Path sum: two ways

AUTHOR

Moritz Lenz

https://projecteuler.net/problem=81

In the 5 by 5 matrix below, the minimal path sum from the top left to the bottom right, by only moving to the right and down, is indicated in bold and is equal to 2427.

āŽ›131 673 234 103 18āŽž āŽœ201 96 342 965 150āŽŸ āŽœ630 803 746 422 111āŽŸ āŽœ537 699 497 121 956āŽŸ āŽ805 732 524 37 331āŽ 

Find the minimal path sum, in matrix.txt, a 31K text file containing a 80 by 80 matrix, from the top left to the bottom right by only moving right and down.

use v6;



my @m;

my $matrix-file = $*SPEC.catdir($*PROGRAM-NAME.IO.dirname, 'matrix.txt');
my $f = open $matrix-file or die "Can't open file for reading: $!";
for $f.lines -> $line {
    @m.push: $line.comb(/\d+/).Array.item;
}
$f.close;

my ($max-x, $max-y) = +@m[0], +@m;

@m[0][$_] += @m[0][$_-1] for 1..$max-x-1;
@m[$_][0] += @m[$_-1][0] for 1..$max-y-1;

for 1..$max-y-1 -> $y {
    for 1..$max-x-1 -> $x {
        @m[$y][$x] += @m[$y-1][$x] min @m[$y][$x-1];
    }
}

say @m[*-1][*-1];

# vim: expandtab shiftwidth=4 ft=perl6

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Large sum

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Longest Collatz sequence

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Lattice paths

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Non-abundant sums

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Coin sums

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Digit factorials

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Double-base palindromes

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Pandigital multiples

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Integer right triangles

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Combinatoric selections

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Lychrel numbers

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XOR decryption

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Powerful digit counts

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Powerful digit counts

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Convergents of e

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Diophantine equation

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Maximum path sum II

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Square root digital expansion

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Square digit chains

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Largest exponential

README.md

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