Created
March 28, 2013 19:19
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What is the greatest product of four adjacent numbers in the same direction (up, down, left, right, or diagonally) in the 20x20 grid?
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class Celery | |
def initialize(grid) | |
@grid = grid | |
@height = grid.length | |
@width = grid[0].length | |
end | |
def self.mini | |
[[ 0, 1, 2, 3, 4], | |
[10,11,12,13,14], | |
[20,21,22,23,24], | |
[30,31,32,33,34], | |
[40,41,42,43,44]] | |
end | |
def self.enormous_grid | |
[[ 8, 2, 22, 97, 38, 15, 0, 40, 0, 75, 4, 5, 7, 78, 52, 12, 50, 77, 91, 8], | |
[49, 49, 99, 40, 17, 81, 18, 57, 60, 87, 17, 40, 98, 43, 69, 48, 4, 56, 62, 0], | |
[81, 49, 31, 73, 55, 79, 14, 29, 93, 71, 40, 67, 53, 88, 30, 3, 49, 13, 36, 65], | |
[52, 70, 95, 23, 4, 60, 11, 42, 69, 24, 68, 56, 1, 32, 56, 71, 37, 2, 36, 91], | |
[22, 31, 16, 71, 51, 67, 63, 89, 41, 92, 36, 54, 22, 40, 40, 28, 66, 33, 13, 80], | |
[24, 47, 32, 60, 99, 3, 45, 2, 44, 75, 33, 53, 78, 36, 84, 20, 35, 17, 12, 50], | |
[32, 98, 81, 28, 64, 23, 67, 10, 26, 38, 40, 67, 59, 54, 70, 66, 18, 38, 64, 70], | |
[67, 26, 20, 68, 2, 62, 12, 20, 95, 63, 94, 39, 63, 8, 40, 91, 66, 49, 94, 21], | |
[24, 55, 58, 5, 66, 73, 99, 26, 97, 17, 78, 78, 96, 83, 14, 88, 34, 89, 63, 72], | |
[21, 36, 23, 9, 75, 0, 76, 44, 20, 45, 35, 14, 0, 61, 33, 97, 34, 31, 33, 95], | |
[78, 17, 53, 28, 22, 75, 31, 67, 15, 94, 3, 80, 4, 62, 16, 14, 9, 53, 56, 92], | |
[16, 39, 5, 42, 96, 35, 31, 47, 55, 58, 88, 24, 0, 17, 54, 24, 36, 29, 85, 57], | |
[86, 56, 0, 48, 35, 71, 89, 7, 5, 44, 44, 37, 44, 60, 21, 58, 51, 54, 17, 58], | |
[19, 80, 81, 68, 5, 94, 47, 69, 28, 73, 92, 13, 86, 52, 17, 77, 4, 89, 55, 40], | |
[ 4, 52, 8, 83, 97, 35, 99, 16, 7, 97, 57, 32, 16, 26, 26, 79, 33, 27, 98, 66], | |
[88, 36, 68, 87, 57, 62, 20, 72, 3, 46, 33, 67, 46, 55, 12, 32, 63, 93, 53, 69], | |
[ 4, 42, 16, 73, 38, 25, 39, 11, 24, 94, 72, 18, 8, 46, 29, 32, 40, 62, 76, 36], | |
[20, 69, 36, 41, 72, 30, 23, 88, 34, 62, 99, 69, 82, 67, 59, 85, 74, 4, 36, 16], | |
[20, 73, 35, 29, 78, 31, 90, 1, 74, 31, 49, 71, 48, 86, 81, 16, 23, 57, 5, 54], | |
[ 1, 70, 54, 71, 83, 51, 54, 69, 16, 92, 33, 48, 61, 43, 52, 1, 89, 19, 67, 48]] | |
end | |
def down(col,row) | |
unless row >= @height - 4 + 1 | |
0.upto(3).map do |x| | |
@grid[row + x][col] or raise [col, row].to_s | |
end | |
end | |
end | |
def right(col,row) | |
unless col >= @width - 4 + 1 | |
0.upto(3).map do |x| | |
puts "wtf" if @grid[row].nil? | |
@grid[row][col + x] or raise [col, row].to_s | |
end | |
end | |
end | |
def diagonal_right(col,row) | |
unless row >= (@height - 4 + 1) || col >= (@width - 4 + 1) | |
(0..3).map do |x| | |
@grid[row + x][col + x] or raise [col, row].to_s | |
end | |
end | |
end | |
def diagonal_left(col,row) | |
unless row >= (@height - 4 + 1) || col - 3 < 0 | |
(0..3).map do |x| | |
@grid[row + x][col - x] or raise [col, row].to_s | |
end | |
end | |
end | |
def solve | |
result = [] | |
0.upto(@width - 1).each do |x| | |
0.upto(@height - 1).each do |y| | |
#[(down x,y), (right x,y), (diagonal_right x,y), (diagonal_left x,y)].each { |action| | |
# result.push(action) | |
#} | |
result.push down(x, y), right(x, y), diagonal_right(x, y), diagonal_left(x, y) | |
end | |
end | |
result | |
end | |
end | |
hmmm = Celery.new(Celery.enormous_grid) | |
p "whaaaaaaat..." | |
result = hmmm.solve | |
# okay, so this returns the product: | |
p result.compact.map{ |x| x.inject(:*)}.max # or .max | |
p "finito." | |
# but how do i find the coordinates, also? | |
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