私募股权投资基金投资者风险评级分析
Posted shuchang
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背景
根据基金业协会的相关规定,在投资者投资之前需要对其进行风险评价,基金业协会给了个人和机构版本的测评问卷,http://www.amac.org.cn/xhgg/tzgg/392058.shtml。
但是没有给分数,需要基金管理公司根据自身实际情况来设置分值,进而对投资者进行分级。
具体分级情况如下表
分值 | 风险偏好 |
0-20 | C1 |
20-40 | C2 |
40-60 | C3 |
60-80 | C4 |
80-100 | C5 |
过程
思路
自己首先根据基金业协会个人版本的测评问卷情况进行了分值设定,具体分值设定如下:
那么对其进行初步分析后,确实最大值是满分100分,最小值是19分,
那么如了解所有分值的分布情况呢,也就是说,当投资者在填写这个表的过程中,会出现各种各样的分值,那么需要在设计分值的过程中考虑到这些,考虑到所有分值的可能性,进而从侧面判断这个分值的设置是否合理。
总共有12道题,每个题目中有A、B、C、D、E,3-5个不等的选项,那么总共有24576000种可能性,
那么要对如此大量的数据进行分析,计划使用python来实现
python代码过程
# 首先创建12个列表 l1=[6,4,8,7,0] l2=[2,4,6,8,10] l3=[2,4,6,8] l4=[10,8,6,2] l5=[2,5,8] l6=[2,4,6,8] l7=[0,2.5,5,7.5,9] l8=[2,4,6,8] l9=[4,6,8,2] l10=[2,4,6,8] l11=[2,4,6,8] l12=[1,3,5,7] #求出各种可能的值 l=[] while 1: l1_1 = random.choice(l1) l2_1 = random.choice(l2) l3_1 = random.choice(l3) l4_1 = random.choice(l4) l5_1 = random.choice(l5) l6_1 = random.choice(l6) l7_1 = random.choice(l7) l8_1 = random.choice(l8) l9_1 = random.choice(l9) l10_1 = random.choice(l10) l11_1 = random.choice(l11) l12_1 = random.choice(l12) l13= l1_1 + l2_1 + l3_1 + l3_1 + l4_1 + l5_1 + l6_1 + l7_1 + l8_1 + l9_1 + l10_1 + l11_1 + l12_1 l.append(l13) print(l)
由于自己python技术不高,所以运行过程时间比较长,在运行了19619次以后暂停
得到了l列表结果
l=[87, 63, 65, 71, 73.5, 81.5, 52.5, 75.5, 79, 58.5, 63.5, 52, 58, 71, 57.5, 65.5, 72, 80, 65, 64.5, 69, 64, 80, 78.5, 71.5, 43, 65, 73, 75.5, 66.5, 70, 66, 64, 64.5, 69.5, 56, 75, 71, 54.5, 69, 67.5, 79.5, 73.5, 74, 46, 81.5, 57, 75.5, 62, 58, 62.5, 73, 61, 76, 69.5, 74, 64, 66.5, 59, 86, 72, 77, 73.5, 85.5, 82, 64.5, 55.5, 66, 54, 79, 61.5, 71.5, 69, 67, 49, 65, 53, 60, 62, 70, 56, 85.5, 75.5, 60, 57.5, 60, 87, 74, 46.5, 47.5, 65, 79.5, 80.5, 67, 67, 77, 71, 43, 62, 64.5, 68.5, 72, 56, 54, 58, 74, 61, 64, 64, 65.5, 54.5, 55, 78, 68, 69.5, 61.5, 78, 75.5, 75.5, 61, 76.5, 72.5, 73, 77, 80.5, 57.5, 68, 53, 53, 57, 66, 64, 67, 69.5, 77, 83, 69.5, 71, 71, 58.5, 51, 68, 65.5, 86, 72.5, 68.5, 67.5, 62.5, 52, 69, 51, 81, 62.5, 62.5, 77.5, 65.5, 82.5, 49.5, 77, 86, 66, 66, 70, 72.5, 67.5, 68, 57, 71.5, 63, 67, 69, 76, 53, 57, 62, 95, 73, 69, 65, 59, 60, 70, 51, 67.5, 56, 78, 68.5, 73.5, 68, 67, 53.5, 62, 80.5, 60, 64.5, 54, 83.5, 77, 70, 79.5, 65, 65, 68.5, 73, 71, 76, 56.5, 72, 85.5, 73, 62, 64.5, 51, 60.5, 70.5, 87, 67, 90.5, 61.5, 58, 61.5, 56, 67.5, 76.5, 70, 69, 71.5, 56.5, 67, 70, 77.5, 71, 55.5, 60, 75, 65.5, 67.5, 47, 80.5, 75.5, 64, 72.5, 74.5, 69.5, 57, 65, 72, 86.5, 63.5, 62.5, 60.5, 73.5, 64.5, 67, 76.5, 64, 51, 80, 70, 71, 65, 80.5, 53.5, 72, 56.5, 69.5, 66, 81, 79, 75.5, 74, 57.5, 70, 71.5, 65, 72.5, 75, 60, 67, 64.5, 64, 61, 64, 61.5, 62.5, 62, 63.5, 73, 72.5, 66.5, 76.5, 52.5, 66, 60, 60, 64.5, 53.5, 60.5, 71, 61, 70, 62, 68, 76, 66.5, 72, 74.5, 78.5, 67, 77, 87.5, 67.5, 56, 66, 63.5, 59, 70.5, 94.5, 55, 92, 63.5, 68.5, 74, 61, 58, 70, 64, 63, 51.5, 51.5, 74, 45, 76, 74.5, 66, 71, 67.5, 68, 64, 74.5, 78, 80, 64, 61.5, 88.5, 65.5, 75, 80, 71, 62.5, 67.5, 70, 53.5, 68, 59.5, 71, 62, 76, 53, 63, 82, 55.5, 51, 58.5, 72, 50.5, 63, 84, 49.5, 82, 63, 63.5, 66.5, 81, 50.5, 69, 70, 70.5, 58, 66, 70, 74.5, 55, 74.5, 55.5, 51, 80.5, 63, 63.5, 71.5, 67, 70, 68, 63.5, 52, 67, 73.5, 58.5, 69, 68, 50, 66.5, 62, 79, 57, 71.5, 64, 48.5, 83, 76.5, 68.5, 61.5, 72.5, 74, 52, 74, 61, 66, 88.5, 77.5, 74, 67, 70.5, 63, 64, 82, 60.5, 65.5, 75, 76.5, 65.5, 64.5, 73, 78, 68.5, 67, 69, 56.5, 79, 77, 74, 60, 71, 65, 81.5, 59, 77, 45, 76, 67.5, 55.5, 60, 80.5, 71, 61.5, 61, 76.5, 68.5, 50, 54.5, 71.5, 58, 66, 61.5, 51, 62, 64, 69.5, 66, 58.5, 73.5, 71, 79, 67.5, 80, 68.5, 72, 60.5, 66, 68.5, 83, 60, 76.5, 73.5, 44, 58, 68.5, 71.5, 69, 70, 90, 48.5, 61.5, 69, 76.5, 55, 60.5, 75, 40.5, 70.5, 62, 76, 60, 54, 57.5, 71.5, 62, 71.5, 64, 56, 71, 74, 72, 83.5, 79.5, 62, 56, 40.5, 58, 73.5, 76, 49, 57.5, 59.5, 73, 54, 63, 59, 53, 66.5, 56.5, 52, 73.5, 47, 61, 74, 72.5, 48, 68.5, 60.5, 79.5, 56, 69.5, 82.5, 78, 70.5, 74, 76.5, 67.5, 69, 56, 82.5, 62, 80, 67, 73, 63.5, 57.5, 69, 72, 76, 76.5, 81, 67, 57, 52.5, 49, 79, 60.5, 77.5, 73, 72.5, 65.5, 61.5, 47.5, 65, 73, 63, 66.5, 67.5, 73, 47.5, 89, 61.5, 69, 62, 85, 70, 63.5, 67.5, 72, 70, 78, 51, 66, 69, 60, 49, 54, 70.5, 68, 72, 81, 76, 67, 65.5, 73, 54, 65, 60.5, 74, 82, 69.5, 57, 75, 80, 53.5, 71, 64.5, 70, 82.5, 75.5, 91, 58, 63.5, 66.5, 50, 66, 61, 84.5, 74, 79, 55.5, 72.5, 64.5, 82, 77, 67.5, 82, 63, 83, 58, 55.5, 66.5, 54, 66.5, 76, 72.5, 60, 64, 74, 64.5, 61.5, 68.5, 55, 80, 80, 69, 71, 63, 48, 57.5, 65.5, 71, 73.5, 58, 59, 45, 80, 57.5, 81.5, 67, 57.5, 57.5, 57, 58, 74, 69, 61.5, 76, 75, 71, 78, 75.5, 54, 77.5, 72, 73, 68.5, 55.5, 63, 59, 65, 78.5, 63, 65.5, 70.5, 88, 61.5, 66, 60.5, 76.5, 88, 54.5, 56, 55, 78.5, 83.5, 49, 71, 76, 54, 65.5, 70.5, 74, 68, 73.5, 66.5, 82, 82, 73.5, 49.5, 55.5, 60, 63, 53, 75.5, 69.5, 61.5, 66, 59, 62.5, 75.5, 65, 61.5, 60.5, 64.5, 68, 63.5, 62.5, 76, 87, 64, 82.5, 73, 61, 70, 59.5, 68, 59, 57.5, 74, 78, 82.5, 60.5, 71.5, 64, 76.5, 55, 64, 67, 62.5, 75.5, 66, 55, 71, 60.5, 65.5, 64, 56.5, 80, 62, 67.5, 46, 71, 81.5, 59.5, 74.5, 60, 71, 64, 59.5, 89, 62, 65, 78.5, 53, 51.5, 62, 51, 62, 58.5, 72, 76.5, 70, 57, 69.5, 66.5, 45, 64.5, 70, 68.5, 64.5, 71.5, 76.5, 83, 84, 62, 53.5, 71.5, 53, 70, 69, 48, 80, 71, 64, 74.5, 58.5, 78.5, 78.5, 75, 63, 70, 77.5, 70, 63.5, 75.5, 62, 69.5, 75, 61, 57, 63, 59.5, 60, 55, 63.5, 62, 75, 61, 82, 67, 63, 65, 57, 83.5, 57.5, 60, 82, 62, 63, 73, 58, 73.5, 79.5, 80, 62, 66.5, 57, 57.5, 64, 50, 72, 70.5, 70.5, 62, 79, 68, 74, 51, 74, 56.5, 83, 66.5, 80, 66, 70.5, 77, 62, 75.5, 76, 66.5, 72.5, 62.5, 84, 60, 67, 74.5, 73, 68, 61, 66, 65.5, 68, 61.5, 58, 85.5, 66.5, 63.5, 56.5, 58.5, 62.5, 65, 62.5, 77, 57, 72, 59, 77.5, 63.5, 59.5, 71, 68, 73, 40, 71, 61.5, 52.5, 75.5, 74.5, 76.5, 75, 49, 63.5, 67.5, 62.5, 66.5, 58, 57, 74, 77.5, 65, 60.5, 76.5, 58, 71, 74.5, 58, 60.5, 70.5, 56.5, 41, 73, 64, 66.5, 78.5, 52, 54, 80, 68.5, 52.5, 77, 59.5, 54.5, 58, 50, 53, 62.5, 70.5, 64, 76, 64, 51, 49, 69, 62, 42, 80, 64, 56, 51.5, 58, 71, 67, 64, 66.5, 65.5, 60, 63.5, 65, 61.5, 79, 39.5, 59, 69.5, 70.5, 35, 79.5, 77, 82.5, 75.5, 52.5, 80.5, 74.5, 70, 67.5, 68.5, 60.5, 60, 65.5, 53.5, 69.5, 78, 68.5, 46, 63.5, 80.5, 