#!/usr/bin/perl use strict; use warnings; my %store; # Data stores using in process. Global out of laziness. my @sum_row; my @sum_range; my @table; # Read in the numbers while () { chomp; s/^\s+//;# Remove initial whitespace. s/\s+$//;# Remove trailing whitespace. next if /^\s*$/; #Ignore blank lines my @row = split /\s+/; push @table, \@row; } my $max_x = $#table; my $max_y = $#{$table[0]}; warn "Preparing row cache\n"; prepare_sum_row(); warn "Row Cache Constructed\n"; my ($max, @result ) = max_sum_range(); print "Best range ($result[0],$result[1]) , ($result[2],$result[3]) has maximum val $max\n"; exit 0; sub prepare_sum_row { # Prepare a cache of AoAoA of sum of intervales within each row # $sum_row[$x][$y_start][$y_end] is the sum of the cells in row # x from column y_start to y_end for my $x (0 .. $max_x) { for my $y_start (0 .. $max_y) { $sum_row[$x][$y_start][$y_start] = $table[$x][$y_start]; # First cell in the row for my $y_end ($y_start +1 .. $max_y) { $sum_row[$x][$y_start][$y_end] = $sum_row[$x][$y_start][$y_end-1] + # All previous cells $table[$x][$y_end]; # plust this one } }} } sub max_sum_range { # Note for ref lookup efficiency the matrix is in a funny order # $sum_range[$x_start][$y_start][$y_end][$x_end ] # is the sum of the range from (x_start,y_start) to (x_end,_y_end) my $max; for my $x_start (0..$max_x) { for my $y_start (0..$max_y) { my $row_ender = $sum_row[$x_start][$y_start]; #keep this ref hand my $range_cnr = $sum_range[$x_start][$y_start]=[]; #keep this ref handy too for my $y_end ($y_start .. $max_y ) { my $range_2cnrs= $range_cnr->[$y_end]; my $val = $range_2cnrs->[$x_start] = $row_ender->[$y_end]; if (!defined($max) or $max < $val ) { $max = $val; print "Range ($x_start,$y_start) , ($x_start,$y_end) is better with $val\n"; @result = ($x_start,$y_start,$x_start,$y_end); } for my $x_end ($x_start+1 .. $max_x) { $val = $range_2cnrs->[$x_end] = $range_2cnrs->[$x_end-1] + $sum_row[$x_end][$y_start][$y_end]; if ($max < $val) { $max = $val; print "Range ($x_start,$y_start) , ($x_end,$y_end) is better with $val\n"; @result = ($x_start,$y_start,$x_end,$y_end); } } } } } return ($max, @result); } __DATA__ 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 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 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 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 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 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 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 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 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 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 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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