="color: #0000FF;">[<span style="color: #000000;">move<span style="color: #0000FF;">]</span>
|
||||
<span style="color: #000000;">puzzle<span style="color: #0000FF;">[<span style="color: #000000;">space<span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">puzzle<span style="color: #0000FF;">[<span style="color: #000000;">nspace<span style="color: #0000FF;">]</span>
|
||||
<span style="color: #000000;">space</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">nspace</span>
|
||||
<span style="color: #000000;">puzzle<span style="color: #0000FF;">[<span style="color: #000000;">nspace<span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span>
|
||||
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
|
||||
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
|
||||
<span style="color: #008080;">end</span> <span style="color: #008080;">procedure</span>
|
||||
|
||||
<span style="color: #008080;">function</span> <span style="color: #000000;">solvable<span style="color: #0000FF;">(<span style="color: #004080;">sequence</span> <span style="color: #000000;">board<span style="color: #0000FF;">)</span>
|
||||
<span style="color: #004080;">integer</span> <span style="color: #000000;">n</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">length<span style="color: #0000FF;">(<span style="color: #000000;">board<span style="color: #0000FF;">)</span>
|
||||
<span style="color: #004080;">sequence</span> <span style="color: #000000;">positions</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">repeat<span style="color: #0000FF;">(<span style="color: #000000;">0<span style="color: #0000FF;">,<span style="color: #000000;">n<span style="color: #0000FF;">)</span>
|
||||
<span style="color: #000080;font-style:italic;">-- prepare the mapping from each tile to its position</span>
|
||||
<span style="color: #000000;">board<span style="color: #0000FF;">[<span style="color: #7060A8;">find<span style="color: #0000FF;">(<span style="color: #000000;">0<span style="color: #0000FF;">,<span style="color: #000000;">board<span style="color: #0000FF;">)<span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">n</span>
|
||||
<span style="color: #008080;">for</span> <span style="color: #000000;">i<span style="color: #0000FF;">=<span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #000000;">n</span> <span style="color: #008080;">do</span>
|
||||
<span style="color: #000000;">positions<span style="color: #0000FF;">[<span style="color: #000000;">board<span style="color: #0000FF;">[<span style="color: #000000;">i<span style="color: #0000FF;">]<span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">i</span>
|
||||
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
|
||||
|
||||
<span style="color: #000080;font-style:italic;">-- check whether this is an even or odd state</span>
|
||||
<span style="color: #004080;">integer</span> <span style="color: #000000;">row</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">floor<span style="color: #0000FF;">(<span style="color: #0000FF;">(<span style="color: #000000;">positions<span style="color: #0000FF;">[<span style="color: #000000;">16<span style="color: #0000FF;">]<span style="color: #0000FF;">-<span style="color: #000000;">1<span style="color: #0000FF;">)<span style="color: #0000FF;">/<span style="color: #000000;">4<span style="color: #0000FF;">)<span style="color: #0000FF;">,</span>
|
||||
<span style="color: #000000;">col</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">(<span style="color: #000000;">positions<span style="color: #0000FF;">[<span style="color: #000000;">16<span style="color: #0000FF;">]<span style="color: #0000FF;">-<span style="color: #000000;">1<span style="color: #0000FF;">)<span style="color: #0000FF;">-<span style="color: #000000;">row<span style="color: #0000FF;">*<span style="color: #000000;">4</span>
|
||||
<span style="color: #004080;">bool</span> <span style="color: #000000;">even_state</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">(<span style="color: #000000;">positions<span style="color: #0000FF;">[<span style="color: #000000;">16<span style="color: #0000FF;">]<span style="color: #0000FF;">==<span style="color: #000000;">16<span style="color: #0000FF;">)</span> <span style="color: #008080;">or</span> <span style="color: #0000FF;">(<span style="color: #7060A8;">mod<span style="color: #0000FF;">(<span style="color: #000000;">row<span style="color: #0000FF;">,<span style="color: #000000;">2<span style="color: #0000FF;">)<span style="color: #0000FF;">==<span style="color: #7060A8;">mod<span style="color: #0000FF;">(<span style="color: #000000;">col<span style="color: #0000FF;">,<span style="color: #000000;">2<span style="color: #0000FF;">)<span style="color: #0000FF;">)</span>
|
||||
|
||||
<span style="color: #000080;font-style:italic;">-- count the even cycles</span>
|
||||
<span style="color: #004080;">integer</span> <span style="color: #000000;">even_count</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span>
|
||||
<span style="color: #004080;">sequence</span> <span style="color: #000000;">visited</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">repeat<span style="color: #0000FF;">(<span style="color: #004600;">false<span style="color: #0000FF;">,<span style="color: #000000;">16<span style="color: #0000FF;">)</span>
|
||||
<span style="color: #008080;">for</span> <span style="color: #000000;">i<span style="color: #0000FF;">=<span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #000000;">n</span> <span style="color: #008080;">do</span>