72.5, 59.5, 70.5, 68, 64.5, 56, 70.5, 73, 69, 60.5, 64, 70, 78, 60, 60.5, 57, 78.5, 81, 72, 58, 46, 41, 53, 69.5, 70.5, 70.5, 61, 64, 70, 64.5, 61.5, 84, 58, 60, 69.5, 70.5, 66, 68, 58.5, 57, 78, 60, 60, 67.5, 55.5, 74.5, 51.5, 53.5, 80, 90.5, 50.5, 57, 63, 55, 70.5, 43.5, 64.5, 41.5, 65, 79.5, 62.5, 55, 57, 66.5, 61.5, 70, 74, 76, 63, 66.5, 67.5, 60, 59, 61.5, 66, 60, 69.5, 48.5, 67.5, 80, 68.5, 70, 68, 72, 60, 71.5, 57, 74, 46, 73.5, 53, 67.5, 60, 47, 58, 76, 66, 75.5, 73.5, 76.5, 65, 55, 74.5, 60, 82.5, 77.5, 69, 57.5, 68.5, 70, 60, 64.5, 67, 62, 54.5, 64, 69.5, 63, 66, 56, 49.5, 70.5, 62, 70.5, 70, 50, 74, 64, 62.5, 82, 69.5, 72, 65, 61, 61, 80, 68, 61, 60.5, 55, 70, 77, 70.5, 61, 55, 62, 56, 57, 85, 68.5, 45, 66.5, 79, 52, 76, 68, 82, 53.5, 74.5, 66.5, 58.5, 70.5, 54, 53, 53.5, 67, 70, 43.5, 65, 71.5, 70.5, 63, 61.5, 69.5, 72, 62, 60.5, 68.5, 65, 64.5, 58.5, 49, 81, 65.5, 65.5, 61, 63.5, 75, 77, 53.5, 51, 79.5, 78.5, 59, 79.5, 78, 86.5, 53.5, 59.5, 68, 74, 48, 65, 49.5, 78.5, 70, 60.5, 71, 69, 68, 72, 62, 62, 74.5, 53, 73.5, 68, 67, 69, 60.5, 49, 74.5, 68, 62.5, 88, 53, 53, 55.5, 54, 52, 76, 62, 49, 59, 69, 58.5, 60.5, 71, 66.5, 64.5, 64, 58, 59, 66, 58, 78, 63, 65.5, 83, 72, 72, 65.5, 66, 52, 55, 59.5, 82.5, 71, 61, 47.5, 61, 73, 65.5, 79, 65, 73, 57, 69.5, 47.5, 72.5, 66.5, 67, 67.5, 69, 81, 78, 68.5, 71, 75, 63, 58.5, 68, 69, 59.5, 62, 52, 70, 61, 70, 52, 69.5, 74, 58, 77, 86, 69, 62.5, 55.5, 53, 66, 61.5, 63, 55.5, 61.5, 81.5, 66, 86.5, 63.5, 61, 90.5, 68, 85.5, 69, 71, 58.5, 78.5, 70.5, 69, 60, 63.5, 49, 82.5, 53.5, 69, 82, 89, 64.5, 44, 71.5, 65.5, 79.5, 64.5, 63, 56, 68, 82, 58, 89, 60.5, 69, 57.5, 74.5, 72.5, 55.5, 58.5, 62, 51, 62, 59.5, 74.5, 60, 70.5, 50, 62, 77, 68.5, 59, 67, 58.5, 76, 68, 66, 61.5, 76.5, 54.5, 76, 53.5, 65.5, 63, 54, 68, 73.5, 70.5, 67.5, 81.5, 51.5, 72.5, 75.5, 70, 55, 66, 72, 68, 59, 66.5, 84.5, 57, 74.5, 70.5, 58.5, 59, 45, 73, 50.5, 72, 53, 55, 54, 84, 57, 81, 66.5, 53.5, 71.5, 74.5, 72, 54, 74, 83, 77, 76, 74.5, 68, 76, 67.5, 54, 59, 84.5, 70.5, 56, 70.5, 62, 70, 53.5, 58, 80.5, 69.5, 60.5, 55, 73.5, 73.5, 57.5, 58.5, 65.5, 70, 65.5, 72, 55, 75.5, 45.5, 65, 56, 79, 81.5, 61, 55, 78.5, 63.5, 69, 67, 68.5, 60, 87.5, 62, 75, 72.5, 79, 78.5, 71, 71, 66, 66.5, 63, 65, 69, 76, 45.5, 58.5, 70, 68.5, 64, 52, 64.5, 76.5, 61, 71, 66, 69, 71, 64, 62.5, 65.5, 78, 58, 56, 62, 61, 50, 68, 66, 62, 51.5, 71.5, 60.5, 64, 68, 59.5, 66.5, 58, 49.5, 54, 75, 51, 69, 78.5, 47.5, 71.5, 91.5, 84, 73, 58.5, 55, 58.5, 66, 63, 72, 63, 71, 60.5, 80.5, 71, 61, 76.5, 66.5, 66, 55, 86, 87.5, 47, 56, 69, 54.5, 81, 75, 76.5, 65.5, 68, 48, 64.5, 66, 67, 56, 73, 69.5, 82, 60.5, 69.5, 68.5, 71, 70, 65.5, 59, 56, 53.5, 62, 67.5, 65.5, 75, 79, 61, 65, 70, 47.5, 58, 72, 76, 78, 89, 86.5, 49, 78, 66.5, 58, 66.5, 67, 68, 56, 64, 68.5, 61, 76, 54, 75, 49.5, 75, 61, 61.5, 79.5, 72.5, 54, 83.5, 48, 55.5, 64, 65.5, 84.5, 62.5, 60, 73, 72, 58, 60, 52, 61, 69.5, 73, 57.5, 75.5, 68.5, 47, 63.5, 68.5, 66, 65.5, 66.5, 64, 74.5, 51, 75.5, 58, 59.5, 70, 67.5, 76, 68.5, 78.5, 54, 68, 58, 58, 63.5, 75.5, 86.5, 61, 61.5, 55, 50.5, 67.5, 55, 82, 92.5, 60, 54, 80, 62.5, 76.5, 82, 83, 73.5, 74, 69, 81, 60, 79, 66.5, 66, 61, 53.5, 48.5, 74, 54, 67, 69, 72.5, 60.5, 49, 78, 74, 64.5, 50, 58, 60, 78.5, 46.5, 81.5, 85.5, 61, 65.5, 62, 54, 80.5, 58, 54, 69, 65.5, 72, 72.5, 54, 63, 73, 71, 59, 51, 74.5, 78.5, 75.5, 69.5, 77, 60.5, 69.5, 79, 74.5, 77, 76, 69.5, 57, 66, 56.5, 66, 57.5, 67.5, 48, 51, 63, 74.5, 67.5, 83, 71, 62, 74, 66, 60, 58.5, 46, 56, 65, 81.5, 57, 71, 71, 74, 63, 51.5, 71, 69.5, 90, 43, 54.5, 62, 57, 65.5, 46, 82, 50.5, 68, 63, 69, 61, 74.5, 60.5, 65, 78, 68, 66, 81, 54, 68, 78.5, 47.5, 76, 55, 69, 63.5, 63, 45.5, 70, 38, 70, 59.5, 72, 62, 58, 67, 80, 84, 53, 45, 72, 61, 75, 60.5, 56, 80, 61.5, 72.5, 83.5, 58.5, 74, 66, 78.5, 63.5, 62, 68.5, 72, 45, 73, 66, 47.5, 67, 74, 69, 59, 61.5, 63, 60, 82, 69.5, 59, 65, 78, 56.5, 62, 63.5, 59.5, 72, 70.5, 44, 66.5, 65, 63.5, 79, 72, 64, 77, 55, 70, 59, 42, 55.5, 68.5, 59, 68.5, 82.5, 69, 55, 52, 64.5, 74, 64, 56.5, 65, 80, 38.5, 71.5, 74, 74.5, 72, 67, 65, 64, 57, 72, 68, 68.5, 60, 44, 71, 59, 67.5, 49.5, 65.5, 57.5, 57, 61, 57.5, 48.5, 63, 72.5, 69.5, 70, 66.5, 66, 57, 57, 63.5, 67.5, 65, 55, 71.5, 78.5, 79.5, 55, 74, 78, 65.5, 58.5, 64, 64.5, 54.5, 65, 69, 68, 56.5, 73.5, 67.5, 54, 56, 50.5, 61.5, 70.5, 51, 58, 76.5, 61.5, 54, 71, 66, 44, 62.5, 63, 73, 67.5, 61.5, 68.5, 65.5, 62, 56.5, 75.5, 64, 57.5, 75, 59, 87, 56, 59.5, 50, 68, 58.5, 60.5, 66.5, 49, 65.5, 73, 66, 51, 59.5, 60, 62, 75, 65.5, 61.5, 59, 79.5, 68.5, 79, 67, 65.5, 74, 75, 64.5, 66.5, 60, 48, 66.5, 69.5, 60, 53, 53.5, 64, 54.5, 70, 63, 54.5, 74.5, 64.5, 64, 65.5, 62, 59, 67, 69, 57.5, 74.5, 81, 51, 55, 63, 80, 66.5, 63, 73.5, 52, 74.5, 56.5, 62, 81.5, 70, 55.5, 67, 73.5, 79.5, 67, 70.5, 59.5, 68, 76, 49, 72, 73.5, 63.5, 70, 63, 67.5, 66, 62, 69.5, 67, 68, 54.5, 62, 64, 46.5, 73.5, 88, 54.5, 60.5, 60.5, 57, 75.5, 76, 70, 79, 64, 81.5, 66.5, 69.5, 67.5, 77, 70, 70.5, 67.5, 69.5, 63, 69, 72, 72, 72, 67.5, 65.5, 75, 73.5, 62, 61.5, 61.5, 57.5, 75.5, 56, 73.5, 76, 62.5, 60.5, 65, 74, 80.5, 81, 69, 57.5, 62, 45.5, 63.5, 79.5, 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70.5, 79, 63.5, 68, 59.5, 79.5, 64, 66, 62.5, 84, 87, 71, 50, 56.5, 76, 66, 61.5, 70, 49.5, 71, 72, 54.5, 68.5, 51.5, 61.5, 68, 74, 71, 89.5, 85, 74.5, 70.5, 75, 81, 71.5, 64, 66, 75, 65, 60, 70, 61.5, 68, 68, 71, 71.5, 69, 71.5, 62.5, 48, 53.5, 53, 68, 70, 68, 69, 55, 72.5, 77.5, 57, 59, 80.5, 69, 72.5, 45.5, 69.5, 58, 79.5, 62, 82, 81, 50, 77.5, 83.5, 66.5, 59, 60.5, 64.5, 73, 57.5, 58, 64, 70.5, 65.5, 54.5, 76.5, 72.5, 66, 74.5, 49, 78, 64.5, 63.5, 56, 54, 60, 61, 70, 74.5, 61, 63.5, 73, 66, 74.5, 70.5, 55, 77, 66, 70.5, 64.5, 63, 76, 58.5, 61, 65.5, 53.5, 83.5, 72.5, 57.5, 79, 78.5, 54, 71, 77, 77, 69.5, 60, 56, 64.5, 52, 80, 55.5, 73.5, 53.5, 64.5, 49, 74.5, 72.5, 70, 66, 57, 80, 71.5, 64.5, 58, 66.5, 43.5, 61, 39.5, 74, 75, 65, 71, 74.5, 66.5, 80.5, 74.5, 60.5, 80, 66, 63, 60.5, 58, 66, 75, 50.5, 52, 64.5, 60, 69.5, 88, 66, 49.5, 40.5, 56.5, 97, 67, 63.5, 72.5, 67.5, 62, 81, 68.5, 77, 55.5, 60, 84, 56, 58, 61, 66, 62, 58, 70, 80, 53, 77.5, 59, 68.5, 