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#!/usr/bin/perl |
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require 5; |
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package Games::Alak; |
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14375
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use strict; |
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use vars qw($Tree $Term $Max_depth $VERSION); |
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$VERSION = '0.19'; |
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# BEGIN {$^W = 1}; # warnings on |
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3
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use constant BOARD_SIZE => 11; |
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3
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244
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10
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use constant ENDGAME => 1000; |
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3
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341
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11
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die( "Board_size " , BOARD_SIZE, " is too small!") if BOARD_SIZE < 9; |
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use constant NEW_BOARD_STRING => |
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('xxxx' . ('.' x (BOARD_SIZE - 8)) . 'oooo'); |
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5
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15
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#-------------------------------------------------------------------------- |
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sub play { |
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my($x_best_move, @o_move_chosen, $from, $to); |
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21
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0
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$Max_depth = 3; # must be an integer > 0 |
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0
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$Tree = _new_node(NEW_BOARD_STRING, 'x', -1,-10,0); |
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24
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3
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3
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3496
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use Term::ReadLine; |
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12091
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3
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11123
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0
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$Term = Term::ReadLine->new('Alak'); |
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0
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my $out = $Term->OUT; |
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0
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0
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select($out) if $out; |
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29
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0
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print "Lookahead set to $Max_depth. I am X, you are O.\n"; |
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0
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print "Enter h for help\n"; |
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32
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Main_loop: |
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0
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while(1) { |
34
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0
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grow($Tree); |
35
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0
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$x_best_move = optimal_move($Tree, 'x'); |
36
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37
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0
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0
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die "No X move possible?!" unless $x_best_move; |
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0
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$Tree = $x_best_move; # select that node |
39
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40
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0
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printf "X moves from %s to %s, yielding %s\n", |
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1 + $Tree->{'last_move_from'}, |
42
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1 + $Tree->{'last_move_to'}, |
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$Tree->{'board'}; |
44
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45
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0
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0
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if($Tree->{'endgame'}) { |
46
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0
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print "Endgame. X wins after ", |
47
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$Tree->{'move_count'}, " moves.\n"; |
48
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0
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last; |
49
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} |
50
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0
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0
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grow($Tree) unless @{$Tree->{'successors'}}; |
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51
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52
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0
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Get_move: |
53
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{ |
54
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0
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($from, $to) = prompt_for_next_move(); |
55
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0
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--$from; # we index from 0, not 1 |
56
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0
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--$to; |
57
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58
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# check legality |
59
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0
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@o_move_chosen = |
60
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grep $_->{'last_move_from'} eq $from && |
61
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$_->{'last_move_to'} eq $to, |
62
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0
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0
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@{$Tree->{'successors'}}; |
63
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0
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0
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if(@o_move_chosen > 1) { |
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0
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64
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0
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die "PANIC!? ", $Tree->{'board'}; |
65
