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Solve a Hopido puzzle: Difference between revisions

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Solve a Hopido puzzle (view source)

Revision as of 21:04, 7 April 2022

13,792 bytes added ,  2 years ago
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→‎{{header|Phix}}: syntax coloured, made p2js compatible
m (→‎{{header|Phix}}: syntax coloured, made p2js compatible)
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=={{header|Phix}}==
Simple brute force approach.
<!--<lang Phix>sequence board(phixonline)-->
<span style="color: #008080;">with</span> <span style="color: #008080;">javascript_semantics</span>
 
<span style="color: #004080;">sequence</span> <span style="color: #000000;">board</span>
integer limit, tries
 
<span style="color: #004080;">integer</span> <span style="color: #000000;">limit</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">tries</span>
constant ROW = 1, COL = 2
constant moves = {{-2,-2},{-2,2},{2,-2},{2,2},{-3,0},{3,0},{0,-3},{0,3}}
<span style="color: #008080;">constant</span> <span style="color: #000000;">ROW</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">1</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">COL</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">2</span>
 
<span style="color: #008080;">constant</span> <span style="color: #000000;">moves</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{{-</span><span style="color: #000000;">2</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">2</span><span style="color: #0000FF;">},{-</span><span style="color: #000000;">2</span><span style="color: #0000FF;">,</span><span style="color: #000000;">2</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">2</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">2</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">2</span><span style="color: #0000FF;">,</span><span style="color: #000000;">2</span><span style="color: #0000FF;">},{-</span><span style="color: #000000;">3</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">3</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">3</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">3</span><span style="color: #0000FF;">}}</span>
function solve(integer row, integer col, integer n)
integer nrow, ncol
<span style="color: #008080;">function</span> <span style="color: #000000;">solve</span><span style="color: #0000FF;">(</span><span style="color: #004080;">integer</span> <span style="color: #000000;">row</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">integer</span> <span style="color: #000000;">col</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">integer</span> <span style="color: #000000;">n</span><span style="color: #0000FF;">)</span>
tries+= 1
<span style="color: #004080;">integer</span> <span style="color: #000000;">nrow</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">ncol</span>
if n>limit then return 1 end if
<span style="color: #000000;">tries</span><span style="color: #0000FF;">+=</span> <span style="color: #000000;">1</span>
for move=1 to length(moves) do
<span style="color: #008080;">if</span> <span style="color: #000000;">n</span><span style="color: #0000FF;">></span><span style="color: #000000;">limit</span> <span style="color: #008080;">then</span> <span style="color: #008080;">return</span> <span style="color: #000000;">1</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
nrow = row+moves[move][ROW]
<span style="color: #008080;">for</span> <span style="color: #000000;">move</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">moves</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
ncol = col+moves[move][COL]*3