69.5, 60, 59, 56, 69.5, 61, 58.5, 78, 58, 70.5, 58.5, 63, 70, 60, 62, 58, 54, 52.5, 72, 60, 64, 78.5, 53.5, 64, 86.5, 43.5, 67.5, 65, 50, 55, 79, 77.5, 77.5, 60.5, 77.5, 68.5, 57.5, 74, 76, 58.5, 60.5, 67.5, 67.5, 77.5, 71, 42, 69, 60, 64, 46, 53.5, 57.5, 52, 83, 63, 70.5, 74.5, 56, 58, 81.5, 46, 63, 74, 76, 56, 69, 70.5, 54.5, 76, 81, 70, 63.5, 66.5, 70.5, 55.5, 64, 58, 69.5, 54, 76, 74, 79, 70, 62, 80.5, 56, 63.5, 51.5, 53.5, 77, 57, 76, 64, 45.5, 68, 73, 45, 81, 63.5, 79, 65.5, 58, 74, 66.5, 57.5, 68, 71, 72, 75, 72.5, 76, 69.5, 68.5, 71, 45, 66, 64, 73, 56, 68, 47, 64, 49.5, 84, 58, 58.5, 75.5, 75, 70.5, 67.5, 72, 58.5, 59, 68, 59.5, 82.5, 72, 71, 86, 66, 87, 85.5, 50, 71.5, 80, 71.5, 70, 73.5, 70, 75, 69, 71, 47.5, 54.5, 61.5, 79.5, 63, 74.5, 55, 63, 66, 73, 63.5, 53.5, 62.5, 69, 56.5, 82.5, 53, 59.5, 71, 57, 69.5, 70, 77, 49.5, 68.5, 84.5, 61, 46, 62.5, 61, 53, 88, 70, 51, 70, 63.5, 65, 64, 62.5, 64, 74, 67.5, 79, 50.5, 55.5, 63, 79.5, 51, 57, 52, 51, 64, 57, 73.5, 64.5, 78, 79.5, 76.5, 66, 62, 49, 77.5, 59, 63.5, 44, 74.5, 63.5, 82, 48.5, 66.5, 74, 58, 74, 73.5, 71, 64, 75, 70.5, 66, 70.5, 75.5, 65, 77, 70, 65.5, 59.5, 64, 66, 74, 73, 79.5, 52, 66.5, 76, 62.5, 61, 70.5, 71.5, 62, 58, 64, 64, 57, 88.5, 77.5, 69, 77.5, 75, 58, 63, 68.5, 77, 51, 70, 67, 68.5, 59.5, 66, 61, 52.5, 56, 59.5, 57, 59, 66, 73, 62, 49.5, 74.5, 87.5, 68, 59, 57, 57, 68.5, 59.5, 61, 51, 67.5, 48, 59.5, 79, 64.5, 62.5, 66.5, 57, 67.5, 74, 65, 50, 54, 80, 81, 65, 70.5, 49, 48, 71, 68, 62, 78.5, 72, 76.5, 71.5, 53, 72, 59, 73, 70.5, 66.5, 65.5, 53.5, 46.5, 61.5, 75.5, 64, 62.5, 74.5, 52, 60, 68, 70, 58, 65, 65.5, 62, 65.5, 54.5, 54.5, 66.5, 62, 65, 74, 67.5, 63.5, 65, 57, 65.5, 57.5, 79, 78, 58, 57, 55.5, 73.5, 49.5, 66, 78, 50, 66, 78, 67.5, 59, 51, 80, 58, 82, 65, 56.5, 61.5, 61, 74, 54, 62.5, 70.5, 62.5, 70, 73.5, 69.5, 62, 63, 55.5, 66.5, 78, 66, 66.5, 83, 70.5, 76.5, 58.5, 47, 70, 51, 64.5, 47, 72.5, 66.5, 61, 57.5, 56, 78.5, 65.5, 62.5, 65, 57, 71.5, 45, 59, 72, 62, 84, 51, 63, 61, 64.5, 78.5, 79, 74.5, 60.5, 67, 43, 60, 71, 64, 57.5, 60, 62, 72, 68.5, 69.5, 77, 70, 54, 65.5, 68, 55, 53, 68, 67, 70, 67, 76.5, 64.5, 63, 60.5, 63.5, 67, 59.5, 77, 60, 66, 79, 77, 66.5, 70.5, 59, 67, 54, 64, 62, 54, 76, 66, 65, 73, 66, 72, 55.5, 62, 70.5, 69.5, 92.5, 81.5, 58, 73.5, 80, 66, 80.5, 63.5, 56, 66, 52, 87, 69.5, 72, 64.5, 66.5, 70.5, 61, 59.5, 71.5, 58, 52, 61, 63.5, 66.5, 70, 62, 61.5, 59.5, 48, 58.5, 80, 74, 71, 56.5, 53.5, 70, 46, 60.5, 73.5, 73.5, 63.5, 81, 74.5, 76, 74.5, 63.5, 72, 58, 53, 78, 67.5, 64, 70, 73.5, 66, 64.5, 72.5, 67, 76.5, 66, 71, 67, 73.5, 85.5, 71, 67, 81.5, 83, 71, 69, 57, 64, 81.5, 58, 86, 53, 58.5, 60, 58.5, 63, 64.5, 58, 71, 62, 74, 86.5, 80, 63, 72, 58.5, 88, 60, 77.5, 68, 58, 53.5, 68, 64.5, 56.5, 69, 69.5, 66, 51.5, 66.5, 84, 74, 62, 89, 57, 62, 70.5, 78, 62, 60, 71.5, 78.5, 57, 79, 69, 59, 82, 55, 62, 70.5, 64, 62.5, 57, 55, 46.5, 75.5, 65.5, 78.5, 67.5, 64.5, 78.5, 68.5, 62.5, 76, 46, 62, 75, 72.5, 48.5, 53.5, 57.5, 57, 70.5, 63, 75.5, 80.5, 74, 63.5, 51.5, 84.5, 64, 70.5, 63, 84, 75, 91.5, 80, 55, 65, 64, 77.5, 66.5, 49.5, 44, 77, 60, 74, 55.5, 61.5, 83.5, 70, 65, 44.5, 58.5, 46.5, 50.5, 71, 53, 69.5, 63, 74, 60, 68, 85, 68.5, 77.5, 57.5, 77, 53.5, 76, 76, 56, 82, 61, 70, 65.5, 79, 86, 70.5, 80.5, 56.5, 64.5, 76, 64, 77.5, 81, 84.5, 66, 70, 71, 73.5, 69.5, 60.5, 71, 61, 69.5, 69.5, 52.5, 60.5, 63, 78, 70, 60, 59, 67, 67, 51.5, 63.5, 57, 61, 74.5, 71, 77, 81, 57, 51.5, 86.5, 56.5, 61.5, 42, 87.5, 55, 66, 66, 60.5, 62, 73, 59.5, 60, 64, 70.5, 75.5, 71, 67.5, 52, 54, 73, 60, 54, 51, 76, 70, 50.5, 61, 64, 63, 83.5, 77.5, 72, 52.5, 56, 78.5, 75, 70, 82, 67.5, 65.5, 58.5, 66, 72, 66.5, 52.5, 58, 60, 70, 57, 67.5, 63.5, 61, 63.5, 60, 82, 55.5, 82, 70.5, 70.5, 57, 75, 64, 76, 75.5, 59.5, 52.5, 88.5, 60.5, 58.5, 69, 46, 57.5, 59.5, 74, 58, 62, 72, 57, 66, 37.5, 77, 71, 57, 69, 61, 54, 64, 80, 55, 72, 78, 73, 66.5, 77, 71.5, 75.5, 61, 52.5, 78, 69.5, 90, 66.5, 73.5, 67, 50, 77, 72, 65.5, 51.5, 69.5, 89, 74.5, 66, 53, 69.5, 74.5, 68, 71.5, 74, 64, 65, 58, 61, 70, 66, 69.5, 66.5, 75.5, 70, 67, 83, 69, 58.5, 66, 72, 60, 67, 64.5, 70, 74, 59.5, 75, 81, 77.5, 70, 68.5, 68, 63.5, 63.5, 66.5, 70.5, 69.5, 57.5, 61, 71, 75, 54, 60, 43, 59, 60, 50, 65, 66.5, 61.5, 68, 64, 71.5, 71.5, 72.5, 65, 59.5, 88, 63.5, 72.5, 65, 61.5, 44, 74, 78.5, 62.5, 64.5, 74, 70.5, 90.5, 63.5, 49, 67.5, 66, 75, 80, 53.5, 58, 67, 54, 60, 71.5, 79, 73, 74, 89.5, 69.5, 56, 79, 65.5, 68, 64, 76, 65, 75, 71.5, 87, 72, 67, 73.5, 75, 63.5, 59.5, 55, 66, 62.5, 70.5, 73.5, 55.5, 61, 55.5, 66.5, 65, 70.5, 69, 65, 54, 71, 86.5, 69, 73.5, 47, 82.5, 70.5, 61.5, 61, 72.5, 52, 66.5, 61.5, 74, 59.5, 72, 69, 71.5, 66, 67, 76.5, 71, 67, 63, 54, 68.5, 72, 77, 69.5, 78.5, 74, 44, 64.5, 69.5, 56, 59, 77, 66.5, 75, 56.5, 53.5, 76.5, 66, 51.5, 74, 69, 73.5, 55, 70, 41, 59, 67, 75, 69.5, 56.5, 58.5, 63, 58, 62.5, 64, 59.5, 64, 69.5, 63.5, 53, 83, 80, 50, 77, 79, 44.5, 67.5, 86.5, 82, 74, 62, 41, 64, 67, 68, 66.5, 73, 64, 64.5, 65, 62.5, 70, 56, 63.5, 75, 59, 75.5, 67, 77, 68.5, 71, 67.5, 72, 69, 48, 64, 74, 63.5, 53, 63, 66, 72, 49, 59.5, 66.5, 71.5, 77, 64.5, 65.5, 66, 69, 65.5, 58, 54, 60, 59, 64, 52, 69.5, 62, 70.5, 50.5, 45, 48, 68.5, 68, 57.5, 59, 68, 67.5, 56.5, 67.5, 59.5, 73, 58.5, 72.5, 62, 59.5, 66, 79, 50.5, 81, 85, 70.5, 64.5, 60, 48, 55, 53, 66, 70, 66, 70, 50, 80.5, 58, 67.5, 80, 73.5, 61, 67, 59.5, 52.5, 70, 58, 54, 61, 47.5, 61, 60, 56, 67.5, 47.5, 67.5, 65, 74.5, 72, 80.5, 58, 73.5, 53.5, 53.5, 75.5, 71.5, 77, 65.5, 64.5, 67, 69, 73.5, 57.5, 79, 68, 58.5, 57, 62.5, 66, 53, 63.5, 69.5, 78, 61.5, 65, 49.5, 57.5, 73.5, 65.5, 59.5, 67, 74, 58, 69.5, 63.5, 65.5, 73, 56, 69.5, 71.5, 71, 60, 68.5, 87.5, 50.5, 83, 66, 56.5, 69, 64.5, 66.5, 74.5, 61.5, 68, 59.5, 56, 59, 51, 65.5, 51.5, 61, 68, 62.5, 66, 43.5, 84.5, 61.5, 63.5, 66, 66.5, 59, 77.5, 85.5, 69.5, 66, 60, 61, 64, 65.5, 55, 77, 51.5, 61.5, 74, 78.5, 66.5, 76, 62, 58.5, 56.5, 78, 57, 70.5, 71, 54, 61, 64, 60.5, 74, 55.5, 62.5, 63, 75, 56.5, 81, 62.5, 62, 73.5, 83.5, 61.5, 52.5, 69, 65, 84.5, 56, 59, 72, 68, 49.5, 72, 72, 85.5, 66, 55, 71, 78.5, 65.5, 86.5, 73, 75, 58.5, 75.5, 68, 57, 91, 67.5, 71.5, 58.5, 55.5, 43.5, 70, 