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} elsif(@o_move_chosen == 0) { |
66
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0
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print "Invalid move!\n"; |
67
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0
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redo Get_move; |
68
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} else { |
69
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# That move designates just one successor |
70
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0
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$Tree = $o_move_chosen[0]; # select that node. |
71
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} |
72
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} |
73
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74
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0
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printf "O moves from %s to %s, yielding %s\n", |
75
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1 + $Tree->{'last_move_from'}, |
76
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1 + $Tree->{'last_move_to'}, |
77
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$Tree->{'board'}; |
78
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79
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0
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0
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if($Tree->{'endgame'}) { |
80
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0
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print "Endgame. O wins after ", |
81
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$Tree->{'move_count'}, " moves.\n"; |
82
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0
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last; |
83
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} |
84
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} |
85
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} |
86
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87
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#-------------------------------------------------------------------------- |
88
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89
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sub prompt_for_next_move { # prompting |
90
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0
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0
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0
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my $line; |
91
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0
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while(defined($line = $Term->readline('alak>'))) { |
92
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0
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$line =~ s/^\s+//s; |
93
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0
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$line =~ s/\s+$//s; |
94
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0
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0
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next unless length($line); |
95
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0
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$Term->addhistory($line); |
96
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97
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# Knuckle-headed command parsing: |
98
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99
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0
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0
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0
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if($line =~ m/^q/s) { |
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0
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0
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0
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0
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0
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0
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0
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0
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100
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0
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last; # quit |
101
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} elsif($line =~ m/^(\d+)\s*to\s*(\d+)$/s) { |
102
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0
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return($1, $2); |
103
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} elsif($line =~ m/^g(?:row)?$/s) { |
104
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0
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grow($Tree); |
105
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0
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print "Tree grown.\n"; |
106
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} elsif($line eq 'reset') { |
107
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0
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$Tree = _new_node(NEW_BOARD_STRING, 'o', -1,-1,0,0); |
108
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0
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grow($Tree); |
109
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0
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print "Board reset to ", NEW_BOARD_STRING, "\nYour move.\n"; |
110
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} elsif($line =~ m/^reset\s+([.ox]+)/s) { |
111
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0
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my $board = $1; |
112
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0
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0
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if(length($board) != BOARD_SIZE) { |
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0
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0
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0
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113
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0
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print "But a board has to be ", BOARD_SIZE, " wide, not ", |
114
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length($board), "\n"; |
115
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} elsif($board !~ m/\./s) { |
116
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0
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print "But there's no spaces on board $board\n"; |
117
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} elsif(($board =~ tr/x//) < 2) { |
118
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0
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print "But there's fewer than two x's in board $board\n"; |
119
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} elsif(($board =~ tr/o//) < 2) { |
120
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0
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print "But there's fewer than two o's in board $board\n"; |
121
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} else { |
122
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0
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$Tree = _new_node($board, 'o',-1,-1,0,0); |
123
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0
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grow($Tree); |
124
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0
