P = gets.to_i dp = Array.new(P + 1) { Array.new(2, 0) } dp[0][0] = 8 dp[0][1] = 1 (P - 1).times do |i| dp[i + 1][0] += 9 * dp[i][0] dp[i + 1][1] += dp[i][0] dp[i + 1][1] += 10 * dp[i][1] end s1 = dp.map(&:last).sum s2 = (10 ** P) / 3 dp2 = Array.new(P + 1) { Array.new(3, 0) } dp3 = Array.new(P + 1) { Array.new(3, 0) } dp2[0][0] = 3 dp2[0][1] = 3 dp2[0][2] = 3 dp3[0][0] = 1 (P - 1).times do |i| b = 10 ** (i + 1) 0.upto(2) do |k| dp2[i + 1][k] += dp2[i][k] dp3[i + 1][k] += dp3[i][k] end 1.upto(9) do |j| m = (j * b) % 3 0.upto(2) do |k| nm = (m + k) % 3 if j == 3 dp3[i + 1][nm] += dp2[i][k] else dp2[i + 1][nm] += dp2[i][k] end dp3[i + 1][nm] += dp3[i][k] end end end s3 = dp3[P - 1][0] puts s1 + s2 - s3