|
||||
<span style="color: #008080;">if</span> <span style="color: #008080;">not</span> <span style="color: #000000;">visited<span style="color: #0000FF;">[<span style="color: #000000;">i<span style="color: #0000FF;">]</span> <span style="color: #008080;">then</span>
|
||||
<span style="color: #000080;font-style:italic;">-- a new cycle starts at i. Count its length..</span>
|
||||
<span style="color: #004080;">integer</span> <span style="color: #000000;">cycle_length</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0<span style="color: #0000FF;">,</span>
|
||||
<span style="color: #000000;">next_tile</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">i</span>
|
||||
<span style="color: #008080;">while</span> <span style="color: #008080;">not</span> <span style="color: #000000;">visited<span style="color: #0000FF;">[<span style="color: #000000;">next_tile<span style="color: #0000FF;">]</span> <span style="color: #008080;">do</span>
|
||||
<span style="color: #000000;">cycle_length</span> <span style="color: #0000FF;">+=<span style="color: #000000;">1</span>
|
||||
<span style="color: #000000;">visited<span style="color: #0000FF;">[<span style="color: #000000;">next_tile<span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #004600;">true</span>
|
||||
<span style="color: #000000;">next_tile</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">positions<span style="color: #0000FF;">[<span style="color: #000000;">next_tile<span style="color: #0000FF;">]</span>
|
||||
<span style="color: #008080;">end</span> <span style="color: #008080;">while</span>
|
||||
<span style="color: #000000;">even_count</span> <span style="color: #0000FF;">+=</span> <span style="color: #0000FF;">(<span style="color: #7060A8;">mod<span style="color: #0000FF;">(<span style="color: #000000;">cycle_length<span style="color: #0000FF;">,<span style="color: #000000;">2<span style="color: #0000FF;">)<span style="color: #0000FF;">==<span style="color: #000000;">0<span style="color: #0000FF;">)</span>
|
||||
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
|
||||
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
|
||||
<span style="color: #008080;">return</span> <span style="color: #000000;">even_state</span> <span style="color: #0000FF;">==</span> <span style="color: #0000FF;">(<span style="color: #7060A8;">mod<span style="color: #0000FF;">(<span style="color: #000000;">even_count<span style="color: #0000FF;">,<span style="color: #000000;">2<span style="color: #0000FF;">)<span style="color: #0000FF;">==<span style="color: #000000;">0<span style="color: #0000FF;">)</span>
|
||||
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
|
||||
|
||||
<span style="color: #008080;">procedure</span> <span style="color: #000000;">main<span style="color: #0000FF;">(<span style="color: #0000FF;">)</span>
|
||||
|
||||
<span style="color: #000000;">puzzle</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{<span style="color: #000000;">15<span style="color: #0000FF;">,<span style="color: #000000;">14<span style="color: #0000FF;">,</span> <span style="color: #000000;">1<span style="color: #0000FF;">,</span> <span style="color: #000000;">6<span style="color: #0000FF;">,</span>
|
||||
<span style="color: #000000;">9<span style="color: #0000FF;">,<span style="color: #000000;">11<span style="color: #0000FF;">,</span> <span style="color: #000000;">4<span style="color: #0000FF;">,<span style="color: #000000;">12<span style="color: #0000FF;">,</span>
|
||||
<span style="color: #000000;">0<span style="color: #0000FF;">,<span style="color: #000000;">10<span style="color: #0000FF;">,</span> <span style="color: #000000;">7<span style="color: #0000FF;">,</span> <span style="color: #000000;">3<span style="color: #0000FF;">,</span>
|
||||
<span style="color: #000000;">13<span style="color: #0000FF;">,</span> <span style="color: #000000;">8<span style="color: #0000FF;">,</span> <span style="color: #000000;">5<span style="color: #0000FF;">,</span> <span style="color: #000000;">2<span style="color: #0000FF;">}</span>
|
||||
|
||||
<span style="color: #008080;">if</span> <span style="color: #008080;">not</span> <span style="color: #000000;">solvable<span style="color: #0000FF;">(<span style="color: #000000;">puzzle<span style="color: #0000FF;">)</span> <span style="color: #008080;">then</span>
|
||||
<span style="color: #0000FF;">?<span style="color: #000000;">puzzle</span>
|
||||
<span style="color: #7060A8;">printf<span style="color: #0000FF;">(<span style="color: #000000;">1<span style="color: #0000FF;">,<span style="color: #008000;">"puzzle is not solveable\n"<span style="color: #0000FF;">)</span>
|
||||
<span style="color: #008080;">else</span>
|
||||
|
||||
<span style="color: #000000;">generate_mmwd<span style="color: #0000FF;">(<span style="color: #0000FF;">)</span>
|
||||
|
||||
<span style="color: #004080;">sequence</span> <span style="color: #000000;">original</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">puzzle</span>
|
||||
<span style="color: #004080;">integer</span> <span style="color: #000000;">space</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">find<span style="color: #0000FF;">(<span style="color: #000000;">0<span style="color: #0000FF;">,<span style="color: #000000;">puzzle<span style="color: #0000FF;">)</span>
|
||||
|
||||
