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40 lines
868 B
40 lines
868 B
require "matrix"
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input = DATA.read
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machines = input.split("\n\n")
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.map {|machine| machine.scan(/\d+/).map(&:to_i).each_slice(2).to_a }
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def wins(machine)
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*ab, c = machine
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a, b = (Matrix.columns(ab).inverse * Matrix.column_vector(c)).to_a.flatten
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if [a, b].all? { _1.denominator == 1 }
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[a, b].map(&:to_i)
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else
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nil
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end
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end
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pp machines.map { wins(_1) }.compact.sum { 3 * _1 + _2 }
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pp machines
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.map {|a,b,c| [a,b,c.map { _1 + 10_000_000_000_000 }] }
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.map { wins(_1) }.compact.sum { 3 * _1 + _2 }
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__END__
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Button A: X+94, Y+34
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Button B: X+22, Y+67
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Prize: X=10000000008400, Y=10000000005400
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Button A: X+26, Y+66
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Button B: X+67, Y+21
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Prize: X=10000000012748, Y=10000000012176
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Button A: X+17, Y+86
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Button B: X+84, Y+37
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Prize: X=10000000007870, Y=10000000006450
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Button A: X+69, Y+23
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Button B: X+27, Y+71
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Prize: X=10000000018641, Y=10000000010279
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