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print "Board reset to $board\nYour move.\n"; |
125
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} |
126
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} elsif($line =~ m/^d(?:ump)?\s*(\d+)?$/s) { |
127
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0
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0
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dump_tree($Tree, defined($1) ? ($1 + 1) : undef); |
128
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} elsif($line eq 'advise' or $line eq 'advice') { |
129
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0
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my $m = optimal_move($Tree,'o'); |
130
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0
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printf "Try %d to %d.\n", |
131
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1 + $m->{'last_move_from'}, |
132
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1 + $m->{'last_move_to'}, |
133
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; |
134
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} elsif($line =~ m/l(?:ookahead)?\s+([1-9]+)$/s) { |
135
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0
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$Max_depth = $1; |
136
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0
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print "Lookahead set to $1.\n"; |
137
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} elsif($line =~ m/^h/s) { |
138
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0
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print |
139
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"Commands:\n", |
140
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" q -- quit\n", |
141
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" dump N -- dump game tree to depth N.\n", |
142
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" lookahead N -- set tree-deepening depth to N.\n", |
143
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" advise -- have me suggest a move.\n", |
144
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" reset -- start anew.\n", |
145
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" reset xxx.o.x..oo -- start anew from the board specified.\n", |
146
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" N to N -- move piece from N to N.\n", |
147
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" h -- help (this message)\n", |
148
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"\n", |
149
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} else { |
150
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0
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print "Unknown command. Enter h for help.\n"; |
151
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} |
152
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} |
153
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154
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# Either we got undef back, or lasted out from 'q' |
155
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0
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print "Quitting.\n"; |
156
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0
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exit; |
157
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} |
158
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159
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#-------------------------------------------------------------------------- |
160
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161
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sub _new_node { |
162
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return |
163
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{ |
164
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0
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0
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'board' => $_[0], |
165
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'whose_turn' => $_[1], |
166
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'last_move_from' => $_[2], |
167
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'last_move_to' => $_[3], |
168
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'last_move_payoff' => $_[4], |
169
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# payoff to x, that is. |
170
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'move_count' => $_[5], |
171
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'successors' => [], |
172
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}; |
173
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} |
174
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175
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#-------------------------------------------------------------------------- |
176
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177
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sub grow { |
178
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0
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0
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0
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my $n = $_[0]; |
179
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0
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0
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my $depth = $_[1] || 0; |
180
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0
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figure_successors($n) |
181
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unless |
182
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$depth >= $Max_depth |
183
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0
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0
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0
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or @{$n->{'successors'}} |
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0
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184
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or $n->{'endgame'}; |
185
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186
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0
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0
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if(@{$n->{'successors'}}) { |
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0
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187
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0
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my $a_payoff_sum = 0; |
188
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0
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foreach my $s (@{$n->{'successors'}}) { |
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0
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189
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0
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grow($s, $depth + 1); # RECURSE |
190
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0
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$a_payoff_sum += $s->{'average_payoff'}; |
191
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} |
192
|
0
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$n->{'average_payoff'} = |
193
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0
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$a_payoff_sum / @{$n->{'successors'}}; |
194
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} else { |