<span style="color: #008080;">for</span> <span style="color: #000000;">lim<span style="color: #0000FF;">=<span style="color: #000000;">walking_distance<span style="color: #0000FF;">(<span style="color: #000000;">puzzle<span style="color: #0000FF;">)</span> <span style="color: #008080;">to</span> <span style="color: #008080;">iff<span style="color: #0000FF;">(<span style="color: #000000;">MTM<span style="color: #0000FF;">?<span style="color: #000000;">43<span style="color: #0000FF;">:<span style="color: #000000;">80<span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
|
||||
<span style="color: #008080;">if</span> <span style="color: #000000;">iddfs<span style="color: #0000FF;">(<span style="color: #000000;">0<span style="color: #0000FF;">,</span> <span style="color: #000000;">lim<span style="color: #0000FF;">,</span> <span style="color: #000000;">space<span style="color: #0000FF;">,</span> <span style="color: #008000;">'-'<span style="color: #0000FF;">)</span> <span style="color: #008080;">then</span> <span style="color: #008080;">exit</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
|
||||
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
|
||||
|
||||
<span style="color: #0000FF;">{<span style="color: #004080;">integer</span> <span style="color: #000000;">n<span style="color: #0000FF;">,</span> <span style="color: #004080;">string</span> <span style="color: #000000;">ns<span style="color: #0000FF;">,</span> <span style="color: #004080;">string</span> <span style="color: #000000;">ans<span style="color: #0000FF;">}</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">pack<span style="color: #0000FF;">(<span style="color: #7060A8;">reverse<span style="color: #0000FF;">(<span style="color: #000000;">res<span style="color: #0000FF;">)<span style="color: #0000FF;">)</span>
|
||||
|
||||
<span style="color: #7060A8;">printf<span style="color: #0000FF;">(<span style="color: #000000;">1<span style="color: #0000FF;">,<span style="color: #008000;">"\n\noriginal:"<span style="color: #0000FF;">)</span>
|
||||
<span style="color: #0000FF;">?<span style="color: #000000;">original</span>
|
||||
<span style="color: #004080;">atom</span> <span style="color: #000000;">t</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">time<span style="color: #0000FF;">(<span style="color: #0000FF;">)<span style="color: #0000FF;">-<span style="color: #000000;">t0</span>
|
||||
<span style="color: #7060A8;">printf<span style="color: #0000FF;">(<span style="color: #000000;">1<span style="color: #0000FF;">,<span style="color: #008000;">"\n%soptimal solution of %s moves found in %s: %s\n\nresult: "<span style="color: #0000FF;">,</span>
|
||||
<span style="color: #0000FF;">{<span style="color: #008080;">iff<span style="color: #0000FF;">(<span style="color: #000000;">MTM<span style="color: #0000FF;">?<span style="color: #008000;">"mtm-"<span style="color: #0000FF;">:<span style="color: #008080;">iff<span style="color: #0000FF;">(<span style="color: #000000;">STM<span style="color: #0000FF;">?<span style="color: #008000;">"stm-"<span style="color: #0000FF;">:<span style="color: #008000;">"non-"<span style="color: #0000FF;">)<span style="color: #0000FF;">)<span style="color: #0000FF;">,<span style="color: #000000;">ns<span style="color: #0000FF;">,<span style="color: #7060A8;">elapsed<span style="color: #0000FF;">(<span style="color: #000000;">t<span style="color: #0000FF;">)<span style="color: #0000FF;">,<span style="color: #000000;">ans<span style="color: #0000FF;">}<span style="color: #0000FF;">)</span>
|
||||
<span style="color: #000000;">puzzle</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">original</span>
|
||||
<span style="color: #000000;">apply_moves<span style="color: #0000FF;">(<span style="color: #000000;">ans<span style="color: #0000FF;">,<span style="color: #000000;">space<span style="color: #0000FF;">)</span>
|
||||
<span style="color: #0000FF;">?<span style="color: #000000;">puzzle</span>
|
||||
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
|
||||
<span style="color: #008080;">end</span> <span style="color: #008080;">procedure</span>
|
||||
<span style="color: #000000;">main<span style="color: #0000FF;">(<span style="color: #0000FF;">)
|
||||
<!--
|
||||
129
Task/15-puzzle-solver/Phix/15-puzzle-solver-3.phix
Normal file
129
Task/15-puzzle-solver/Phix/15-puzzle-solver-3.phix
Normal file
|
|
@ -0,0 +1,129 @@
|
|||
(phixonline)-->
|
||||
<span style="color: #000080;font-style:italic;">-- demo/rosetta/Solve15puzzle_simple.exw</span>
|
||||
<span style="color: #008080;">enum</span> <span style="color: #000000;">left<span style="color: #0000FF;">,</span> <span style="color: #000000;">down<span style="color: #0000FF;">,</span> <span style="color: #000000;">up<span style="color: #0000FF;">,</span> <span style="color: #000000;">right</span> <span style="color: #000080;font-style:italic;">-- (nb 5-move flips it, as in down===5-up, etc)</span>
|
||||
|
||||
<span style="color: #008080;">constant</span> <span style="color: #000000;">valid_moves</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{<span style="color: #0000FF;">{</span> <span style="color: #000000;">0<span style="color: #0000FF;">,</span> <span style="color: #000000;">0<span style="color: #0000FF;">,</span> <span style="color: #000000;">5<span style="color: #0000FF;">,</span> <span style="color: #000000;">2<span style="color: #0000FF;">}<span style="color: #0000FF;">,</span> <span style="color: #0000FF;">{</span> <span style="color: #000000;">1<span style="color: #0000FF;">,</span> <span style="color: #000000;">0<span style="color: #0000FF;">,</span> <span style="color: #000000;">6<span style="color: #0000FF;">,</span> <span style="color: #000000;">3<span style="color: #0000FF;">}<span style="color: #0000FF;">,</span> <span style="color: #0000FF;">{</span> <span style="color: #000000;">2<span style="color: #0000FF;">,</span> <span style="color: #000000;">0<span style="color: #0000FF;">,</span> <span style="color: #000000;">7<span style="color: #0000FF;">,</span> <span style="color: #000000;">4<span style="color: #0000FF;">}<span style="color: #0000FF;">,</span> <span style="color: #0000FF;">{</span> <span style="color: #000000;">3<span style="color: #0000FF;">,</span> <span style="color: #000000;">0<span style="color: #0000FF;">,</span> <span style="color: #000000;">8<span style="color: #0000FF;">,</span> <span style="color: #000000;">0<span style="color: #0000FF;">}<span style="color: #0000FF;">,</span>
