31. 势不两立 pit sth against sth

　　32. 打折扣 wear thin / water down

　　33. 大展宏图 score big points

　　34. 重整旗鼓 shock sth back to life

　　35. 不谋而合 coincide with

　　36. 染指 dip one’s finger in

　　37. 博大精深 both extensive and profound

　　38. 源远流长 long-standing and well-established

　　39. 诸子百家 the masters’ hundred schools

　　40. 天下为公 All under heaven are equal.