use strict;
use warnings;
use feature 'say';

use List::AllUtils <min max>;

my @circles = (
    [ 1.6417233788,  1.6121789534, 0.0848270516],
    [-1.4944608174,  1.2077959613, 1.1039549836],
    [ 0.6110294452, -0.6907087527, 0.9089162485],
    [ 0.3844862411,  0.2923344616, 0.2375743054],
    [-0.2495892950, -0.3832854473, 1.0845181219],
    [ 1.7813504266,  1.6178237031, 0.8162655711],
    [-0.1985249206, -0.8343333301, 0.0538864941],
    [-1.7011985145, -0.1263820964, 0.4776976918],
    [-0.4319462812,  1.4104420482, 0.7886291537],
    [ 0.2178372997, -0.9499557344, 0.0357871187],
    [-0.6294854565, -1.3078893852, 0.7653357688],
    [ 1.7952608455,  0.6281269104, 0.2727652452],
    [ 1.4168575317,  1.0683357171, 1.1016025378],
    [ 1.4637371396,  0.9463877418, 1.1846214562],
    [-0.5263668798,  1.7315156631, 1.4428514068],
    [-1.2197352481,  0.9144146579, 1.0727263474],
    [-0.1389358881,  0.1092805780, 0.7350208828],
    [ 1.5293954595,  0.0030278255, 1.2472867347],
    [-0.5258728625,  1.3782633069, 1.3495508831],
    [-0.1403562064,  0.2437382535, 1.3804956588],
    [ 0.8055826339, -0.0482092025, 0.3327165165],
    [-0.6311979224,  0.7184578971, 0.2491045282],
    [ 1.4685857879, -0.8347049536, 1.3670667538],
    [-0.6855727502,  1.6465021616, 1.0593087096],
    [ 0.0152957411,  0.0638919221, 0.9771215985],
);

my $x_min = min map { $_->[0] - $_->[2] } @circles;
my $x_max = max map { $_->[0] + $_->[2] } @circles;
my $y_min = min map { $_->[1] - $_->[2] } @circles;
my $y_max = max map { $_->[1] + $_->[2] } @circles;

my $box_side = 500;
my $dx = ($x_max - $x_min) / $box_side;
my $dy = ($y_max - $y_min) / $box_side;
my $count = 0;

for my $r (0..$box_side) {
    my $y = $y_min + $r * $dy;
    for my $c (0..$box_side) {
        my $x = $x_min + $c * $dx;
        for my $c (@circles) {
            $count++ and last if ($x - $$c[0])**2 + ($y - $$c[1])**2 <= $$c[2]**2
        }
    }
}

printf "Approximated area:%.9f\n", $count * $dx * $dy;