|
||||
<span style="color: #0000FF;">{</span> <span style="color: #000000;">0<span style="color: #0000FF;">,</span> <span style="color: #000000;">1<span style="color: #0000FF;">,</span> <span style="color: #000000;">9<span style="color: #0000FF;">,</span> <span style="color: #000000;">6<span style="color: #0000FF;">}<span style="color: #0000FF;">,</span> <span style="color: #0000FF;">{</span> <span style="color: #000000;">5<span style="color: #0000FF;">,</span> <span style="color: #000000;">2<span style="color: #0000FF;">,<span style="color: #000000;">10<span style="color: #0000FF;">,</span> <span style="color: #000000;">7<span style="color: #0000FF;">}<span style="color: #0000FF;">,</span> <span style="color: #0000FF;">{</span> <span style="color: #000000;">6<span style="color: #0000FF;">,</span> <span style="color: #000000;">3<span style="color: #0000FF;">,<span style="color: #000000;">11<span style="color: #0000FF;">,</span> <span style="color: #000000;">8<span style="color: #0000FF;">}<span style="color: #0000FF;">,</span> <span style="color: #0000FF;">{</span> <span style="color: #000000;">7<span style="color: #0000FF;">,</span> <span style="color: #000000;">4<span style="color: #0000FF;">,<span style="color: #000000;">12<span style="color: #0000FF;">,</span> <span style="color: #000000;">0<span style="color: #0000FF;">}<span style="color: #0000FF;">,</span>
|
||||
<span style="color: #0000FF;">{</span> <span style="color: #000000;">0<span style="color: #0000FF;">,</span> <span style="color: #000000;">5<span style="color: #0000FF;">,<span style="color: #000000;">13<span style="color: #0000FF;">,<span style="color: #000000;">10<span style="color: #0000FF;">}<span style="color: #0000FF;">,</span> <span style="color: #0000FF;">{</span> <span style="color: #000000;">9<span style="color: #0000FF;">,</span> <span style="color: #000000;">6<span style="color: #0000FF;">,<span style="color: #000000;">14<span style="color: #0000FF;">,<span style="color: #000000;">11<span style="color: #0000FF;">}<span style="color: #0000FF;">,</span> <span style="color: #0000FF;">{<span style="color: #000000;">10<span style="color: #0000FF;">,</span> <span style="color: #000000;">7<span style="color: #0000FF;">,<span style="color: #000000;">15<span style="color: #0000FF;">,<span style="color: #000000;">12<span style="color: #0000FF;">}<span style="color: #0000FF;">,</span> <span style="color: #0000FF;">{<span style="color: #000000;">11<span style="color: #0000FF;">,</span> <span style="color: #000000;">8<span style="color: #0000FF;">,<span style="color: #000000;">16<span style="color: #0000FF;">,</span> <span style="color: #000000;">0<span style="color: #0000FF;">}<span style="color: #0000FF;">,</span>
|
||||
<span style="color: #0000FF;">{</span> <span style="color: #000000;">0<span style="color: #0000FF;">,</span> <span style="color: #000000;">9<span style="color: #0000FF;">,</span> <span style="color: #000000;">0<span style="color: #0000FF;">,<span style="color: #000000;">14<span style="color: #0000FF;">}<span style="color: #0000FF;">,</span> <span style="color: #0000FF;">{<span style="color: #000000;">13<span style="color: #0000FF;">,<span style="color: #000000;">10<span style="color: #0000FF;">,</span> <span style="color: #000000;">0<span style="color: #0000FF;">,<span style="color: #000000;">15<span style="color: #0000FF;">}<span style="color: #0000FF;">,</span> <span style="color: #0000FF;">{<span style="color: #000000;">14<span style="color: #0000FF;">,<span style="color: #000000;">11<span style="color: #0000FF;">,</span> <span style="color: #000000;">0<span style="color: #0000FF;">,<span style="color: #000000;">16<span style="color: #0000FF;">}<span style="color: #0000FF;">,</span> <span style="color: #0000FF;">{<span style="color: #000000;">15<span style="color: #0000FF;">,<span style="color: #000000;">12<span style="color: #0000FF;">,</span> <span style="color: #000000;">0<span style="color: #0000FF;">,</span> <span style="color: #000000;">0<span style="color: #0000FF;">}<span style="color: #0000FF;">}</span>
|
||||
|
||||
<span style="color: #008080;">constant</span> <span style="color: #000000;">zero_cost</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{<span style="color: #0000FF;">{<span style="color: #000000;">0b000000000000000<span style="color: #0000FF;">,<span style="color: #000000;">0b000000000000000<span style="color: #0000FF;">,<span style="color: #000000;">0b000000000001111<span style="color: #0000FF;">,<span style="color: #000000;">0b001000100010001<span style="color: #0000FF;">}<span style="color: #0000FF;">,</span>
|
||||
<span style="color: #0000FF;">{<span style="color: #000000;">0b110111011101110<span style="color: #0000FF;">,<span style="color: #000000;">0b000000000000000<span style="color: #0000FF;">,<span style="color: #000000;">0b000000000001111<span style="color: #0000FF;">,<span style="color: #000000;">0b011001100110011<span style="color: #0000FF;">}<span style="color: #0000FF;">,</span>