65, 79, 68, 70, 48, 64.5, 55, 78, 69.5, 52, 65.5, 66, 71, 59, 76, 68.5, 61, 62, 72.5, 62, 59.5, 76.5, 67.5, 63.5, 67, 70, 75, 75, 60, 58.5, 56.5, 61.5, 64.5, 79, 59, 47, 51.5, 72, 70, 78, 69, 60.5, 88, 74, 69.5, 78, 70, 57.5, 92, 72.5, 78, 67.5, 74.5, 58, 68.5, 75, 68, 63.5, 58.5, 52.5, 65, 84, 60, 67.5, 57, 72.5, 47, 64, 82.5, 64, 59, 46, 74.5, 88.5, 62.5, 72, 75, 76.5, 60, 77, 60.5, 52, 66, 76.5, 75, 48, 73.5, 75, 65, 57.5, 60, 75.5, 71, 58, 66.5, 50.5, 64.5, 56.5, 84, 55, 57.5, 58, 80.5, 52, 84, 58, 72, 55, 74, 61, 57.5, 69, 50.5, 64, 60, 57.5, 71, 57, 60, 84, 67, 71, 69.5, 43, 68, 74, 63, 65.5, 74.5, 65, 56.5, 69.5, 75.5, 67, 70, 55.5, 80.5, 74, 69, 54.5, 78, 74.5, 69.5, 71.5, 58.5, 70.5, 59, 76, 68, 67, 53.5, 86.5, 65, 86, 80.5, 48, 62, 56, 67.5, 71, 70.5, 69, 55, 73, 67.5, 74.5, 73, 67, 54, 66.5, 74, 74.5, 69, 61, 67, 68, 80, 65.5, 58, 69, 74, 73.5, 64, 65, 59.5, 63.5, 58, 74.5, 64.5, 70, 60, 64.5, 70, 58, 77.5, 52, 68.5, 47.5, 62.5, 68, 64, 70, 84.5, 62.5, 60, 78, 68, 70, 73.5, 66, 54.5, 87, 59, 61.5, 72, 53.5, 71.5, 66, 53.5, 61.5, 70.5, 77, 56.5, 58, 69.5, 49.5, 66, 62.5, 75.5, 43, 65.5, 71, 58.5, 74, 73.5, 64, 51, 66, 60, 49.5, 54, 76, 61.5, 56.5, 58.5, 78.5, 64, 76, 57.5, 57, 69, 73.5, 67, 59, 64.5, 58.5, 67.5, 63, 63, 83, 91.5, 57.5, 71, 67.5, 66.5, 67.5, 47.5, 79, 52, 64.5, 60.5, 76, 60.5, 55, 66, 64.5, 72, 86, 70, 53.5, 43, 60, 87.5, 84, 56.5, 62.5, 54.5, 54, 58.5, 46, 76.5, 61, 64, 90, 72.5, 80.5, 55, 57.5, 61, 82.5, 77.5, 58.5, 57, 59.5, 59, 47, 73.5, 57, 57, 67, 74, 68, 75, 73, 76, 59.5, 71, 77, 76, 52, 58, 66, 72, 88, 64, 79, 72.5, 59, 50, 69.5, 58.5, 62.5, 68.5, 55.5, 51, 63.5, 56, 57, 85.5, 73, 72, 62.5, 62, 63.5, 55, 77.5, 50.5, 80, 56, 74.5, 54, 71, 74, 56.5, 65, 73, 72.5, 73, 65.5, 60.5, 70.5, 76.5, 65, 67, 53.5, 72.5, 72, 76.5, 71, 60.5, 64.5, 75, 61, 56.5, 76.5, 70, 69, 69, 47.5, 73, 62, 41, 53.5, 65, 58.5, 56, 74, 71.5, 67.5, 54, 58.5, 73, 77, 69, 63, 52, 68.5, 72.5, 68, 75, 77, 55.5, 71, 75, 64, 74, 65.5, 79, 64.5, 81, 61.5, 76, 68, 70, 73.5, 67, 69.5, 73.5, 66.5, 64, 74.5, 54.5, 52.5, 54, 81, 65.5, 62.5, 59.5, 61, 67, 63, 63.5, 71, 76.5, 86, 59.5, 63, 70.5, 73, 68, 68, 59.5, 59, 62.5, 49, 51, 72, 69.5, 64, 61, 62, 68.5, 85.5, 58, 61, 59, 71, 71, 76.5, 56, 53, 65, 67, 59, 52, 56.5, 80, 54.5, 66, 68, 64, 58.5, 64.5, 82, 78, 52, 72, 66, 67.5, 56.5, 77.5, 74, 65, 77.5, 55, 83.5, 97, 48.5, 71, 52, 63, 76.5, 53.5, 85, 67.5, 63, 47, 67, 69, 64, 74, 71, 54.5, 70, 74, 49, 66, 67.5, 66.5, 68, 65.5, 46, 70, 76.5, 57, 52.5, 48.5, 64, 58, 71, 71.5, 77.5, 81, 68, 79.5, 53, 78, 75.5, 68.5, 65, 66, 53, 68, 58, 73, 70.5, 68, 76, 64.5, 71, 47.5, 65.5, 71, 63.5, 45.5, 77, 66, 50.5, 62.5, 72, 69, 65, 48, 48, 92, 67, 67.5, 66, 59.5, 67.5, 66, 58.5, 64.5, 49, 60, 62, 54, 48.5, 69, 56, 64, 58, 58, 64, 67, 66.5, 72.5, 65, 63.5, 70.5, 71, 72.5, 69, 69, 58.5, 72, 73, 74, 61, 73, 62.5, 64, 61, 59, 64, 64.5, 54.5, 59, 65, 66, 70.5, 74, 68, 66.5, 65.5, 53, 81.5, 57, 73.5, 87, 63, 82, 67.5, 58, 74, 77.5, 71, 79.5, 72, 64, 70, 53.5, 77, 56.5, 65, 35.5, 76, 74, 67, 63, 68, 66.5, 71, 63, 68, 66.5, 59, 69, 63.5, 65, 57, 81, 52, 63, 70.5, 64.5, 64.5, 78.5, 60, 48.5, 69, 72, 70, 63.5, 77.5, 70.5, 59, 69, 44.5, 69]
并以此结果进行分析
数据分析代码
from collections import Counter import matplotlib.pyplot as plt l=[87, 63, 65, 71, 73.5, 81.5, 52.5, 75.5, 79, 58.5, 63.5, 52, 58, 71, 57.5, 65.5, 72, 80, 65, 64.5, 69, 64, 80, 78.5, 71.5, 43, 65, 73, 75.5, 66.5, 70, 66, 64, 64.5, 69.5, 56, 75, 71, 54.5, 69, 67.5, 79.5, 73.5, 74, 46, 81.5, 57, 75.5, 62, 58, 62.5, 73, 61, 76, 69.5, 74, 64, 66.5, 59, 86, 72, 77, 73.5, 85.5, 82, 64.5, 55.5, 66, 54, 79, 61.5, 71.5, 69, 67, 49, 65, 53, 60, 62, 70, 56, 85.5, 75.5, 60, 57.5, 60, 87, 74, 46.5, 47.5, 65, 79.5, 80.5, 67, 67, 77, 71, 43, 62, 64.5, 68.5, 72, 56, 54, 58, 74, 61, 64, 64, 65.5, 54.5, 55, 78, 68, 69.5, 61.5, 78, 75.5, 75.5, 61, 76.5, 72.5, 73, 77, 80.5, 57.5, 68, 53, 53, 57, 66, 64, 67, 69.5, 77, 83, 69.5, 71, 71, 58.5, 51, 68, 65.5, 86, 72.5, 68.5, 67.5, 62.5, 52, 69, 51, 81, 62.5, 62.5, 77.5, 65.5, 82.5, 49.5, 77, 86, 66, 66, 70, 72.5, 67.5, 68, 57, 71.5, 63, 67, 69, 76, 53, 57, 62, 95, 73, 69, 65, 59, 60, 70, 51, 67.5, 56, 78, 68.5, 73.5, 68, 67, 53.5, 62, 80.5, 60, 64.5, 54, 83.5, 77, 70, 79.5, 65, 65, 68.5, 73, 71, 76, 56.5, 72, 85.5, 73, 62, 64.5, 51, 60.5, 70.5, 87, 67, 90.5, 61.5, 58, 61.5, 56, 67.5, 76.5, 70, 69, 71.5, 56.5, 67, 70, 77.5, 71, 55.5, 60, 75, 65.5, 67.5, 47, 80.5, 75.5, 64, 72.5, 74.5, 69.5, 57, 65, 72, 86.5, 63.5, 62.5, 60.5, 73.5, 64.5, 67, 76.5, 64, 51, 80, 70, 71, 65, 80.5, 53.5, 72, 56.5, 69.5, 66, 81, 79, 75.5, 74, 57.5, 70, 71.5, 65, 72.5, 75, 60, 67, 64.5, 64, 61, 64, 61.5, 62.5, 62, 63.5, 73, 72.5, 66.5, 76.5, 52.5, 66, 60, 60, 64.5, 53.5, 60.5, 71, 61, 70, 62, 68, 76, 66.5, 72, 74.5, 78.5, 67, 77, 87.5, 67.5, 56, 66, 63.5, 59, 70.5, 94.5, 55, 92, 63.5, 68.5, 74, 61, 58, 70, 64, 63, 51.5, 51.5, 74, 45, 76, 74.5, 66, 71, 67.5, 68, 64, 74.5, 78, 80, 64, 61.5, 88.5, 65.5, 75, 80, 71, 62.5, 67.5, 70, 53.5, 68, 59.5, 71, 62, 76, 53, 63, 82, 55.5, 51, 58.5, 72, 50.5, 63, 84, 49.5, 82, 63, 63.5, 66.5, 81, 50.5, 69, 70, 70.5, 58, 66, 70, 74.5, 55, 74.5, 55.5, 51, 80.5, 63, 63.5, 71.5, 67, 70, 68, 63.5, 52, 67, 73.5, 58.5, 69, 68, 50, 66.5, 62, 79, 57, 71.5, 64, 48.5, 83, 76.5, 68.5, 61.5, 72.5, 74, 52, 74, 61, 66, 88.5, 77.5, 74, 67, 70.5, 63, 64, 82, 60.5, 65.5, 75, 76.5, 65.5, 64.5, 73, 78, 68.5, 67, 69, 56.5, 79, 77, 74, 60, 71, 65, 81.5, 59, 77, 45, 76, 67.5, 55.5, 60, 80.5, 71, 61.5, 61, 76.5, 68.5, 50, 54.5, 71.5, 58, 66, 61.5, 51, 62, 64, 69.5, 66, 58.5, 73.5, 71, 79, 67.5, 80, 68.5, 72, 60.5, 66, 68.5, 83, 60, 76.5, 73.5, 44, 58, 68.5, 71.5, 69, 70, 90, 48.5, 61.5, 69, 76.5, 55, 60.5, 75, 40.5, 70.5, 62, 76, 60, 54, 57.5, 71.5, 62, 71.5, 64, 56, 71, 74, 72, 83.5, 79.5, 62, 56, 40.5, 58, 73.5, 76, 49, 57.5, 59.5, 73, 54, 63, 59, 53, 66.5, 56.5, 52, 73.5, 47, 61, 74, 72.5, 48, 68.5, 60.5, 79.5, 56, 69.5, 82.5, 78, 70.5, 74, 76.5, 67.5, 69, 56, 82.5, 62, 80, 67, 73, 63.5, 57.5, 69, 72, 76, 76.5, 81, 67, 57, 52.5, 49, 79, 60.5, 77.5, 73, 72.5, 65.5, 61.5, 47.5, 65, 73, 63, 66.5, 67.5, 73, 47.5, 89, 61.5, 69, 62, 85, 70, 63.5, 67.5, 72, 70, 78, 51, 66, 69, 60, 49, 54, 70.5, 68, 