project-euler/Sidef/018 Maximum path sum I.sf

#!/usr/bin/ruby

# Author: Daniel "Trizen" Șuteu
# License: GPLv3
# Website: https://github.com/trizen

# Find the maximum total from top to bottom of the triangle below.

# https://projecteuler.net/problem=18

# Runtime: 0.173s

var data = <<'EOT';
75
95 64
17 47 82
18 35 87 10
20 04 82 47 65
19 01 23 75 03 34
88 02 77 73 07 63 67
99 65 04 28 06 16 70 92
41 41 26 56 83 40 80 70 33
41 48 72 33 47 32 37 16 94 29
53 71 44 65 25 43 91 52 97 51 14
70 11 33 28 77 73 17 78 39 68 17 57
91 71 52 38 17 14 91 43 58 50 27 29 48
63 66 04 68 89 53 67 30 73 16 69 87 40 31
04 62 98 27 23 09 70 98 73 93 38 53 60 04 23
EOT

var triangle = data.lines.map{.words.map{.to_i}};

func max_value(i=0, j=0) is cached {
    i == triangle.len && return 0;
    triangle[i][j] + [max_value(i+1, j), max_value(i+1, j+1)].max;
}

say max_value();