195
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0
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$n->{'average_payoff'} = $n->{'last_move_payoff'}; |
196
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} |
197
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} |
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199
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#-------------------------------------------------------------------------- |
200
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201
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sub optimal_move { |
202
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my($board, $mover) = @_; |
203
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# given a board (node), return the successors that are the |
204
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# best for the mover. |
205
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# (in scalar context, randomly choose from |
206
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# the best ones, if there's a tie for first place) |
207
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208
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0
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my @best_cases; |
209
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0
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foreach my $c (@{$board->{'successors'}}) { |
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210
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my $this_payoff = $c->{'average_payoff'}; |
211
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if(!@best_cases # nothing seen yet |
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0
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212
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or $best_cases[0]{'average_payoff'} == $this_payoff |
213
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# tie for first place so far |
214
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) { |
215
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0
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push @best_cases, $c; |
216
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} elsif( |
217
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$mover eq 'x' # does 'best' mean HIGH payoff? |
218
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? ($this_payoff > $best_cases[0]{'average_payoff'}) # max! |
219
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: ($this_payoff < $best_cases[0]{'average_payoff'}) # min! |
220
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) { |
221
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0
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@best_cases = ($c); |
222
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} |
223
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# otherwise what's there is not as good as what we've got |
224
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} |
225
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0
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return $best_cases[0] if @best_cases == 1; # no tie |
226
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0
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return $best_cases[rand @best_cases] if @best_cases; |
227
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0
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return undef; # shouldn't ever happen! |
228
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} |
229
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230
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231
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#-------------------------------------------------------------------------- |
232
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233
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{ |
234
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my($depth, $census, $max_depth_seen, $show_to_depth); |
235
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236
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sub dump_tree { |
237
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# wrapper around _dump_recursor |
238
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0
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0
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0
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my $starting_node; |
239
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0
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($starting_node, $show_to_depth) = @_; |
240
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# initialize things |
241
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0
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$depth = $census = $max_depth_seen = 0; |
242
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0
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_dump_recursor($starting_node); |
243
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0
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0
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printf "%d in tree of depth %d (branching factor %.2f)\n", |
244
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$census, $max_depth_seen, |
245
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$census ** (1/($max_depth_seen || 1)), |
246
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; |
247
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} |
248
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249
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sub _dump_recursor { |
250
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0
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0
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my $n = $_[0]; |
251
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252
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0
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++$census; |
253
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0
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0
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$max_depth_seen = $depth if $depth > $max_depth_seen; |
254
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0
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0
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0
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printf " %s%s %s %2s to %2s %s %s %s\n", |
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0
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0
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255
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' : ' x $depth, # indenting |
256
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$n->{'board'}, |
257
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$n->{'whose_turn'} eq 'o' ? 'x' : 'o', |
258
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# Count places on the board starting at 1: |
259
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1 + $n->{'last_move_from'}, |
260
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1 + $n->{'last_move_to'}, |
261
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omit_if_zero('Immediate score = ', $n->{'last_move_payoff'}), |
262
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omit_if_zero('Avg score = ', $n->{'average_payoff'}), |
263
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$n->{'endgame'} ? 'endgame' : '', |
264