|
||||
<span style="color: #0000FF;">{<span style="color: #000000;">0b100110011001100<span style="color: #0000FF;">,<span style="color: #000000;">0b000000000000000<span style="color: #0000FF;">,<span style="color: #000000;">0b000000000001111<span style="color: #0000FF;">,<span style="color: #000000;">0b111011101110111<span style="color: #0000FF;">}<span style="color: #0000FF;">,</span>
|
||||
<span style="color: #0000FF;">{<span style="color: #000000;">0b000100010001000<span style="color: #0000FF;">,<span style="color: #000000;">0b000000000000000<span style="color: #0000FF;">,<span style="color: #000000;">0b000000000001111<span style="color: #0000FF;">,<span style="color: #000000;">0b000000000000000<span style="color: #0000FF;">}<span style="color: #0000FF;">,</span>
|
||||
<span style="color: #0000FF;">{<span style="color: #000000;">0b000000000000000<span style="color: #0000FF;">,<span style="color: #000000;">0b111111111110000<span style="color: #0000FF;">,<span style="color: #000000;">0b000000011111111<span style="color: #0000FF;">,<span style="color: #000000;">0b001000100010001<span style="color: #0000FF;">}<span style="color: #0000FF;">,</span>
|
||||
<span style="color: #0000FF;">{<span style="color: #000000;">0b110111011101110<span style="color: #0000FF;">,<span style="color: #000000;">0b111111111110000<span style="color: #0000FF;">,<span style="color: #000000;">0b000000011111111<span style="color: #0000FF;">,<span style="color: #000000;">0b011001100110011<span style="color: #0000FF;">}<span style="color: #0000FF;">,</span>
|
||||
<span style="color: #0000FF;">{<span style="color: #000000;">0b100110011001100<span style="color: #0000FF;">,<span style="color: #000000;">0b111111111110000<span style="color: #0000FF;">,<span style="color: #000000;">0b000000011111111<span style="color: #0000FF;">,<span style="color: #000000;">0b111011101110111<span style="color: #0000FF;">}<span style="color: #0000FF;">,</span>
|
||||
<span style="color: #0000FF;">{<span style="color: #000000;">0b000100010001000<span style="color: #0000FF;">,<span style="color: #000000;">0b111111111110000<span style="color: #0000FF;">,<span style="color: #000000;">0b000000011111111<span style="color: #0000FF;">,<span style="color: #000000;">0b000000000000000<span style="color: #0000FF;">}<span style="color: #0000FF;">,</span>
|
||||
<span style="color: #0000FF;">{<span style="color: #000000;">0b000000000000000<span style="color: #0000FF;">,<span style="color: #000000;">0b111111100000000<span style="color: #0000FF;">,<span style="color: #000000;">0b000111111111111<span style="color: #0000FF;">,<span style="color: #000000;">0b001000100010001<span style="color: #0000FF;">}<span style="color: #0000FF;">,</span>
|
||||
<span style="color: #0000FF;">{<span style="color: #000000;">0b110111011101110<span style="color: #0000FF;">,<span style="color: #000000;">0b111111100000000<span style="color: #0000FF;">,<span style="color: #000000;">0b000111111111111<span style="color: #0000FF;">,<span style="color: #000000;">0b011001100110011<span style="color: #0000FF;">}<span style="color: #0000FF;">,</span>
|
||||
<span style="color: #0000FF;">{<span style="color: #000000;">0b100110011001100<span style="color: #0000FF;">,<span style="color: #000000;">0b111111100000000<span style="color: #0000FF;">,<span style="color: #000000;">0b000111111111111<span style="color: #0000FF;">,<span style="color: #000000;">0b111011101110111<span style="color: #0000FF;">}<span style="color: #0000FF;">,</span>
|
||||
<span style="color: #0000FF;">{<span style="color: #000000;">0b000100010001000<span style="color: #0000FF;">,<span style="color: #000000;">0b111111100000000<span style="color: #0000FF;">,<span style="color: #000000;">0b000111111111111<span style="color: #0000FF;">,<span style="color: #000000;">0b000000000000000<span style="color: #0000FF;">}<span style="color: #0000FF;">,</span>
|
||||
<span style="color: #0000FF;">{<span style="color: #000000;">0b000000000000000<span style="color: #0000FF;">,<span style="color: #000000;">0b111000000000000<span style="color: #0000FF;">,<span style="color: #000000;">0b000000000000000<span style="color: #0000FF;">,<span style="color: #000000;">0b001000100010001<span style="color: #0000FF;">}<span style="color: #0000FF;">,</span>
|
||||
<span style="color: #0000FF;">{<span style="color: #000000;">0b110111011101110<span style="color: #0000FF;">,<span style="color: #000000;">0b111000000000000<span style="color: #0000FF;">,<span style="color: #000000;">0b000000000000000<span style="color: #0000FF;">,<span style="color: #000000;">0b011001100110011<span style="color: #0000FF;">}<span style="color: #0000FF;">,</span>
|
||||
<span style="color: #0000FF;">{<span style="color: #000000;">0b100110011001100<span style="color: #0000FF;">,<span style="color: #000000;">0b111000000000000<span style="color: #0000FF;">,<span style="color: #000000;">0b000000000000000<span style="color: #0000FF;">,<span style="color: #000000;">0b111011101110111<span style="color: #0000FF;">}<span style="color: #0000FF;">,</span>
|
||||
<span style="color: #0000FF;">{<span style="color: #000000;">0b000100010001000<span style="color: #0000FF;">,<span style="color: #000000;">0b111000000000000<span style="color: #0000FF;">,<span style="color: #000000;">0b000000000000000<span style="color: #0000FF;">,<span style="color: #000000;">0b000000000000000<span style="color: #0000FF;">}<span style="color: #0000FF;">}</span>