<span style="color: #000000;">nrow</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">row</span><span style="color: #0000FF;">+</span><span style="color: #000000;">moves</span><span style="color: #0000FF;">[</span><span style="color: #000000;">move</span><span style="color: #0000FF;">][</span><span style="color: #000000;">ROW</span><span style="color: #0000FF;">]</span>
if nrow>=1 and nrow<=length(board)
<span style="color: #000000;">ncol</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">col</span><span style="color: #0000FF;">+</span><span style="color: #000000;">moves</span><span style="color: #0000FF;">[</span><span style="color: #000000;">move</span><span style="color: #0000FF;">][</span><span style="color: #000000;">COL</span><span style="color: #0000FF;">]*</span><span style="color: #000000;">3</span>
and ncol>=1 and ncol<=length(board[row])
<span style="color: #008080;">if</span> <span style="color: #000000;">nrow</span><span style="color: #0000FF;">>=</span><span style="color: #000000;">1</span> <span style="color: #008080;">and</span> <span style="color: #000000;">nrow</span><span style="color: #0000FF;"><=</span><span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">board</span><span style="color: #0000FF;">)</span>
and board[nrow][ncol]=' ' then
<span style="color: #008080;">and</span> <span style="color: #000000;">ncol</span><span style="color: #0000FF;">>=</span><span style="color: #000000;">1</span> <span style="color: #008080;">and</span> <span style="color: #000000;">ncol</span><span style="color: #0000FF;"><=</span><span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">board</span><span style="color: #0000FF;">[</span><span style="color: #000000;">row</span><span style="color: #0000FF;">])</span>
board[nrow][ncol-1..ncol] = sprintf("%2d",n)
<span style="color: #008080;">and</span> <span style="color: #000000;">board</span><span style="color: #0000FF;">[</span><span style="color: #000000;">nrow</span><span style="color: #0000FF;">][</span><span style="color: #000000;">ncol</span><span style="color: #0000FF;">]=</span><span style="color: #008000;">' '</span> <span style="color: #008080;">then</span>
if solve(nrow,ncol,n+1) then return 1 end if
<span style="color: #000000;">board</span><span style="color: #0000FF;">[</span><span style="color: #000000;">nrow</span><span style="color: #0000FF;">][</span><span style="color: #000000;">ncol</span><span style="color: #0000FF;">-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">..</span><span style="color: #000000;">ncol</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">sprintf</span><span style="color: #0000FF;">(</span><span style="color: #008000;">"%2d"</span><span style="color: #0000FF;">,</span><span style="color: #000000;">n</span><span style="color: #0000FF;">)</span>
board[nrow][ncol-1..ncol] = " "
<span style="color: #008080;">if</span> <span style="color: #000000;">solve</span><span style="color: #0000FF;">(</span><span style="color: #000000;">nrow</span><span style="color: #0000FF;">,</span><span style="color: #000000;">ncol</span><span style="color: #0000FF;">,</span><span style="color: #000000;">n</span><span style="color: #0000FF;">+</span><span style="color: #000000;">1</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">then</span> <span style="color: #008080;">return</span> <span style="color: #000000;">1</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
end if
<span style="color: #000000;">board</span><span style="color: #0000FF;">[</span><span style="color: #000000;">nrow</span><span style="color: #0000FF;">][</span><span style="color: #000000;">ncol</span><span style="color: #0000FF;">-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">..</span><span style="color: #000000;">ncol</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #008000;">" "</span>
end for
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
return 0
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
end function
<span style="color: #008080;">return</span> <span style="color: #000000;">0</span>
 
