class PriorityQueue def initialize(array = []) @data = [] array.each{|a| push(a)} end def push(element) @data.push(element) bottom_up end def pop if size == 0 return nil elsif size == 1 return @data.pop else min = @data[0] @data[0] = @data.pop top_down return min end end def size @data.size end private def swap(i, j) @data[i], @data[j] = @data[j], @data[i] end def parent_idx(target_idx) (target_idx - (target_idx.even? ? 2 : 1)) / 2 end def bottom_up target_idx = size - 1 return if target_idx == 0 parent_idx = parent_idx(target_idx) while (@data[parent_idx][1] > @data[target_idx][1]) swap(parent_idx, target_idx) target_idx = parent_idx break if target_idx == 0 parent_idx = parent_idx(target_idx) end end def top_down target_idx = 0 # child がある場合 while (has_child?(target_idx)) a = left_child_idx(target_idx) b = right_child_idx(target_idx) if @data[b].nil? c = a else c = @data[a][1] <= @data[b][1] ? a : b end if @data[target_idx][1] > @data[c][1] swap(target_idx, c) target_idx = c else return end end end # @param Integer # @return Integer def left_child_idx(idx) (idx * 2) + 1 end # @param Integer # @return Integer def right_child_idx(idx) (idx * 2) + 2 end # @param Integer # @return Boolent def has_child?(idx) ((idx * 2) + 1) < @data.size end end n, m = gets.split(" ").map{|s| s.to_i} w = Array.new(n) {Array.new(2, -Float::INFINITY)} 0.upto(n-1) {|i| w[i][1] = Float::INFINITY } w[0][0] = Float::INFINITY v = Array.new(n) {Array.new} m.times { s, t, d = gets.split(" ").map{|s| s.to_i} v[s-1] << [t-1, d] v[t-1] << [s-1, d] } 0.upto(n-1) {|i| v[i].sort_by!{|x| -x[1]} } que = PriorityQueue.new que.push([0, Float::INFINITY, 0]) while que.size > 0 do cv, cd, ci = que.pop v[cv].each {|nv, nd| nd = cd if cd < nd if nd > w[nv][0] or (nd == w[nv][0] and ci+1 < w[nv][1]) then w[nv] = [nd, ci+1] break if nv == n-1 que.push([nv, nd, ci+1]) end } end puts "#{w[n-1][0]} #{w[n-1][1]}"