|
||||
|
||||
<span style="color: #008080;">constant</span> <span style="color: #000000;">masks</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{<span style="color: #000000;">0b000000000000001<span style="color: #0000FF;">,<span style="color: #000000;">0b000000000000010<span style="color: #0000FF;">,<span style="color: #000000;">0b000000000000100<span style="color: #0000FF;">,<span style="color: #000000;">0b000000000001000<span style="color: #0000FF;">,</span>
|
||||
<span style="color: #000000;">0b000000000010000<span style="color: #0000FF;">,<span style="color: #000000;">0b000000000100000<span style="color: #0000FF;">,<span style="color: #000000;">0b000000001000000<span style="color: #0000FF;">,<span style="color: #000000;">0b000000010000000<span style="color: #0000FF;">,</span>
|
||||
<span style="color: #000000;">0b000000100000000<span style="color: #0000FF;">,<span style="color: #000000;">0b000001000000000<span style="color: #0000FF;">,<span style="color: #000000;">0b000010000000000<span style="color: #0000FF;">,<span style="color: #000000;">0b000100000000000<span style="color: #0000FF;">,</span>
|
||||
<span style="color: #000000;">0b001000000000000<span style="color: #0000FF;">,<span style="color: #000000;">0b010000000000000<span style="color: #0000FF;">,<span style="color: #000000;">0b100000000000000<span style="color: #0000FF;">}</span>
|
||||
|
||||
<span style="color: #000080;font-style:italic;">-- Or, if you prefer to build those with code (but I really wanted to show the above bitmasks):
|
||||
--/*
|
||||
sequence valid_moves = repeat(repeat(0,4),16),
|
||||
zero_cost = repeat(repeat(0,4),16)
|
||||
constant masks = sq_power(2,tagset(14,0))
|
||||
for square=1 to 16 do
|
||||
integer s_row = floor((square+3)/4),
|
||||
s_col = remainder((square-1),4)+1
|
||||
for move=left to right do -- (via up/down)
|
||||
if (move=left and s_col>1)
|
||||
or (move=down and s_row>1)
|
||||
or (move=up and s_row<4)
|
||||
or (move=right and s_col<4) then
|
||||
integer origin = square+{-1,-4,+4,+1}[move],
|
||||
o_row = floor((origin+3)/4),
|
||||
o_col = remainder((origin-1),4)+1
|
||||
valid_moves[square][move] = origin
|
||||
for piece=1 to 15 do -- (aka target)
|
||||
integer t_row = floor((piece+3)/4),
|
||||
t_col = remainder((piece-1),4)+1,
|
||||
p_md = abs(t_row-o_row)+abs(t_col-o_col),
|
||||
n_md = abs(t_row-s_row)+abs(t_col-s_col)
|
||||
if n_md<=p_md then
|
||||
zero_cost[square][move] += masks[piece]
|
||||
end if
|
||||
end for
|
||||
end if
|
||||
end for
|
||||
end for
|
||||
--pp(valid_moves,{pp_IntFmt,"%2d",pp_Maxlen,70})
|
||||
--pp(zero_cost,{pp_IntFmt,"%015b"})
|
||||
--pp(masks,{pp_IntFmt,"%015b",pp_IntCh,false})
|
||||
--*/</span>
|
||||
<span style="color: #008080;">if</span> <span style="color: #000000;">up</span> <span style="color: #008080;">or</span> <span style="color: #000000;">down</span> <span style="color: #008080;">then</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span> <span style="color: #000080;font-style:italic;">-- (suppress unused warnings, since the above commented out)</span>
|
||||
|
||||
<span style="color: #004080;">string</span> <span style="color: #000000;">moves</span> <span style="color: #0000FF;">=</span> <span style="color: #008000;">""</span>
|
||||
<span style="color: #004080;">sequence</span> <span style="color: #000000;">board</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{<span style="color: #000000;">15<span style="color: #0000FF;">,<span style="color: #000000;">14<span style="color: #0000FF;">,</span> <span style="color: #000000;">1<span style="color: #0000FF;">,</span> <span style="color: #000000;">6<span style="color: #0000FF;">,</span>
|
||||
<span style="color: #000000;">9<span style="color: #0000FF;">,<span style="color: #000000;">11<span style="color: #0000FF;">,</span> <span style="color: #000000;">4<span style="color: #0000FF;">,<span style="color: #000000;">12<span style="color: #0000FF;">,</span>
|
||||
<span style="color: #000000;">0<span style="color: #0000FF;">,<span style="color: #000000;">10<span style="color: #0000FF;">,</span> <span style="color: #000000;">7<span style="color: #0000FF;">,</span> <span style="color: #000000;">3<span style="color: #0000FF;">,</span>
|
||||
<span style="color: #000000;">13<span style="color: #0000FF;">,</span> <span style="color: #000000;">8<span style="color: #0000FF;">,</span> <span style="color: #000000;">5<span style="color: #0000FF;">,</span> <span style="color: #000000;">2<span style="color: #0000FF;">}</span>
|
||||
<span style="color: #004080;">integer</span> <span style="color: #000000;">space</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">9</span>
|
||||
|
||||
<span style="color: #008080;">constant</span> <span style="color: #000000;">goal</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{</span> <span style="color: #000000;">1<span style="color: #0000FF;">,</span> <span style="color: #000000;">2<span style="color: #0000FF;">,</span> <span style="color: #000000;">3<span style="color: #0000FF;">,</span> <span style="color: #000000;">4<span style="color: #0000FF;">,</span>
|
||||
<span style="color: #000000;">5<span style="color: #0000FF;">,</span> <span style="color: #000000;">6<span style="color: #0000FF;">,</span> <span style="color: #000000;">7<span style="color: #0000FF;">,</span> <span style="color: #000000;">8<span style="color: #0000FF;">,</span>
|
||||
