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每年的3月,人们期望着普特(?)(?)学竞赛名次的发榜。人们注视着榜文,搜寻、辨认熟悉人的名字,察看今年哈佛大学参赛者有多少人进入了前10名,人们好奇地了解以前的优胜者的情况和取得的成绩。 1988年的一次竞赛,有两人得满分,竟有两人得满分!真是出乎人预料。人们不禁要问:在普特南竞赛史中,能有多少人得过满分的呢?1987年和1988年两次竞赛中,哈佛大学有3人进入了前5名,使人难以相信!那么,其它学校也有这么多人吗?1988年比约恩·普能(Bjorn Poonen)为第4次获胜。那么究竟一个人能获胜过多少次呢?1980年至1982年欧文·琼格里斯(Irwin Jungreis)取得了前10名,而1985年至1986年他的弟弟道格拉斯(Douglas)也是一个普特南获奖者。多么令人羡慕的一对兄弟呀!请问,还有那一个家庭曾经出现过两个普特南赛获奖者?
Every March, people expect the rankings of Putuo (?)? People watch the list, search, identify familiar names, look at how many of Harvard’s contestants entered the top 10 this year, and people are curious about previous winners and achievements. In 1988 a contest, two people got the perfect score, actually two people got the perfect score! One can not but ask: How many people in Putnam have won the perfect race? In 1987 and 1988, three of them entered the top five at Harvard University, making it unbelievable Is there so many other schools? In 1988, Bjorn Poonen won for the fourth time. How many times did a man win? The top 10 were Irwin Jungreis from 1980 to 1982, and his younger brother Douglas was a Putnam winner from 1985 to 1986 By. What an enviable pair of brothers! Excuse me, is there a family that has seen two Putnam winners?