require 'set' Problem168 = Struct.new(:points) do def solve @distance_cache = [] w = isqrt(squared_distance_by_index(0, points.size - 1)) / 10 p 10 * (1..w + 1).bsearch {|d| reach? d } end private def isqrt(x) (1..x).bsearch {|r| x <= r ** 2 } end def reach?(d) sqlen = (d * 10) ** 2 goal = points.size - 1 stack = [0] todo = Set.new(1..goal) while i = stack.pop todo.each do |j| if squared_distance_by_index(i, j) <= sqlen return true if j.equal?(goal) todo.delete j stack << j end end end false end def squared_distance_by_index(ia, ib) ia, ib = ib, ia if ib < ia @distance_cache[ia * points.size + ib] ||= squared_distance(points[ia], points[ib]) end def squared_distance(a, b) ax, ay = a bx, by = b (ax - bx) ** 2 + (ay - by) ** 2 end end Problem168.new((1..gets.to_i).map{gets.split.map(&:to_i)}).solve