<span style="color: #000000;">9<span style="color: #0000FF;">,<span style="color: #000000;">10<span style="color: #0000FF;">,<span style="color: #000000;">11<span style="color: #0000FF;">,<span style="color: #000000;">12<span style="color: #0000FF;">,</span>
|
||||
<span style="color: #000000;">13<span style="color: #0000FF;">,<span style="color: #000000;">14<span style="color: #0000FF;">,<span style="color: #000000;">15<span style="color: #0000FF;">,</span> <span style="color: #000000;">0<span style="color: #0000FF;">}</span>
|
||||
|
||||
<span style="color: #004080;">atom</span> <span style="color: #000000;">t1</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">time<span style="color: #0000FF;">(<span style="color: #0000FF;">)<span style="color: #0000FF;">+<span style="color: #000000;">1</span>
|
||||
|
||||
<span style="color: #008080;">function</span> <span style="color: #000000;">solve<span style="color: #0000FF;">(<span style="color: #004080;">integer</span> <span style="color: #000000;">nfree<span style="color: #0000FF;">,</span> <span style="color: #000000;">space<span style="color: #0000FF;">,</span> <span style="color: #000000;">mdx<span style="color: #0000FF;">=<span style="color: #000000;">1<span style="color: #0000FF;">,</span> <span style="color: #000000;">skip_move<span style="color: #0000FF;">=<span style="color: #000000;">0<span style="color: #0000FF;">)</span>
|
||||
<span style="color: #000080;font-style:italic;">--
|
||||
-- nfree is the number of non-free moves we can yet make
|
||||
-- space is the location of the space (duh), [1..16]
|
||||
-- mdx is just the move index for building the solution
|
||||
-- skip_move significantly narrows search space (1000 or
|
||||
-- more times faster, believe it or not, simply by not
|
||||
-- allowing the immediate undoing of the last move)
|
||||
--</span>
|
||||
<span style="color: #008080;">for</span> <span style="color: #000000;">move<span style="color: #0000FF;">=<span style="color: #000000;">left</span> <span style="color: #008080;">to</span> <span style="color: #000000;">right</span> <span style="color: #008080;">do</span> <span style="color: #000080;font-style:italic;">-- (via up/down)</span>
|
||||
<span style="color: #004080;">integer</span> <span style="color: #000000;">new_space</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">valid_moves<span style="color: #0000FF;">[<span style="color: #000000;">space<span style="color: #0000FF;">]<span style="color: #0000FF;">[<span style="color: #000000;">move<span style="color: #0000FF;">]</span>
|
||||
<span style="color: #008080;">if</span> <span style="color: #000000;">move<span style="color: #0000FF;">!=<span style="color: #000000;">skip_move</span> <span style="color: #008080;">and</span> <span style="color: #000000;">new_space</span> <span style="color: #008080;">then</span>
|
||||
<span style="color: #004080;">integer</span> <span style="color: #000000;">piece</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">board<span style="color: #0000FF;">[<span style="color: #000000;">new_space<span style="color: #0000FF;">]<span style="color: #0000FF;">,</span>
|
||||
<span style="color: #000000;">zcsmv</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">zero_cost<span style="color: #0000FF;">[<span style="color: #000000;">space<span style="color: #0000FF;">]<span style="color: #0000FF;">[<span style="color: #000000;">move<span style="color: #0000FF;">]<span style="color: #0000FF;">,</span>
|
||||
<span style="color: #000000;">maskp</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">masks<span style="color: #0000FF;">[<span style="color: #000000;">piece<span style="color: #0000FF;">]<span style="color: #0000FF;">,</span>
|
||||
<span style="color: #000000;">zcost</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">(<span style="color: #000000;">and_bits<span style="color: #0000FF;">(<span style="color: #000000;">zcsmv<span style="color: #0000FF;">,<span style="color: #000000;">maskp<span style="color: #0000FF;">)<span style="color: #0000FF;">=<span style="color: #000000;">0<span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- (0==free, 1==not)</span>
|
||||
<span style="color: #008080;">if</span> <span style="color: #000000;">nfree<span style="color: #0000FF;">>=<span style="color: #000000;">zcost</span> <span style="color: #008080;">then</span>
|
||||
<span style="color: #008080;">if</span> <span style="color: #000000;">mdx<span style="color: #0000FF;">><span style="color: #7060A8;">length<span style="color: #0000FF;">(<span style="color: #000000;">moves<span style="color: #0000FF;">)</span> <span style="color: #008080;">then</span> <span style="color: #000000;">moves</span> <span style="color: #0000FF;">&=</span> <span style="color: #008000;">'?'</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
|
||||
<span style="color: #000080;font-style:italic;">-- moves[mdx] = "ludr"[move]</span>
|
||||
<span style="color: #000000;">moves<span style="color: #0000FF;">[<span style="color: #000000;">mdx<span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #008000;">"ludrLUDR"<span style="color: #0000FF;">[<span style="color: #000000;">move<span style="color: #0000FF;">+<span style="color: #000000;">zcost<span style="color: #0000FF;">*<span style="color: #000000;">4<span style="color: #0000FF;">]</span>
|
||||
<span style="color: #000000;">board<span style="color: #0000FF;">[<span style="color: #000000;">space<span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">piece</span>
|
||||
