T = gets.to_i L = [] 100.upto(999) do |v| vs = v.digits.reverse next if vs.uniq.size < 3 if vs[0] < vs[1] && vs[1] > vs[2] L << vs elsif vs[0] > vs[1] && vs[1] < vs[2] L << vs end end def is_kadomatsu(v1, v2, v3) return false if v1 == v2 return false if v1 == v3 return false if v2 == v3 return false if v1 > v2 && v2 > v3 return false if v1 < v2 && v2 < v3 true end def f(k) nums = k.digits.reverse v1 = nums[0..2].join.to_i len = nums.size dp2 = Array.new(len) { Array.new(10) { Array.new(10, 0) } } L.each do |vs| v2 = vs[0..2].join.to_i next if v1 <= v2 dp2[2][vs[1]][vs[2]] += 1 end valid = is_kadomatsu(nums[0], nums[1], nums[2]) 3.upto(len - 1) do |i| d = nums[i] if valid v1 = nums[i - 2] v2 = nums[i - 1] (d - 1).downto(0) do |v3| if is_kadomatsu(v1, v2, v3) dp2[i][v2][v3] += 1 end end end valid &= is_kadomatsu(nums[i - 2], nums[i - 1], nums[i]) L.each do |vs| dp2[i][vs[1]][vs[2]] += 1 end 0.upto(9) do |v| 0.upto(9) do |u| next if v == u 0.upto(9) do |z| next if z == v next if z == u next if z < u && u < v next if z > u && u > v dp2[i][u][v] += dp2[i - 1][z][u] end end end end (0..9).map { |x| dp2[len-1][x].sum }.sum + 1 end T.times do k = gets.to_i ok = 102 ng = 37294859064823 + 1 while (ok - ng).abs >= 2 x = (ok + ng) / 2 if f(x) <= k ok = x else ng = x end end puts ok end