iter 1. lower bound: 12.07912, upper bound: 21 iter 2. lower bound: 12.52955, upper bound: 21 iter 3. lower bound: 12.60117, upper bound: 21 iter 4. lower bound: 13.07361, upper bound: 21 iter 5. lower bound: 13.07648, upper bound: 20 iter 6. lower bound: 13.37006, upper bound: 20 iter 7. lower bound: 13.44925, upper bound: 20 iter 8. lower bound: 13.57652, upper bound: 19 iter 9. lower bound: 13.84968, upper bound: 19 iter 10. lower bound: 13.94710, upper bound: 19 iter 11. lower bound: 14.00157, upper bound: 19 iter 12. lower bound: 14.26611, upper bound: 19 iter 13. lower bound: 14.33340, upper bound: 19 iter 14. lower bound: 14.42741, upper bound: 19 iter 15. lower bound: 14.45430, upper bound: 19 iter 16. lower bound: 14.81514, upper bound: 19 iter 17. lower bound: 14.81589, upper bound: 19 iter 18. lower bound: 14.82432, upper bound: 19 iter 19. lower bound: 14.85182, upper bound: 19 iter 20. lower bound: 14.92944, upper bound: 19 iter 21. lower bound: 14.97965, upper bound: 19 iter 22. lower bound: 15.01624, upper bound: 19 iter 23. lower bound: 15.17381, upper bound: 19 iter 24. lower bound: 15.31726, upper bound: 19 iter 25. lower bound: 15.35412, upper bound: 19 iter 26. lower bound: 15.36936, upper bound: 19 iter 27. lower bound: 15.42521, upper bound: 19 iter 28. lower bound: 15.46653, upper bound: 19 iter 29. lower bound: 15.47446, upper bound: 19 iter 30. lower bound: 15.50535, upper bound: 19 iter 31. lower bound: 15.52097, upper bound: 19 iter 32. lower bound: 15.59739, upper bound: 19 iter 33. lower bound: 15.62697, upper bound: 19 iter 34. lower bound: 15.79106, upper bound: 19 iter 35. lower bound: 15.79258, upper bound: 19 iter 36. lower bound: 15.91686, upper bound: 19 iter 37. lower bound: 15.96041, upper bound: 19 iter 38. lower bound: 15.96547, upper bound: 19 iter 39. lower bound: 15.98528, upper bound: 19 iter 40. lower bound: 16.08896, upper bound: 19 iter 41. lower bound: 16.11944, upper bound: 19 iter 42. lower bound: 16.15250, upper 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iter 105. lower bound: 17.77094, upper bound: 19 iter 106. lower bound: 17.79007, upper bound: 19 iter 107. lower bound: 17.79349, upper bound: 19 iter 108. lower bound: 17.79718, upper bound: 19 iter 109. lower bound: 17.83019, upper bound: 19 iter 110. lower bound: 17.87240, upper bound: 19 iter 111. lower bound: 17.87329, upper bound: 19 iter 112. lower bound: 17.88281, upper bound: 19 iter 113. lower bound: 17.90250, upper bound: 19 iter 114. lower bound: 17.90440, upper bound: 19 iter 115. lower bound: 17.91703, upper bound: 19 iter 116. lower bound: 17.92242, upper bound: 19 iter 117. lower bound: 17.93319, upper bound: 19 iter 118. lower bound: 17.94829, upper bound: 19 iter 119. lower bound: 17.95183, upper bound: 19 iter 120. lower bound: 17.96673, upper bound: 19 iter 121. lower bound: 17.97417, upper bound: 19 iter 122. lower bound: 17.98042, upper bound: 19 iter 123. lower bound: 17.99566, upper bound: 19 iter 124. lower bound: 18.03875, upper bound: 19 done.