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November 17, 2016 17:15
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Matrix binary search
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class Matrix | |
Coordinate = Struct.new(:x, :y) | |
def initialize(grid) | |
@grid = grid | |
end | |
def binary_search(n) | |
row = find_row(n, 0, grid.count - 1) | |
return nil unless row | |
col = grid[row].index(n) | |
return nil unless col | |
Coordinate.new(row, col) | |
end | |
private | |
attr_reader :grid | |
def find_row(n, low, high) | |
return nil if low > high | |
r = (high + low) / 2 | |
if grid[r][0] <= n | |
if r == grid.count - 1 || grid[r + 1][0] > n | |
r | |
else | |
find_row(n, r + 1, high) | |
end | |
else | |
find_row(n, low, r - 1) | |
end | |
end | |
end | |
matrix = Matrix.new([ | |
[1, 3, 5, 7], | |
[10, 11, 16, 20], | |
[23, 30, 34, 50], | |
[51, 60, 64, 65], | |
[70, 71, 72, 100] | |
]) | |
puts matrix.binary_search(16) || 'Not found!' | |
puts matrix.binary_search(50) || 'Not found!' | |
puts matrix.binary_search(-1) || 'Not found!' | |
puts matrix.binary_search(100) || 'Not found!' | |
puts matrix.binary_search(63) || 'Not found!' | |
puts matrix.binary_search(64) || 'Not found!' |
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