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
procedure Hopido(sequence s, integer w, integer h)
integer x, y
<span style="color: #008080;">procedure</span> <span style="color: #000000;">Hopido</span><span style="color: #0000FF;">(</span><span style="color: #004080;">sequence</span> <span style="color: #000000;">s</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">integer</span> <span style="color: #000000;">w</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">integer</span> <span style="color: #000000;">h</span><span style="color: #0000FF;">)</span>
atom t0 = time()
<span style="color: #004080;">integer</span> <span style="color: #000000;">rx</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">ry</span>
board = split(s,'\n')
<span style="color: #004080;">atom</span> <span style="color: #000000;">t0</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">time</span><span style="color: #0000FF;">()</span>
limit = 0
<span style="color: #000000;">board</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">split</span><span style="color: #0000FF;">(</span><span style="color: #000000;">s</span><span style="color: #0000FF;">,</span><span style="color: #008000;">'\n'</span><span style="color: #0000FF;">)</span>
for x=1 to h do
<span style="color: #000000;">limit</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span>
for y=3 to w*3 by 3 do
<span style="color: #008080;">for</span> <span style="color: #000000;">x</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #000000;">h</span> <span style="color: #008080;">do</span>
if board[x][y]='0' then
<span style="color: #008080;">for</span> <span style="color: #000000;">y</span><span style="color: #0000FF;">=</span><span style="color: #000000;">3</span> <span style="color: #008080;">to</span> <span style="color: #000000;">w</span><span style="color: #0000FF;">*</span><span style="color: #000000;">3</span> <span style="color: #008080;">by</span> <span style="color: #000000;">3</span> <span style="color: #008080;">do</span>
board[x][y] = ' '
<span style="color: #008080;">if</span> <span style="color: #000000;">board</span><span style="color: #0000FF;">[</span><span style="color: #000000;">x</span><span style="color: #0000FF;">][</span><span style="color: #000000;">y</span><span style="color: #0000FF;">]=</span><span style="color: #008000;">'0'</span> <span style="color: #008080;">then</span>
limit += 1
<span style="color: #000000;">board</span><span style="color: #0000FF;">[</span><span style="color: #000000;">x</span><span style="color: #0000FF;">][</span><span style="color: #000000;">y</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #008000;">' '</span>
end if
<span style="color: #000000;">limit</span> <span style="color: #0000FF;">+=</span> <span style="color: #000000;">1</span>
end for
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
end for
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
while 1 do
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
x = rand(h)
<span style="color: #008080;">while</span> <span style="color: #000000;">1</span> <span style="color: #008080;">do</span>
y = rand(w)*3
<span style="color: #000000;">rx</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">rand</span><span style="color: #0000FF;">(</span><span style="color: #000000;">h</span><span style="color: #0000FF;">)</span>
if board[x][y]=' ' then exit end if
<span style="color: #000000;">ry</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">rand</span><span style="color: #0000FF;">(</span><span style="color: #000000;">w</span><span style="color: #0000FF;">)*</span><span style="color: #000000;">3</span>
end while
<span style="color: #008080;">if</span> <span style="color: #000000;">board</span><span style="color: #0000FF;">[</span><span style="color: #000000;">rx</span><span style="color: #0000FF;">][</span><span style="color: #000000;">ry</span><span style="color: #0000FF;">]=</span><span style="color: #008000;">' '</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>
board[x][y] = '1'
<span style="color: #008080;">end</span> <span style="color: #008080;">while</span>
tries = 0
<span style="color: #000000;">board</span><span style="color: #0000FF;">[</span><span style="color: #000000;">rx</span><span style="color: #0000FF;">][</span><span style="color: #000000;">ry</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #008000;">'1'</span>
if solve(x,y,2) then
<span style="color: #000000;">tries</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span>
puts(1,join(board,"\n"))
<span style="color: #008080;">if</span> <span style="color: #000000;">solve</span><span style="color: #0000FF;">(</span><span style="color: #000000;">rx</span><span style="color: #0000FF;">,</span><span style="color: #000000;">ry</span><span style="color: #0000FF;">,</span><span style="color: #000000;">2</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">then</span>
printf(1,"\nsolution found in %d tries (%3.2fs)\n",{tries,time()-t0})
<span style="color: #7060A8;">puts</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #7060A8;">join</span><span style="color: #0000FF;">(</span><span style="color: #000000;">board</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"\n"</span><span style="color: #0000FF;">))</span>
else
<span style="color: #7060A8;">printf</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"\nsolution found in %d tries (%3.2fs)\n"</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">tries</span><span style="color: #0000FF;">,</span><span style="color: #7060A8;">time</span><span style="color: #0000FF;">()-</span><span style="color: #000000;">t0</span><span style="color: #0000FF;">})</span>
puts(1,"no solutions found\n")
<span style="color: #008080;">else</span>
end if
<span style="color: #7060A8;">puts</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"no solutions found\n"</span><span style="color: #0000FF;">)</span>
end procedure
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
 
<span style="color: #008080;">end</span> <span style="color: #008080;">procedure</span>
constant board1 = """
. 0 0 . 0 0 .
<span style="color: #008080;">constant</span> <span style="color: #000000;">board1</span> <span style="color: #0000FF;">=</span> <span style="color: #008000;">"""
0 0 0 0 0 0 0
0 . 0 0 0. 0 0 0.
. 0 0 0 0 0 0 .0
. 0 . 0 0 0 0 .0 .0
. .0 .0 0 .0 .0 ."""
. . 0 0 0 . .
Hopido(board1,7,6)</lang>
. . . 0 . . ."""</span>
<span style="color: #000000;">Hopido</span><span style="color: #0000FF;">(</span><span style="color: #000000;">board1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">7</span><span style="color: #0000FF;">,</span><span style="color: #000000;">6</span><span style="color: #0000FF;">)</span>
<!--</lang>-->
The best and worse cases observed were:
<pre>
Petelomax
7,820

edits

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