72, 81, 76, 67, 65.5, 73, 54, 65, 60.5, 74, 82, 69.5, 57, 75, 80, 53.5, 71, 64.5, 70, 82.5, 75.5, 91, 58, 63.5, 66.5, 50, 66, 61, 84.5, 74, 79, 55.5, 72.5, 64.5, 82, 77, 67.5, 82, 63, 83, 58, 55.5, 66.5, 54, 66.5, 76, 72.5, 60, 64, 74, 64.5, 61.5, 68.5, 55, 80, 80, 69, 71, 63, 48, 57.5, 65.5, 71, 73.5, 58, 59, 45, 80, 57.5, 81.5, 67, 57.5, 57.5, 57, 58, 74, 69, 61.5, 76, 75, 71, 78, 75.5, 54, 77.5, 72, 73, 68.5, 55.5, 63, 59, 65, 78.5, 63, 65.5, 70.5, 88, 61.5, 66, 60.5, 76.5, 88, 54.5, 56, 55, 78.5, 83.5, 49, 71, 76, 54, 65.5, 70.5, 74, 68, 73.5, 66.5, 82, 82, 73.5, 49.5, 55.5, 60, 63, 53, 75.5, 69.5, 61.5, 66, 59, 62.5, 75.5, 65, 61.5, 60.5, 64.5, 68, 63.5, 62.5, 76, 87, 64, 82.5, 73, 61, 70, 59.5, 68, 59, 57.5, 74, 78, 82.5, 60.5, 71.5, 64, 76.5, 55, 64, 67, 62.5, 75.5, 66, 55, 71, 60.5, 65.5, 64, 56.5, 80, 62, 67.5, 46, 71, 81.5, 59.5, 74.5, 60, 71, 64, 59.5, 89, 62, 65, 78.5, 53, 51.5, 62, 51, 62, 58.5, 72, 76.5, 70, 57, 69.5, 66.5, 45, 64.5, 70, 68.5, 64.5, 71.5, 76.5, 83, 84, 62, 53.5, 71.5, 53, 70, 69, 48, 80, 71, 64, 74.5, 58.5, 78.5, 78.5, 75, 63, 70, 77.5, 70, 63.5, 75.5, 62, 69.5, 75, 61, 57, 63, 59.5, 60, 55, 63.5, 62, 75, 61, 82, 67, 63, 65, 57, 83.5, 57.5, 60, 82, 62, 63, 73, 58, 73.5, 79.5, 80, 62, 66.5, 57, 57.5, 64, 50, 72, 70.5, 70.5, 62, 79, 68, 74, 51, 74, 56.5, 83, 66.5, 80, 66, 70.5, 77, 62, 75.5, 76, 66.5, 72.5, 62.5, 84, 60, 67, 74.5, 73, 68, 61, 66, 65.5, 68, 61.5, 58, 85.5, 66.5, 63.5, 56.5, 58.5, 62.5, 65, 62.5, 77, 57, 72, 59, 77.5, 63.5, 59.5, 71, 68, 73, 40, 71, 61.5, 52.5, 75.5, 74.5, 76.5, 75, 49, 63.5, 67.5, 62.5, 66.5, 58, 57, 74, 77.5, 65, 60.5, 76.5, 58, 71, 74.5, 58, 60.5, 70.5, 56.5, 41, 73, 64, 66.5, 78.5, 52, 54, 80, 68.5, 52.5, 77, 59.5, 54.5, 58, 50, 53, 62.5, 70.5, 64, 76, 64, 51, 49, 69, 62, 42, 80, 64, 56, 51.5, 58, 71, 67, 64, 66.5, 65.5, 60, 63.5, 65, 61.5, 79, 39.5, 59, 69.5, 70.5, 35, 79.5, 77, 82.5, 75.5, 52.5, 80.5, 74.5, 70, 67.5, 68.5, 60.5, 60, 65.5, 53.5, 69.5, 78, 68.5, 46, 63.5, 80.5, 72.5, 59.5, 70.5, 68, 64.5, 56, 70.5, 73, 69, 60.5, 64, 70, 78, 60, 60.5, 57, 78.5, 81, 72, 58, 46, 41, 53, 69.5, 70.5, 70.5, 61, 64, 70, 64.5, 61.5, 84, 58, 60, 69.5, 70.5, 66, 68, 58.5, 57, 78, 60, 60, 67.5, 55.5, 74.5, 51.5, 53.5, 80, 90.5, 50.5, 57, 63, 55, 70.5, 43.5, 64.5, 41.5, 65, 79.5, 62.5, 55, 57, 66.5, 61.5, 70, 74, 76, 63, 66.5, 67.5, 60, 59, 61.5, 66, 60, 69.5, 48.5, 67.5, 80, 68.5, 70, 68, 72, 60, 71.5, 57, 74, 46, 73.5, 53, 67.5, 60, 47, 58, 76, 66, 75.5, 73.5, 76.5, 65, 55, 74.5, 60, 82.5, 77.5, 69, 57.5, 68.5, 70, 60, 64.5, 67, 62, 54.5, 64, 69.5, 63, 66, 56, 49.5, 70.5, 62, 70.5, 70, 50, 74, 64, 62.5, 82, 69.5, 72, 65, 61, 61, 80, 68, 61, 60.5, 55, 70, 77, 70.5, 61, 55, 62, 56, 57, 85, 68.5, 45, 66.5, 79, 52, 76, 68, 82, 53.5, 74.5, 66.5, 58.5, 70.5, 54, 53, 53.5, 67, 70, 43.5, 65, 71.5, 70.5, 63, 61.5, 69.5, 72, 62, 60.5, 68.5, 65, 64.5, 58.5, 49, 81, 65.5, 65.5, 61, 63.5, 75, 77, 53.5, 51, 79.5, 78.5, 59, 79.5, 78, 86.5, 53.5, 59.5, 68, 74, 48, 65, 49.5, 78.5, 70, 60.5, 71, 69, 68, 72, 62, 62, 74.5, 53, 73.5, 68, 67, 69, 60.5, 49, 74.5, 68, 62.5, 88, 53, 53, 55.5, 54, 52, 76, 62, 49, 59, 69, 58.5, 60.5, 71, 66.5, 64.5, 64, 58, 59, 66, 58, 78, 63, 65.5, 83, 72, 72, 65.5, 66, 52, 55, 59.5, 82.5, 71, 61, 47.5, 61, 73, 65.5, 79, 65, 73, 57, 69.5, 47.5, 72.5, 66.5, 67, 67.5, 69, 81, 78, 68.5, 71, 75, 63, 58.5, 68, 69, 59.5, 62, 52, 70, 61, 70, 52, 69.5, 74, 58, 77, 86, 69, 62.5, 55.5, 53, 66, 61.5, 63, 55.5, 61.5, 81.5, 66, 86.5, 63.5, 61, 90.5, 68, 85.5, 69, 71, 58.5, 78.5, 70.5, 69, 60, 63.5, 49, 82.5, 53.5, 69, 82, 89, 64.5, 44, 71.5, 65.5, 79.5, 64.5, 63, 56, 68, 82, 58, 89, 60.5, 69, 57.5, 74.5, 72.5, 55.5, 58.5, 62, 51, 62, 59.5, 74.5, 60, 70.5, 50, 62, 77, 68.5, 59, 67, 58.5, 76, 68, 66, 61.5, 76.5, 54.5, 76, 53.5, 65.5, 63, 54, 68, 73.5, 70.5, 67.5, 81.5, 51.5, 72.5, 75.5, 70, 55, 66, 72, 68, 59, 66.5, 84.5, 57, 74.5, 70.5, 58.5, 59, 45, 73, 50.5, 72, 53, 55, 54, 84, 57, 81, 66.5, 53.5, 71.5, 74.5, 72, 54, 74, 83, 77, 76, 74.5, 68, 76, 67.5, 54, 59, 84.5, 70.5, 56, 70.5, 62, 70, 53.5, 58, 80.5, 69.5, 60.5, 55, 73.5, 73.5, 57.5, 58.5, 65.5, 70, 65.5, 72, 55, 75.5, 45.5, 65, 56, 79, 81.5, 61, 55, 78.5, 63.5, 69, 67, 68.5, 60, 87.5, 62, 75, 72.5, 79, 78.5, 71, 71, 66, 66.5, 63, 65, 69, 76, 45.5, 58.5, 70, 68.5, 64, 52, 64.5, 76.5, 61, 71, 66, 69, 71, 64, 62.5, 65.5, 78, 58, 56, 62, 61, 50, 68, 66, 62, 51.5, 71.5, 60.5, 64, 68, 59.5, 66.5, 58, 49.5, 54, 75, 51, 69, 78.5, 47.5, 71.5, 91.5, 84, 73, 58.5, 55, 58.5, 66, 63, 72, 63, 71, 60.5, 80.5, 71, 61, 76.5, 66.5, 66, 55, 86, 87.5, 47, 56, 69, 54.5, 81, 75, 76.5, 65.5, 68, 48, 64.5, 66, 67, 56, 73, 69.5, 82, 60.5, 69.5, 68.5, 71, 70, 65.5, 59, 56, 53.5, 62, 67.5, 65.5, 75, 79, 61, 65, 70, 47.5, 58, 72, 76, 78, 89, 86.5, 49, 78, 66.5, 58, 66.5, 67, 68, 56, 64, 68.5, 61, 76, 54, 75, 49.5, 75, 61, 61.5, 79.5, 72.5, 54, 83.5, 48, 55.5, 64, 65.5, 84.5, 62.5, 60, 73, 72, 58, 60, 52, 61, 69.5, 73, 57.5, 75.5, 68.5, 47, 63.5, 68.5, 66, 65.5, 66.5, 64, 74.5, 51, 75.5, 58, 59.5, 70, 67.5, 76, 68.5, 78.5, 54, 68, 58, 58, 63.5, 75.5, 86.5, 61, 61.5, 55, 50.5, 67.5, 55, 82, 92.5, 60, 54, 80, 62.5, 76.5, 82, 83, 73.5, 74, 69, 81, 60, 79, 66.5, 66, 61, 53.5, 48.5, 74, 54, 67, 69, 72.5, 60.5, 49, 78, 74, 64.5, 50, 58, 60, 78.5, 46.5, 81.5, 85.5, 61, 65.5, 62, 54, 80.5, 58, 54, 69, 65.5, 72, 72.5, 54, 63, 73, 71, 59, 51, 74.5, 78.5, 75.5, 69.5, 77, 60.5, 69.5, 79, 74.5, 77, 76, 69.5, 57, 66, 56.5, 66, 57.5, 67.5, 48, 51, 63, 74.5, 67.5, 83, 71, 62, 74, 66, 60, 58.5, 46, 56, 65, 81.5, 57, 71, 71, 74, 63, 51.5, 71, 69.5, 90, 43, 54.5, 62, 57, 65.5, 46, 82, 50.5, 68, 63, 69, 61, 74.5, 60.5, 65, 78, 68, 66, 81, 54, 68, 78.5, 47.5, 76, 55, 69, 63.5, 63, 45.5, 70, 38, 70, 59.5, 72, 62, 58, 67, 80, 84, 53, 45, 72, 61, 75, 60.5, 56, 80, 61.5, 72.5, 83.5, 58.5, 74, 66, 78.5, 63.5, 62, 68.5, 72, 45, 73, 66, 47.5, 67, 74, 69, 59, 61.5, 63, 60, 82, 69.5, 59, 65, 78, 56.5, 62, 63.5, 59.5, 72, 70.5, 44, 66.5, 65, 63.5, 79, 72, 64, 77, 55, 70, 59, 42, 55.5, 68.5, 59, 68.5, 82.5, 69, 55, 52, 64.5, 74, 64, 56.5, 65, 80, 38.5, 71.5, 74, 74.5, 72, 67, 65, 64, 57, 72, 68, 68.5, 60, 44, 71, 59, 67.5, 49.5, 65.5, 57.5, 57, 61, 57.5, 48.5, 63, 72.5, 69.5, 70, 