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unless defined($show_to_depth) and $show_to_depth <= $depth; |
265
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266
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0
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0
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if(@{$n->{'successors'}}) { |
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0
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267
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0
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++$depth; |
268
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0
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foreach my $s (@{$n->{'successors'}}) { |
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0
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269
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0
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|
_dump_recursor($s); |
270
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} |
271
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0
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|
--$depth; |
272
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} |
273
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274
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0
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|
return; |
275
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} |
276
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} |
277
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278
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sub omit_if_zero { |
279
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0
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0
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0
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0
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|
return '' unless $_[1]; |
280
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0
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|
return join(' ', $_[0], substr($_[1],0,5)); |
281
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|
} |
282
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283
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|
#-------------------------------------------------------------------------- |
284
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285
|
|
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|
|
sub figure_successors { # ...of a given node |
286
|
0
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0
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0
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0
|
|
die "I need a board!" unless ref $_[0] eq 'HASH'; |
287
|
0
|
|
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|
|
|
my $node = $_[0]; |
288
|
0
|
0
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0
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|
|
|
return if $node->{'endgame'} |
|
|
|
0
|
|
|
|
|
289
|
|
|
|
|
|
|
or $node->{'board'} =~ tr/x// < 2 |
290
|
|
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|
or $node->{'board'} =~ tr/o// < 2; |
291
|
|
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|
|
|
292
|
0
|
|
|
|
|
|
my $board = $node->{'board'}; |
293
|
0
|
|
|
|
|
|
my $mover = $node->{'whose_turn'}; |
294
|
0
|
|
|
|
|
|
my $other; |
295
|
0
|
0
|
|
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|
|
if($mover eq 'x') { $other = 'o' } |
|
0
|
0
|
|
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|
|
296
|
0
|
|
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|
|
elsif ($mover eq 'o') { $other = 'x' } |
|
0
|
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|
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|
297
|
|
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|
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|
|
else {die "Mover \"$mover\" is neither x nor o!"; } |
298
|
|
|
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|
|
|
299
|
0
|
|
|
|
|
|
my $successors = $node->{'successors'}; |
300
|
0
|
0
|
|
|
|
|
die "I already figured successors for this!?" if @$successors; |
301
|
|
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|
|
|
|
|
302
|
0
|
|
0
|
|
|
|
my $this_move_count = 1 + ($node->{'move_count'} || 0); |
303
|
|
|
|
|
|
|
|
304
|
0
|
|
|
|
|
|
foreach(my $i = 0; $i < BOARD_SIZE; $i++) { |
305
|
0
|
0
|
|
|
|
|
next unless substr($board,$i,1) eq $mover; |
306
|
|
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|
|
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|
307
|
|
|
|
|
|
|
# Find the first blanks to the left and |
308
|
|
|
|
|
|
|
# to the right of the current piece |
309
|
0
|
|
|
|
|
|
foreach my $to ( |
310
|
|
|
|
|
|
|
rindex($board,'.',$i-1), |
311
|
|
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|
|
|
|
index($board,'.',$i+1), |
312
|
|
|
|
|
|
|
) { |
313
|
0
|
0
|
|
|
|
|
next if $to == -1; |
314
|
|
|
|
|
|
|
# if no move possible in this direction |
315
|
|
|
|
|
|
|
|
316
|
0
|
|
|
|
|
|
my $new_board = $board; |
317
|
0
|
|
|
|
|
|
substr($new_board, $i, 1) = '.'; # move from... |
318
|
0
|
|
|
|
|
|
substr($new_board, $to,1) = $mover; # ...to |
319
|
|
|
|
|
|
|
|
320
|
0
|
|
|
|
|
|
my $payoff = 0; |
321
|
|
|
|
|
|
|
|
322
|
|
|
|
|
|
|
# Now see if a move from $i to $to deletes nonmover's pieces! |
323
|
|
|
|
|
|
|
# Look for mover's piece and other pieces in the part of |
324
|
|
|
|
|
|
|
# the board that's to my left, and my right. |
325
|
|
|
|
|
|
|
# (This is the only really scary code in this program. Honest!) |
326
|
0
|
0
|
0
|
|
|
|
$payoff += length $1 # look to the left |
|
|
0
|
|
|
|
|
|
327
|
|
|
|
|
|
|
if $to > 1 and |
328
|
|
|
|
|
|
|
$mover eq 'o' |
329
|
0
|
|
|
|
|
|
? substr($new_board,0,$to) =~ s/o(x+)$/'o' . ('.' x length $1)/se |
330
|
0
|
|
|
|
|
|
: substr($new_board,0,$to) =~ s/x(o+)$/'x' . ('.' x length $1)/se; |
331
|
0
|
0
|
0
|
|
|
|
$payoff += length $1 # look to the right |
|
|
0
|
|
|
|
|
|
332
|
|
|
|
|
|
|
if $to < BOARD_SIZE - 2 and |
333
|
|
|
|
|
|
|
$mover eq 'o' |
334
|
0
|
|
|
|
|
|
? substr($new_board,$to+1) =~ s/^(x+)o/('.' x length $1) . 'o'/se |
335
|
0
|
|
|
|
|
|
: substr($new_board,$to+1) =~ s/^(o+)x/('.' x length $1) . 'x'/se; |
336
|
|
|
|
|
|
|
|
337
|
|
|
|
|
|
|
# Exaggerate payoff if $mover wins |
338
|
0
|
|
|
|
|
|
my $is_endgame; |
339
|
0
|
0
|
|
|
|
|
if( grep($_ eq $other, split '', $new_board) < 2 ) { |
340
|
0
|
|
|
|
|
|
$payoff = ENDGAME; |
341
|
0
|
|
|
|
|
|
$is_endgame = 1; |
342
|
|
|
|
|
|
|
} |
343
|
0
|
0
|
|
|
|
|
$payoff = 0 - $payoff if $mover eq 'o'; |
344
|
|
|
|
|
|
|
# harming X is a /negative/ payoff |
345
|
|
|
|
|
|
|
|
346
|
0
|
|
|
|
|
|
push @$successors, |
347
|
|
|
|
|
|
|
_new_node( |
348
|
|
|
|
|
|
|
$new_board, |
349
|
|
|
|
|
|
|
$other, # it's other guy's turn now |
350
|
|
|
|
|
|
|
$i, |
351
|
|
|
|
|
|
|
$to, |
352
|
|
|
|
|
|
|
$payoff, |
353
|
|
|
|
|
|
|
$this_move_count, |
354
|
|
|
|
|
|
|
); |
355
|
0
|
0
|
|
|
|
|
$successors->[-1]{'endgame'} = 1 if $is_endgame; |
356
|
|
|
|
|
|
|
# THAT node shouldn't have successors |
357
|
|
|
|
|
|
|
} |
358
|
|
|
|
|
|
|
} |
359
|
0
|
|
|
|
|
|
return; |
360
|
|
|
|
|
|
|
} |
361
|
|
|
|
|
|
|
|
362
|
|
|
|
|
|
|
#-------------------------------------------------------------------------- |
363
|
|
|
|
|
|
|
play() unless caller; |
364
|
|
|
|
|
|
|
# if this module is what was run (instead of used), then start game |
365
|
|
|
|
|
|
|
|
366
|
|
|
|
|
|
|
#-------------------------------------------------------------------------- |
367
|
|
|
|
|
|
|
1; |
368
|
|
|
|
|
|
|
|
369
|
|
|
|
|
|
|
__END__ |