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November 26, 2018 16:07
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triangle kata
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# https://github.com/Tarqwyn/Kata-Triangle | |
# This test is all about finding the shortest route. | |
# Given we have triangle, find the shortest path expressed as a sum of the values from top to bottom. | |
# At each step you may move to adjacent numbers on the row below. | |
triangle = [ | |
[2], | |
[3,4], | |
[6,5,7], | |
[4,1,8,3] | |
] | |
# answer 11 (2 + 3 + 5 + 1) | |
triangle1 = [ | |
[1], | |
[4,3], | |
[8,2,6], | |
[2,3,9,7] | |
] | |
# answer 9 (1 + 3 + 2 + 3) | |
triangle2 = [ | |
[3], | |
[6,4], | |
[3,4,7], | |
[3,8,3,6] | |
] | |
# answer 14 (3 + 4 + 4 + 3) | |
triangle3 = [ | |
[2], | |
[9,6], | |
[4,5,8], | |
[1,2,3,6] | |
] | |
# answer 15 (2 + 6 + 5 + 2) | |
triangle5 = [[2], [3,4], [6,5,7], [4,1,2,3], [4,2,8,1,2],[5,4,8,7,3,2]] | |
# answer 16 | |
triangle6 = [[2], [3, 4], [6, 5, 7], [4, 1, 2, 3], [4, 2, 2, 1, 2], [5, 4, 8, 4, 3, 2], [6, 5, 9, 1, 4, 3, 2]] | |
# answer 18 | |
big = [ | |
[55], | |
[94, 48], | |
[95, 30, 96], | |
[77, 71, 26, 67], | |
[97, 13, 76, 38, 45], | |
[07, 36, 79, 16, 37, 68], | |
[48, 07, 9, 18, 70, 26, 06], | |
[18, 72, 79, 46, 59, 79, 29, 90], | |
[20, 76, 87, 11, 32, 07, 07, 49, 18], | |
[27, 83, 58, 35, 71, 11, 25, 57, 29, 85], | |
[14, 64, 36, 96, 27, 11, 58, 56, 92, 18, 55], | |
[02, 90, 03, 60, 48, 49, 41, 46, 33, 36, 47, 23], | |
[92, 50, 48, 02, 36, 59, 42, 79, 72, 20, 82, 77, 42], | |
[56, 78, 38, 80, 39, 75, 02, 71, 66, 66, 01, 03, 55, 72], | |
[44, 25, 67, 84, 71, 67, 11, 61, 40, 57, 58, 89, 40, 56, 36], | |
[85, 32, 25, 85, 57, 48, 84, 35, 47, 62, 17, 01, 01, 99, 89, 52], | |
[06, 71, 28, 75, 94, 48, 37, 10, 23, 51, 6, 48, 53, 18, 74, 98, 15], | |
[27, 02, 92, 23, 8, 71, 76, 84, 15, 52, 92, 63, 81, 10, 44, 10, 69, 93] | |
] | |
def parse_triangle(triangle) | |
while triangle.length != 1 do | |
summed_row = [] | |
last_row = triangle.pop | |
second_last_row = triangle.pop | |
for i in (0...second_last_row.length) do | |
summed_row.push [second_last_row[i] + last_row[i], second_last_row[i] + last_row[i+1]].min | |
end | |
triangle.push summed_row; | |
end | |
puts "Sum = #{triangle[0][0]}" | |
end | |
# parse_triangle(triangle) | |
# parse_triangle(triangle1) | |
# parse_triangle(triangle2) | |
# parse_triangle(triangle3) | |
# parse_triangle(triangle5) | |
# parse_triangle(triangle6) | |
parse_triangle(big) | |
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