66.5, 66, 57, 57, 63.5, 67.5, 65, 55, 71.5, 78.5, 79.5, 55, 74, 78, 65.5, 58.5, 64, 64.5, 54.5, 65, 69, 68, 56.5, 73.5, 67.5, 54, 56, 50.5, 61.5, 70.5, 51, 58, 76.5, 61.5, 54, 71, 66, 44, 62.5, 63, 73, 67.5, 61.5, 68.5, 65.5, 62, 56.5, 75.5, 64, 57.5, 75, 59, 87, 56, 59.5, 50, 68, 58.5, 60.5, 66.5, 49, 65.5, 73, 66, 51, 59.5, 60, 62, 75, 65.5, 61.5, 59, 79.5, 68.5, 79, 67, 65.5, 74, 75, 64.5, 66.5, 60, 48, 66.5, 69.5, 60, 53, 53.5, 64, 54.5, 70, 63, 54.5, 74.5, 64.5, 64, 65.5, 62, 59, 67, 69, 57.5, 74.5, 81, 51, 55, 63, 80, 66.5, 63, 73.5, 52, 74.5, 56.5, 62, 81.5, 70, 55.5, 67, 73.5, 79.5, 67, 70.5, 59.5, 68, 76, 49, 72, 73.5, 63.5, 70, 63, 67.5, 66, 62, 69.5, 67, 68, 54.5, 62, 64, 46.5, 73.5, 88, 54.5, 60.5, 60.5, 57, 75.5, 76, 70, 79, 64, 81.5, 66.5, 69.5, 67.5, 77, 70, 70.5, 67.5, 69.5, 63, 69, 72, 72, 72, 67.5, 65.5, 75, 73.5, 62, 61.5, 61.5, 57.5, 75.5, 56, 73.5, 76, 62.5, 60.5, 65, 74, 80.5, 81, 69, 57.5, 62, 45.5, 63.5, 79.5, 50, 76.5, 61, 78.5, 76, 56.5, 69, 54, 54, 50, 49.5, 75, 64, 78.5, 70.5, 51, 72.5, 61, 67, 75.5, 70, 63, 71, 72.5, 71.5, 78, 64.5, 78, 70, 62, 67.5, 65.5, 54.5, 49, 84, 67.5, 64, 76.5, 71, 59, 52, 56, 72, 72.5, 82, 79, 54.5, 47, 74, 72, 49, 65.5, 66, 52, 68.5, 62, 68.5, 62.5, 64.5, 77.5, 80, 88, 65, 80, 72, 62, 71, 72.5, 60.5, 55.5, 73, 68, 82.5, 67.5, 51, 75, 60, 63.5, 62.5, 81, 66, 72, 69, 81.5, 72, 74.5, 66.5, 55, 67, 59.5, 72, 71, 47, 79, 79.5, 78, 53.5, 59.5, 55, 49, 58, 69, 70.5, 64, 68, 56, 72, 60, 60.5, 64.5, 62.5, 68.5, 70.5, 72, 64, 76, 72, 65.5, 66.5, 64, 58.5, 63.5, 76, 61.5, 72.5, 68.5, 67, 63, 83, 61, 64, 63, 74, 75, 58, 76.5, 47.5, 70, 61, 56, 78.5, 69.5, 63.5, 71.5, 55, 64.5, 55.5, 72, 85, 80, 66, 61.5, 66, 68, 53, 72, 75, 59, 61, 65, 67, 62, 79, 77, 56, 71.5, 75.5, 65.5, 71, 79, 60, 60, 59.5, 74, 79, 60.5, 79, 69.5, 72.5, 62.5, 53.5, 62.5, 58.5, 68, 77, 62, 77, 70.5, 71.5, 56, 72, 73.5, 52, 64.5, 67, 67, 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59, 74.5, 72.5, 79, 66, 61, 60, 51.5, 84.5, 51, 53, 69, 74, 65, 56, 78, 67, 44, 53, 60, 65, 67, 69, 53, 60.5, 47.5, 54.5, 60.5, 67.5, 65, 44, 60, 79.5, 57, 72.5, 61, 66.5, 76, 59, 66.5, 47, 77, 72, 66.5, 73, 65.5, 48.5, 59, 62, 60, 58, 73.5, 43, 59.5, 64, 62.5, 64.5, 62.5, 66, 50.5, 66, 61, 47, 68, 76, 82, 64, 79, 65.5, 74, 63, 85.5, 68, 59, 61, 68, 75, 87.5, 62, 67.5, 78, 60.5, 56.5, 65.5, 70, 58.5, 70, 71, 79.5, 68, 54, 84, 77, 57, 69, 70, 58.5, 55.5, 65, 50, 61.5, 66.5, 69, 72, 71, 61, 63, 73.5, 65, 65.5, 81, 54, 69.5, 61, 57, 65.5, 60, 56.5, 69.5, 70, 51, 69, 74, 62.5, 59, 70.5, 77, 65.5, 64, 87, 74, 82, 54, 65, 68, 65.5, 74, 63.5, 54, 64, 65, 64, 63, 53, 51.5, 65, 68, 59.5, 58.5, 66, 87, 68, 76, 64, 71.5, 61.5, 74, 77, 53.5, 87, 61.5, 67.5, 65.5, 66, 67.5, 64, 69, 73.5, 77, 66, 78, 57.5, 70, 64, 56.5, 76.5, 76.5, 69, 58, 70.5, 59.5, 73, 54, 63, 53, 61.5, 77.5, 81, 44, 59.5, 74.5, 71.5, 77, 53.5, 65.5, 51, 88, 54, 59, 60, 57.5, 49.5, 57.5, 80, 71.5, 68, 60, 77, 53, 83, 76.5, 78, 61, 63.5, 54, 78.5, 68, 66, 86, 79, 73, 67, 77.5, 76.5, 70, 65.5, 47, 65, 77, 60, 56.5, 67.5, 57, 74.5, 68, 56, 65.5, 62, 80, 82, 74, 72.5, 82, 53, 70, 67, 52.5, 50, 57.5, 69, 55, 73, 72, 58.5, 81, 47.5, 64, 65, 61, 67.5, 87, 63, 93, 60.5, 79, 52.5, 73, 86, 63, 69, 76, 76.5, 65, 62, 61, 73, 74.5, 52.5, 59.5, 84, 49.5, 54.5, 64, 70, 59.5, 59.5, 78.5, 98, 71, 60, 74.5, 69, 54.5, 63, 76.5, 72.5, 69.5, 64, 74, 73, 76, 55.5, 68.5, 62, 66, 80, 80, 64, 59, 73.5, 60, 80.5, 86, 66.5, 61.5, 70, 54, 50.5, 54.5, 64.5, 64, 66, 47, 72.5, 64.5, 74.5, 65.5, 68, 67, 84, 61.5, 69.5, 78.5, 76.5, 66.5, 63.5, 55, 59.5, 68.5, 70, 67.5, 72, 92.5, 57, 52.5, 80, 80, 69, 62.5, 59, 67.5, 67.5, 56, 70.5, 57, 40, 80, 70, 65, 69.5, 61.5, 64.5, 63.5, 55, 70, 46, 64.5, 65, 61, 74, 56, 61.5, 66, 61.5, 67.5, 51.5, 57.5, 87, 62.5, 67.5, 68.5, 58.5, 81.5, 82.5, 62, 59, 79, 70.5, 68, 58, 71, 66.5, 68, 56.5, 89.5, 54.5, 67.5, 62, 70, 64.5, 71.5, 84.5, 51, 73, 68, 74.5, 72, 53, 72.5, 65, 72, 59.5, 63, 59.5, 60.5, 68.5, 84.5, 60, 49, 64.5, 56.5, 62, 61.5, 74.5, 39.5, 73.5, 78.5, 52.5, 59, 76, 70.5, 79, 63.5, 68, 59.5, 79.5, 64, 66, 62.5, 84, 87, 71, 50, 56.5, 76, 66, 61.5, 70, 49.5, 71, 72, 54.5, 68.5, 51.5, 61.5, 68, 74, 71, 89.5, 85, 74.5, 70.5, 75, 81, 71.5, 64, 66, 75, 65, 60, 70, 61.5, 68, 68, 71, 71.5, 69, 71.5, 62.5, 48, 53.5, 53, 68, 70, 68, 69, 55, 72.5, 77.5, 57, 59, 80.5, 69, 72.5, 45.5, 69.5, 58, 79.5, 62, 82, 81, 50, 77.5, 83.5, 66.5, 59, 60.5, 64.5, 73, 57.5, 58, 64, 70.5, 65.5, 54.5, 76.5, 72.5, 66, 74.5, 49, 78, 64.5, 63.5, 56, 54, 60, 61, 70, 74.5, 61, 63.5, 73, 66, 74.5, 70.5, 55, 77, 66, 70.5, 64.5, 63, 76, 58.5, 61, 65.5, 53.5, 83.5, 72.5, 57.5, 79, 78.5, 54, 71, 77, 77, 69.5, 60, 56, 64.5, 52, 80, 55.5, 73.5, 53.5, 64.5, 49, 74.5, 72.5, 70, 66, 57, 80, 71.5, 64.5, 58, 66.5, 43.5, 61, 39.5, 74, 75, 65, 71, 74.5, 66.5, 80.5, 74.5, 60.5, 80, 66, 63, 60.5, 58, 66, 75, 50.5, 52, 64.5, 60, 69.5, 88, 66, 49.5, 40.5, 56.5, 97, 67, 63.5, 72.5, 67.5, 62, 81, 68.5, 77, 55.5, 60, 84, 56, 58, 61, 66, 62, 58, 70, 80, 53, 77.5, 59, 68.5, 69.5, 60, 59, 56, 69.5, 61, 58.5, 78, 58, 70.5, 58.5, 63, 70, 60, 62, 58, 54, 52.5, 72, 60, 64, 78.5, 53.5, 64, 86.5, 43.5, 67.5, 65, 50, 55, 79, 77.5, 77.5, 60.5, 77.5, 68.5, 57.5, 74, 76, 58.5, 60.5, 67.5, 67.5, 77.5, 71, 42, 69, 60, 64, 46, 53.5, 57.5, 52, 83, 63, 70.5, 74.5, 56, 58, 81.5, 46, 63, 74, 76, 56, 69, 70.5, 54.5, 76, 81, 70, 63.5, 66.5, 70.5, 55.5, 64, 58, 69.5, 54, 76, 74, 79, 70, 62, 80.5, 56, 63.5, 51.5, 53.5, 77, 57, 76, 64, 45.5, 68, 73, 45, 81, 63.5, 79, 65.5, 58, 74, 66.5, 57.5, 68, 71, 72, 75, 72.5, 76, 69.5, 68.5, 71, 45, 66, 64, 73, 56, 68, 47, 64, 49.5, 84, 58, 58.5, 75.5, 75, 70.5, 67.5, 72, 58.5, 59, 68, 59.5, 82.5, 72, 71, 86, 66, 87, 85.5, 50, 71.5, 80, 71.5, 70, 73.5, 70, 75, 69, 71, 47.5, 54.5, 61.5, 79.5, 63, 74.5, 55, 63, 66, 73, 63.5, 53.5, 62.5, 69, 56.5, 82.5, 53, 59.5, 71, 57, 69.5, 70, 77, 49.5, 68.5, 84.5, 61, 46, 62.5, 61, 53, 88, 70, 51, 70, 63.5, 65, 64, 62.5, 64, 74, 67.5, 79, 50.5, 55.5, 63, 79.5, 51, 57, 52, 51, 64, 57, 73.5, 64.5, 78, 79.5, 76.5, 66, 62, 49, 77.5, 59, 63.5, 44, 74.5, 63.5, 82, 48.5, 66.5, 74, 58, 74, 73.5, 71, 64, 75, 70.5, 66, 70.5, 75.5, 65, 77, 70, 65.5, 59.5, 64, 66, 74, 73, 79.5, 52, 