<span style="color: #000000;">board<span style="color: #0000FF;">[<span style="color: #000000;">new_space<span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span>
|
||||
<span style="color: #008080;">if</span> <span style="color: #7060A8;">time<span style="color: #0000FF;">(<span style="color: #0000FF;">)<span style="color: #0000FF;">><span style="color: #000000;">t1</span> <span style="color: #008080;">then</span>
|
||||
<span style="color: #7060A8;">printf<span style="color: #0000FF;">(<span style="color: #000000;">1<span style="color: #0000FF;">,<span style="color: #008000;">"%s\r"<span style="color: #0000FF;">,<span style="color: #0000FF;">{<span style="color: #000000;">moves<span style="color: #0000FF;">}<span style="color: #0000FF;">)</span>
|
||||
<span style="color: #000000;">t1</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">time<span style="color: #0000FF;">(<span style="color: #0000FF;">)<span style="color: #0000FF;">+<span style="color: #000000;">1</span>
|
||||
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
|
||||
<span style="color: #008080;">if</span> <span style="color: #000000;">space<span style="color: #0000FF;">=<span style="color: #000000;">piece</span> <span style="color: #008080;">and</span> <span style="color: #000000;">board<span style="color: #0000FF;">=<span style="color: #000000;">goal</span> <span style="color: #008080;">then</span>
|
||||
<span style="color: #000000;">moves</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">moves<span style="color: #0000FF;">[<span style="color: #000000;">1<span style="color: #0000FF;">..<span style="color: #000000;">mdx<span style="color: #0000FF;">]</span> <span style="color: #000080;font-style:italic;">-- (trim)</span>
|
||||
<span style="color: #008080;">return</span> <span style="color: #004600;">true</span>
|
||||
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
|
||||
<span style="color: #008080;">if</span> <span style="color: #000000;">solve<span style="color: #0000FF;">(<span style="color: #000000;">nfree<span style="color: #0000FF;">-<span style="color: #000000;">zcost<span style="color: #0000FF;">,<span style="color: #000000;">new_space<span style="color: #0000FF;">,<span style="color: #000000;">mdx<span style="color: #0000FF;">+<span style="color: #000000;">1<span style="color: #0000FF;">,<span style="color: #000000;">5<span style="color: #0000FF;">-<span style="color: #000000;">move<span style="color: #0000FF;">)</span> <span style="color: #008080;">then</span>
|
||||
<span style="color: #008080;">return</span> <span style="color: #004600;">true</span>
|
||||
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
|
||||
<span style="color: #000000;">board<span style="color: #0000FF;">[<span style="color: #000000;">new_space<span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">piece</span>
|
||||
<span style="color: #000000;">board<span style="color: #0000FF;">[<span style="color: #000000;">space<span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span>
|
||||
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
|
||||
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
|
||||
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
|
||||
<span style="color: #008080;">return</span> <span style="color: #004600;">false</span>
|
||||
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
|
||||
|
||||
<span style="color: #7060A8;">pp<span style="color: #0000FF;">(<span style="color: #000000;">board<span style="color: #0000FF;">,<span style="color: #0000FF;">{<span style="color: #000000;">pp_IntFmt<span style="color: #0000FF;">,<span style="color: #008000;">"%2d"<span style="color: #0000FF;">,<span style="color: #000000;">pp_Maxlen<span style="color: #0000FF;">,<span style="color: #000000;">17<span style="color: #0000FF;">}<span style="color: #0000FF;">)</span>
|
||||
|
||||
<span style="color: #004080;">atom</span> <span style="color: #000000;">t0</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">time<span style="color: #0000FF;">(<span style="color: #0000FF;">)</span>
|
||||
<span style="color: #004080;">integer</span> <span style="color: #000000;">n</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span>
|
||||
<span style="color: #008080;">while</span> <span style="color: #008080;">not</span> <span style="color: #000000;">solve<span style="color: #0000FF;">(<span style="color: #000000;">n<span style="color: #0000FF;">,<span style="color: #000000;">space<span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span> <span style="color: #000000;">n</span> <span style="color: #0000FF;">+=</span> <span style="color: #000000;">1</span> <span style="color: #008080;">end</span> <span style="color: #008080;">while</span>
|
||||
<span style="color: #7060A8;">printf<span style="color: #0000FF;">(<span style="color: #000000;">1<span style="color: #0000FF;">,<span style="color: #008000;">"solution of %d moves found in %s: %s\n"<span style="color: #0000FF;">,</span>
|
||||
<span style="color: #0000FF;">{<span style="color: #7060A8;">length<span style="color: #0000FF;">(<span style="color: #000000;">moves<span style="color: #0000FF;">)<span style="color: #0000FF;">,<span style="color: #7060A8;">elapsed<span style="color: #0000FF;">(<span style="color: #7060A8;">time<span style="color: #0000FF;">(<span style="color: #0000FF;">)<span style="color: #0000FF;">-<span style="color: #000000;">t0<span style="color: #0000FF;">)<span style="color: #0000FF;">,<span style="color: #000000;">moves<span style="color: #0000FF;">}<span style="color: #0000FF;">)
|
||||
<!--
|
||||
Loading…
Add table
Add a link
Reference in a new issue