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#!/usr/bin/perl
use strict;
use warnings;
...
        $min = $nextmin;
    }
}

Benchmark: timing 100 iterations of Baseline, Integers, LR_1, LR_2, Qu
+eue, blokhead...
  Baseline: 0.554613 wallclock secs ( 0.54 usr +  0.01 sys =  0.55 CPU
+) @ 181.82/s (n=100)
            (warning: too few iterations for a reliable count)
...
LR_1     5.33/s     409%     271%      72%       --     -86%     -97%
Queue    39.2/s    3650%    2635%    1169%     636%       --     -78%
Baseline  182/s   17287%   12578%    5785%    3313%     364%       --

Benchmark: timing 100000 iterations of Baseline, Integers, LR_1, LR_2,
+ Queue, blokhead...
  Baseline: 1.62766 wallclock secs ( 1.63 usr +  0.00 sys =  1.63 CPU)
+ @ 61349.69/s (n=100000)
  Integers: 7.29155 wallclock secs ( 7.28 usr +  0.01 sys =  7.29 CPU)
+ @ 13717.42/s (n=100000)
...
LR_1     14245/s      41%      11%       4%       --     -49%     -77%
Queue    27778/s     175%     117%     103%      95%       --     -55%
Baseline 61350/s     507%     379%     347%     331%     121%       --