66.5, 76, 62.5, 61, 70.5, 71.5, 62, 58, 64, 64, 57, 88.5, 77.5, 69, 77.5, 75, 58, 63, 68.5, 77, 51, 70, 67, 68.5, 59.5, 66, 61, 52.5, 56, 59.5, 57, 59, 66, 73, 62, 49.5, 74.5, 87.5, 68, 59, 57, 57, 68.5, 59.5, 61, 51, 67.5, 48, 59.5, 79, 64.5, 62.5, 66.5, 57, 67.5, 74, 65, 50, 54, 80, 81, 65, 70.5, 49, 48, 71, 68, 62, 78.5, 72, 76.5, 71.5, 53, 72, 59, 73, 70.5, 66.5, 65.5, 53.5, 46.5, 61.5, 75.5, 64, 62.5, 74.5, 52, 60, 68, 70, 58, 65, 65.5, 62, 65.5, 54.5, 54.5, 66.5, 62, 65, 74, 67.5, 63.5, 65, 57, 65.5, 57.5, 79, 78, 58, 57, 55.5, 73.5, 49.5, 66, 78, 50, 66, 78, 67.5, 59, 51, 80, 58, 82, 65, 56.5, 61.5, 61, 74, 54, 62.5, 70.5, 62.5, 70, 73.5, 69.5, 62, 63, 55.5, 66.5, 78, 66, 66.5, 83, 70.5, 76.5, 58.5, 47, 70, 51, 64.5, 47, 72.5, 66.5, 61, 57.5, 56, 78.5, 65.5, 62.5, 65, 57, 71.5, 45, 59, 72, 62, 84, 51, 63, 61, 64.5, 78.5, 79, 74.5, 60.5, 67, 43, 60, 71, 64, 57.5, 60, 62, 72, 68.5, 69.5, 77, 70, 54, 65.5, 68, 55, 53, 68, 67, 70, 67, 76.5, 64.5, 63, 60.5, 63.5, 67, 59.5, 77, 60, 66, 79, 77, 66.5, 70.5, 59, 67, 54, 64, 62, 54, 76, 66, 65, 73, 66, 72, 55.5, 62, 70.5, 69.5, 92.5, 81.5, 58, 73.5, 80, 66, 80.5, 63.5, 56, 66, 52, 87, 69.5, 72, 64.5, 66.5, 70.5, 61, 59.5, 71.5, 58, 52, 61, 63.5, 66.5, 70, 62, 61.5, 59.5, 48, 58.5, 80, 74, 71, 56.5, 53.5, 70, 46, 60.5, 73.5, 73.5, 63.5, 81, 74.5, 76, 74.5, 63.5, 72, 58, 53, 78, 67.5, 64, 70, 73.5, 66, 64.5, 72.5, 67, 76.5, 66, 71, 67, 73.5, 85.5, 71, 67, 81.5, 83, 71, 69, 57, 64, 81.5, 58, 86, 53, 58.5, 60, 58.5, 63, 64.5, 58, 71, 62, 74, 86.5, 80, 63, 72, 58.5, 88, 60, 77.5, 68, 58, 53.5, 68, 64.5, 56.5, 69, 69.5, 66, 51.5, 66.5, 84, 74, 62, 89, 57, 62, 70.5, 78, 62, 60, 71.5, 78.5, 57, 79, 69, 59, 82, 55, 62, 70.5, 64, 62.5, 57, 55, 46.5, 75.5, 65.5, 78.5, 67.5, 64.5, 78.5, 68.5, 62.5, 76, 46, 62, 75, 72.5, 48.5, 53.5, 57.5, 57, 70.5, 63, 75.5, 80.5, 74, 63.5, 51.5, 84.5, 64, 70.5, 63, 84, 75, 91.5, 80, 55, 65, 64, 77.5, 66.5, 49.5, 44, 77, 60, 74, 55.5, 61.5, 83.5, 70, 65, 44.5, 58.5, 46.5, 50.5, 71, 53, 69.5, 63, 74, 60, 68, 85, 68.5, 77.5, 57.5, 77, 53.5, 76, 76, 56, 82, 61, 70, 65.5, 79, 86, 70.5, 80.5, 56.5, 64.5, 76, 64, 77.5, 81, 84.5, 66, 70, 71, 73.5, 69.5, 60.5, 71, 61, 69.5, 69.5, 52.5, 60.5, 63, 78, 70, 60, 59, 67, 67, 51.5, 63.5, 57, 61, 74.5, 71, 77, 81, 57, 51.5, 86.5, 56.5, 61.5, 42, 87.5, 55, 66, 66, 60.5, 62, 73, 59.5, 60, 64, 70.5, 75.5, 71, 67.5, 52, 54, 73, 60, 54, 51, 76, 70, 50.5, 61, 64, 63, 83.5, 77.5, 72, 52.5, 56, 78.5, 75, 70, 82, 67.5, 65.5, 58.5, 66, 72, 66.5, 52.5, 58, 60, 70, 57, 67.5, 63.5, 61, 63.5, 60, 82, 55.5, 82, 70.5, 70.5, 57, 75, 64, 76, 75.5, 59.5, 52.5, 88.5, 60.5, 58.5, 69, 46, 57.5, 59.5, 74, 58, 62, 72, 57, 66, 37.5, 77, 71, 57, 69, 61, 54, 64, 80, 55, 72, 78, 73, 66.5, 77, 71.5, 75.5, 61, 52.5, 78, 69.5, 90, 66.5, 73.5, 67, 50, 77, 72, 65.5, 51.5, 69.5, 89, 74.5, 66, 53, 69.5, 74.5, 68, 71.5, 74, 64, 65, 58, 61, 70, 66, 69.5, 66.5, 75.5, 70, 67, 83, 69, 58.5, 66, 72, 60, 67, 64.5, 70, 74, 59.5, 75, 81, 77.5, 70, 68.5, 68, 63.5, 63.5, 66.5, 70.5, 69.5, 57.5, 61, 71, 75, 54, 60, 43, 59, 60, 50, 65, 66.5, 61.5, 68, 64, 71.5, 71.5, 72.5, 65, 59.5, 88, 63.5, 72.5, 65, 61.5, 44, 74, 78.5, 62.5, 64.5, 74, 70.5, 90.5, 63.5, 49, 67.5, 66, 75, 80, 53.5, 58, 67, 54, 60, 71.5, 79, 73, 74, 89.5, 69.5, 56, 79, 65.5, 68, 64, 76, 65, 75, 71.5, 87, 72, 67, 73.5, 75, 63.5, 59.5, 55, 66, 62.5, 70.5, 73.5, 55.5, 61, 55.5, 66.5, 65, 70.5, 69, 65, 54, 71, 86.5, 69, 73.5, 47, 82.5, 70.5, 61.5, 61, 72.5, 52, 66.5, 61.5, 74, 59.5, 72, 69, 71.5, 66, 67, 76.5, 71, 67, 63, 54, 68.5, 72, 77, 69.5, 78.5, 74, 44, 64.5, 69.5, 56, 59, 77, 66.5, 75, 56.5, 53.5, 76.5, 66, 51.5, 74, 69, 73.5, 55, 70, 41, 59, 67, 75, 69.5, 56.5, 58.5, 63, 58, 62.5, 64, 59.5, 64, 69.5, 63.5, 53, 83, 80, 50, 77, 79, 44.5, 67.5, 86.5, 82, 74, 62, 41, 64, 67, 68, 66.5, 73, 64, 64.5, 65, 62.5, 70, 56, 63.5, 75, 59, 75.5, 67, 77, 68.5, 71, 67.5, 72, 69, 48, 64, 74, 63.5, 53, 63, 66, 72, 49, 59.5, 66.5, 71.5, 77, 64.5, 65.5, 66, 69, 65.5, 58, 54, 60, 59, 64, 52, 69.5, 62, 70.5, 50.5, 45, 48, 68.5, 68, 57.5, 59, 68, 67.5, 56.5, 67.5, 59.5, 73, 58.5, 72.5, 62, 59.5, 66, 79, 50.5, 81, 85, 70.5, 64.5, 60, 48, 55, 53, 66, 70, 66, 70, 50, 80.5, 58, 67.5, 80, 73.5, 61, 67, 59.5, 52.5, 70, 58, 54, 61, 47.5, 61, 60, 56, 67.5, 47.5, 67.5, 65, 74.5, 72, 80.5, 58, 73.5, 53.5, 53.5, 75.5, 71.5, 77, 65.5, 64.5, 67, 69, 73.5, 57.5, 79, 68, 58.5, 57, 62.5, 66, 53, 63.5, 69.5, 78, 61.5, 65, 49.5, 57.5, 73.5, 65.5, 59.5, 67, 74, 58, 69.5, 63.5, 65.5, 73, 56, 69.5, 71.5, 71, 60, 68.5, 87.5, 50.5, 83, 66, 56.5, 69, 64.5, 66.5, 74.5, 61.5, 68, 59.5, 56, 59, 51, 65.5, 51.5, 61, 68, 62.5, 66, 43.5, 84.5, 61.5, 63.5, 66, 66.5, 59, 77.5, 85.5, 69.5, 66, 60, 61, 64, 65.5, 55, 77, 51.5, 61.5, 74, 78.5, 66.5, 76, 62, 58.5, 56.5, 78, 57, 70.5, 71, 54, 61, 64, 60.5, 74, 55.5, 62.5, 63, 75, 56.5, 81, 62.5, 62, 73.5, 83.5, 61.5, 52.5, 69, 65, 84.5, 56, 59, 72, 68, 49.5, 72, 72, 85.5, 66, 55, 71, 78.5, 65.5, 86.5, 73, 75, 58.5, 75.5, 68, 57, 91, 67.5, 71.5, 58.5, 55.5, 43.5, 70, 65, 79, 68, 70, 48, 64.5, 55, 78, 69.5, 52, 65.5, 66, 71, 59, 76, 68.5, 61, 62, 72.5, 62, 59.5, 76.5, 67.5, 63.5, 67, 70, 75, 75, 60, 58.5, 56.5, 61.5, 64.5, 79, 59, 47, 51.5, 72, 70, 78, 69, 60.5, 88, 74, 69.5, 78, 70, 57.5, 92, 72.5, 78, 67.5, 74.5, 58, 68.5, 75, 68, 63.5, 58.5, 52.5, 65, 84, 60, 67.5, 57, 72.5, 47, 64, 82.5, 64, 59, 46, 74.5, 88.5, 62.5, 72, 75, 76.5, 60, 77, 60.5, 52, 66, 76.5, 75, 48, 73.5, 75, 65, 57.5, 60, 75.5, 71, 58, 66.5, 50.5, 64.5, 56.5, 84, 55, 57.5, 58, 80.5, 52, 84, 58, 72, 55, 74, 61, 57.5, 69, 50.5, 64, 60, 57.5, 71, 57, 60, 84, 67, 71, 69.5, 43, 68, 74, 63, 65.5, 74.5, 65, 56.5, 69.5, 75.5, 67, 70, 55.5, 80.5, 74, 69, 54.5, 78, 74.5, 69.5, 71.5, 58.5, 70.5, 59, 76, 68, 67, 53.5, 86.5, 65, 86, 80.5, 48, 62, 56, 67.5, 71, 70.5, 69, 55, 73, 67.5, 74.5, 73, 67, 54, 66.5, 74, 74.5, 69, 61, 67, 68, 80, 65.5, 58, 69, 74, 73.5, 64, 65, 59.5, 63.5, 58, 74.5, 64.5, 70, 60, 64.5, 70, 58, 77.5, 52, 68.5, 47.5, 62.5, 68, 64, 70, 84.5, 62.5, 60, 78, 68, 70, 73.5, 66, 54.5, 87, 59, 61.5, 72, 53.5, 71.5, 66, 53.5, 61.5, 70.5, 77, 56.5, 58, 69.5, 49.5, 66, 62.5, 75.5, 43, 65.5, 71, 58.5, 74, 73.5, 64, 51, 66, 60, 49.5, 54, 76, 61.5, 56.5, 58.5, 78.5, 64, 76, 57.5, 57, 69, 73.5, 67, 59, 64.5, 58.5, 67.5, 63, 63, 83, 91.5, 57.5, 71, 67.5, 66.5, 67.5, 47.5, 79, 52, 64.5, 60.5, 76, 60.5, 55, 66, 64.5, 72, 86, 70, 53.5, 43, 60, 87.5, 84, 56.5, 62.5, 54.5, 54, 58.5, 46, 76.5, 61, 64, 90, 72.5, 80.5, 55, 57.5, 61, 82.5, 77.5, 58.5, 57, 59.5, 59, 47, 73.5, 57, 57, 67, 74, 68, 75, 73, 76, 59.5, 71, 77, 76, 52, 58, 66, 72, 88, 64, 79, 72.5, 59, 50, 69.5, 58.5, 62.5, 68.5, 55.5, 51, 63.5, 56, 57, 85.5, 73, 72, 62.5, 62, 63.5, 55, 77.5, 50.5, 80, 56, 74.5, 54, 71, 74, 56.5, 65, 73, 72.5, 73, 65.5, 60.5, 70.5, 76.5, 65, 67, 53.5, 72.5, 72, 76.5, 71, 60.5, 64.5, 75, 61, 56.5, 76.5, 70, 69, 69, 47.5, 73, 62, 41, 53.5, 65, 58.5, 56, 74, 71.5, 67.5, 54, 58.5, 73, 77, 69, 63, 52, 68.5, 72.5, 68, 75, 77, 55.5, 71, 75, 64, 74, 65.5, 79, 64.5, 81, 61.5, 76, 68, 70, 73.5, 67, 69.5, 73.5, 66.5, 64, 74.5, 54.5, 52.5, 54, 81, 65.5, 62.5, 59.5, 61, 67, 63, 63.5, 71, 76.5, 86, 59.5, 63, 70.5, 73, 68, 68, 59.5, 59, 62.5, 49, 51, 72, 69.5, 64, 61, 62, 68.5, 85.5, 58, 61, 59, 71, 71, 76.5, 56, 53, 65, 67, 59, 52, 56.5, 80, 54.5, 66, 68, 64, 58.5, 64.5, 82, 78, 52, 72, 66, 67.5, 56.5, 77.5, 74, 65, 77.5, 55, 83.5, 97, 48.5, 71, 52, 63, 76.5, 53.5, 85, 67.5, 63, 47, 67, 69, 64, 74, 71, 54.5, 70, 74, 49, 66, 67.5, 66.5, 68, 65.5, 46, 70, 76.5, 57, 52.5, 48.5, 64, 58, 71, 71.5, 77.5, 81, 68, 79.5, 53, 78, 75.5, 68.5, 65, 66, 53, 68, 58, 73, 70.5, 68, 76, 64.5, 71, 47.5, 65.5, 71, 63.5, 45.5, 77, 66, 50.5, 62.5, 72, 69, 65, 48, 48, 92, 67, 67.5, 66, 59.5, 67.5, 66, 58.5, 64.5, 49, 60, 62, 54, 48.5, 69, 56, 64, 58, 58, 64, 67, 66.5, 72.5, 65, 63.5, 70.5, 71, 72.5, 69, 69, 58.5, 72, 73, 74, 61, 73, 62.5, 64, 61, 59, 64, 64.5, 54.5, 59, 65, 66, 70.5, 74, 68, 66.5, 65.5, 53, 81.5, 57, 73.5, 87, 63, 82, 67.5, 58, 74, 77.5, 71, 79.5, 72, 64, 70, 53.5, 77, 56.5, 65, 35.5, 76, 74, 67, 63, 68, 66.5, 71, 63, 68, 66.5, 59, 69, 63.5, 65, 57, 81, 52, 63, 70.5, 64.5, 64.5, 78.5, 60, 48.5, 69, 72, 70, 63.5, 77.5, 70.5, 59, 69, 44.5, 69] print(len(l)) #对列表中的数据进行统计计数分析 c=Counter(l) print(c)#得到一个集合,集合中只有一个字典元素 # 将该集合转换为字典 dic1=dict(c) print(dic1.keys()) print(dic1.values()) # 将字典的键以列表的形式提取出来 l1=[] for i in dic1.keys(): l1.append(i) print(l1) # 将字典的值以列表的形式提取出来 l2=[] for i in dic1.values(): l2.append(i) print(l2) #做直方图 plt.bar(l1,l2) plt.show()
代码演示结果
19619 Counter({66: 528, 64: 515, 68: 496, 70: 482, 62: 465, 72: 460, 74: 436, 65: 432, 60: 426, 71: 425, 63: 417, 61: 409, 67: 404, 69: 400, 67.5: 373, 59: 368, 58: 366, 65.5: 348, 64.5: 335, 73: 332, 70.5: 330, 69.5: 325, 66.5: 321, 63.5: 310, 68.5: 309, 57: 294, 76: 293, 61.5: 293, 71.5: 284, 59.5: 281, 77: 274, 72.5: 273, 75: 269, 73.5: 267, 56: 258, 62.5: 257, 58.5: 251, 78: 250, 60.5: 248, 54: 240, 55: 231, 74.5: 223, 57.5: 212, 76.5: 209, 80: 207, 75.5: 203, 53: 196, 79: 190, 56.5: 177, 51: 170, 52: 165, 78.5: 164, 77.5: 159, 82: 150, 55.5: 150, 54.5: 142, 53.5: 139, 81: 135, 79.5: 128, 80.5: 120, 50: 120, 49: 112, 51.5: 105, 52.5: 97, 84: 97, 83: 92, 49.5: 88, 81.5: 78, 47: 78, 82.5: 76, 50.5: 68, 48: 65, 86: 62, 84.5: 57, 45: 53, 85: 53, 46: 51, 47.5: 50, 83.5: 48, 86.5: 46, 48.5: 46, 43: 41, 88: 41, 44: 36, 87: 34, 85.5: 33, 87.5: 26, 46.5: 24, 89: 24, 88.5: 21, 90: 21, 41.5: 20, 92: 19, 45.5: 18, 42: 17, 90.5: 16, 41: 15, 43.5: 14, 44.5: 13, 89.5: 13, 91: 12, 40: 11, 91.5: 8, 92.5: 8, 42.5: 8, 93: 7, 40.5: 6, 39.5: 5, 37: 5, 96: 5, 37.5: 5, 38: 4, 39: 4, 94: 4, 35: 3, 98: 3, 33: 3, 95: 2, 35.5: 2, 95.5: 2, 36: 2, 97: 2, 94.5: 1, 38.5: 1, 33.5: 1, 32: 1, 34: 1, 36.5: 1}) dict_keys([87, 63, 65, 71, 73.5, 81.5, 52.5, 75.5, 79, 58.5, 63.5, 52, 58, 57.5, 65.5, 72, 80, 64.5, 69, 64, 78.5, 71.5, 43, 73, 66.5, 70, 66, 69.5, 56, 75, 54.5, 67.5, 79.5, 74, 46, 57, 62, 62.5, 61, 76, 59, 86, 77, 85.5, 82, 55.5, 54, 61.5, 67, 49, 53, 60, 46.5, 47.5, 80.5, 68.5, 55, 78, 68, 76.5, 72.5, 83, 51, 81, 77.5, 82.5, 49.5, 95, 53.5, 83.5, 56.5, 60.5, 70.5, 90.5, 47, 74.5, 86.5, 87.5, 94.5, 92, 51.5, 45, 88.5, 59.5, 50.5, 84, 50, 48.5, 44, 90, 40.5, 48, 89, 85, 91, 84.5, 88, 40, 41, 42, 39.5, 35, 43.5, 41.5, 45.5, 91.5, 92.5, 38, 38.5, 44.5, 37, 39, 89.5, 93, 96, 33.5, 42.5, 98, 94, 32, 33, 37.5, 35.5, 95.5, 36, 34, 36.5, 97]) dict_values([34, 417, 432, 425, 267, 78, 97, 203, 190, 251, 310, 165, 366, 212, 348, 460, 207, 335, 400, 515, 164, 284, 41, 332, 321, 482, 528, 325, 258, 269, 142, 373, 128, 436, 51, 294, 465, 257, 409, 293, 368, 62, 274, 33, 150, 150, 240, 293, 404, 112, 196, 426, 24, 50, 120, 309, 231, 250, 496, 209, 273, 92, 170, 135, 159, 76, 88, 2, 139, 48, 177, 248, 330, 16, 78, 223, 46, 26, 1, 19, 105, 53, 21, 281, 68, 97, 120, 46, 36, 21, 6, 65, 24, 53, 12, 57, 41, 11, 15, 17, 5, 3, 14, 20, 18, 8, 8, 4, 1, 13, 5, 4, 13, 7, 5, 1, 8, 3, 4, 1, 3, 5, 2, 2, 2, 1, 1, 2]) [87, 63, 65, 71, 73.5, 81.5, 52.5, 75.5, 79, 58.5, 63.5, 52, 58, 57.5, 65.5, 72, 80, 64.5, 69, 64, 78.5, 71.5, 43, 73, 66.5, 70, 66, 69.5, 56, 75, 54.5, 67.5, 79.5, 74, 46, 57, 62, 62.5, 61, 76, 59, 86, 77, 85.5, 82, 55.5, 54, 61.5, 67, 49, 53, 60, 46.5, 47.5, 80.5, 68.5, 55, 78, 68, 76.5, 72.5, 83, 51, 81, 77.5, 82.5, 49.5, 95, 53.5, 83.5, 56.5, 60.5, 70.5, 90.5, 47, 74.5, 86.5, 87.5, 94.5, 92, 51.5, 45, 88.5, 59.5, 50.5, 84, 50, 48.5, 44, 90, 40.5, 48, 89, 85, 91, 84.5, 88, 40, 41, 42, 39.5, 35, 43.5, 41.5, 45.5, 91.5, 92.5, 38, 38.5, 44.5, 37, 39, 89.5, 93, 96, 33.5, 42.5, 98, 94, 32, 33, 37.5, 35.5, 95.5, 36, 34, 36.5, 97] [34, 417, 432, 425, 267, 78, 97, 203, 190, 251, 310, 165, 366, 212, 348, 460, 207, 335, 400, 515, 164, 284, 41, 332, 321, 482, 528, 325, 258, 269, 142, 373, 128, 436, 51, 294, 465, 257, 409, 293, 368, 62, 274, 33, 150, 150, 240, 293, 404, 112, 196, 426, 24, 50, 120, 309, 231, 250, 496, 209, 273, 92, 170, 135, 159, 76, 88, 2, 139, 48, 177, 248, 330, 16, 78, 223, 46, 26, 1, 19, 105, 53, 21, 281, 68, 97, 120, 46, 36, 21, 6, 65, 24, 53, 12, 57, 41, 11, 15, 17, 5, 3, 14, 20, 18, 8, 8, 4, 1, 13, 5, 4, 13, 7, 5, 1, 8, 3, 4, 1, 3, 5, 2, 2, 2, 1, 1, 2]
直方图
结果显示,在经过19619次的运算以后,分值主要几种在50-80分之间,直方图形状与正太分布基本吻合,表明运算该分值设定较为合理。
这个是自己自学python以来的一个小应用,中间走了一些弯路,上面的代码还存在很多可优化空间,比如是否需要写12个列表,以及如何快速完成24576000次的计算等,这都需要自己以后的不断学习与积累。不足之处还需大家指正。
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